Maths-

General

Easy

Question

# Express 0.5248 in the lowest form.

Hint:

### Make the decimal into a proper fraction and then find the lowest form.

## The correct answer is: 0.5248

### Complete step by step solution:

0.5248 can be written as

Here, we have 4 decimals.

On multiplying numerator and denominator by 10000, we get

On simplifications, we have

So is the lowest form of 0.5248

### Related Questions to study

Maths-

### Write the following numbers in the scientific notation : 0.00000000065

Hint:-

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

a

2. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

0.00000000065

= 6.5 × 10

Final Answer:-

The given expressions can be written in their scientific notation as 6.5 × 10

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

^{n}, where a is called the base and n is its power/ exponent.a

^{n}= a × a × ... × a n times.2. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

0.00000000065

= 6.5 × 10

^{-10}…............................ (We shifted the decimal 10 places to the right to get a number between 1 and 10)Final Answer:-

The given expressions can be written in their scientific notation as 6.5 × 10

^{-10.}### Write the following numbers in the scientific notation : 0.00000000065

Maths-General

Hint:-

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

a

2. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

0.00000000065

= 6.5 × 10

Final Answer:-

The given expressions can be written in their scientific notation as 6.5 × 10

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

^{n}, where a is called the base and n is its power/ exponent.a

^{n}= a × a × ... × a n times.2. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

0.00000000065

= 6.5 × 10

^{-10}…............................ (We shifted the decimal 10 places to the right to get a number between 1 and 10)Final Answer:-

The given expressions can be written in their scientific notation as 6.5 × 10

^{-10.}Maths-

### Write the following numbers in the scientific notation : a) 5,07,460000000

Hint:-

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

a

2. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

Step-by-step solution:-

a) 5,07,460000000.00

= 5.07460000000 × 10

= 5.0746 × 10

Final Answer:-

∴ The given expressions can be written in their scientific notation as 5.0746 × 10

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

^{n}, where a is called the base and n is its power/ exponent.a

^{n}= a × a × ... × a n times.2. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

Step-by-step solution:-

a) 5,07,460000000.00

= 5.07460000000 × 10

^{11}…................ (We shifted the decimal 11 places towards the left to get a number between 1 and 10)= 5.0746 × 10

^{11}Final Answer:-

∴ The given expressions can be written in their scientific notation as 5.0746 × 10

^{11}### Write the following numbers in the scientific notation : a) 5,07,460000000

Maths-General

Hint:-

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

a

2. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

Step-by-step solution:-

a) 5,07,460000000.00

= 5.07460000000 × 10

= 5.0746 × 10

Final Answer:-

∴ The given expressions can be written in their scientific notation as 5.0746 × 10

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

^{n}, where a is called the base and n is its power/ exponent.a

^{n}= a × a × ... × a n times.2. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

Step-by-step solution:-

a) 5,07,460000000.00

= 5.07460000000 × 10

^{11}…................ (We shifted the decimal 11 places towards the left to get a number between 1 and 10)= 5.0746 × 10

^{11}Final Answer:-

∴ The given expressions can be written in their scientific notation as 5.0746 × 10

^{11}Maths-

### A town has about 25,00 people living in it and the mayor wants to send each person 10,00 as a celebration gift because the town won the Federal Lottery for Small Towns. How much money would the town need to give out this celebration gift?

Hint:-

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

a

2. Total Amount required = Number of people living in the town × Amount required for each person.

Step-by-step solution:-

Number of people living in the town = 2500 ….................................. (Equation i)

Amount required for each person = 1000 …...................................... (Equation ii)

Now, we know that-

Total Amount required = Number of people living in the town × Amount required for each person

∴ Total Amount required = 2500 × 1000 ........................................... (From Equations i & ii)

∴ Total Amount required = 25,00,000

Final Answer:-

∴ The town needs 25,00,000 units of its currency to give out this celebration gift.

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

^{n}, where a is called the base and n is its power/ exponent.a

^{n}= a × a × ... × a n times.2. Total Amount required = Number of people living in the town × Amount required for each person.

Step-by-step solution:-

Number of people living in the town = 2500 ….................................. (Equation i)

Amount required for each person = 1000 …...................................... (Equation ii)

Now, we know that-

Total Amount required = Number of people living in the town × Amount required for each person

∴ Total Amount required = 2500 × 1000 ........................................... (From Equations i & ii)

∴ Total Amount required = 25,00,000

Final Answer:-

∴ The town needs 25,00,000 units of its currency to give out this celebration gift.

### A town has about 25,00 people living in it and the mayor wants to send each person 10,00 as a celebration gift because the town won the Federal Lottery for Small Towns. How much money would the town need to give out this celebration gift?

Maths-General

Hint:-

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

a

2. Total Amount required = Number of people living in the town × Amount required for each person.

Step-by-step solution:-

Number of people living in the town = 2500 ….................................. (Equation i)

Amount required for each person = 1000 …...................................... (Equation ii)

Now, we know that-

Total Amount required = Number of people living in the town × Amount required for each person

∴ Total Amount required = 2500 × 1000 ........................................... (From Equations i & ii)

∴ Total Amount required = 25,00,000

Final Answer:-

∴ The town needs 25,00,000 units of its currency to give out this celebration gift.

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

^{n}, where a is called the base and n is its power/ exponent.a

^{n}= a × a × ... × a n times.2. Total Amount required = Number of people living in the town × Amount required for each person.

Step-by-step solution:-

Number of people living in the town = 2500 ….................................. (Equation i)

Amount required for each person = 1000 …...................................... (Equation ii)

Now, we know that-

Total Amount required = Number of people living in the town × Amount required for each person

∴ Total Amount required = 2500 × 1000 ........................................... (From Equations i & ii)

∴ Total Amount required = 25,00,000

Final Answer:-

∴ The town needs 25,00,000 units of its currency to give out this celebration gift.

Maths-

### The temperature halfway to the Sun from venus is approximately 1,800° c and scientists theorize that it may be up to 26,000 times hotter at the center of the Sun. Approximately how hot is it at the center of the Sun?

Hint:-

In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

a

Step-by-step solution:-

Temperature at the centre of the sun = Temperature halfway to the sun × 26,000 ….................... (As per given information)

∴ Temperature at the centre of the sun = 1,800° c × 26,000

∴ Temperature at the centre of the sun = 4,68,00,000° c

or Temperature at the centre of the sun = (4.68 × 10

Final Answer:-

∴ Temperature at the centre of the sun is approximately- (4.68 × 107)° c or 4,68,00,000° c

In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

^{n}, where a is called the base and n is its power/ exponent.a

^{n}= a × a × ... × a n times.Step-by-step solution:-

Temperature at the centre of the sun = Temperature halfway to the sun × 26,000 ….................... (As per given information)

∴ Temperature at the centre of the sun = 1,800° c × 26,000

∴ Temperature at the centre of the sun = 4,68,00,000° c

or Temperature at the centre of the sun = (4.68 × 10

^{7})° cFinal Answer:-

∴ Temperature at the centre of the sun is approximately- (4.68 × 107)° c or 4,68,00,000° c

### The temperature halfway to the Sun from venus is approximately 1,800° c and scientists theorize that it may be up to 26,000 times hotter at the center of the Sun. Approximately how hot is it at the center of the Sun?

Maths-General

Hint:-

In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

a

Step-by-step solution:-

Temperature at the centre of the sun = Temperature halfway to the sun × 26,000 ….................... (As per given information)

∴ Temperature at the centre of the sun = 1,800° c × 26,000

∴ Temperature at the centre of the sun = 4,68,00,000° c

or Temperature at the centre of the sun = (4.68 × 10

Final Answer:-

∴ Temperature at the centre of the sun is approximately- (4.68 × 107)° c or 4,68,00,000° c

In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

^{n}, where a is called the base and n is its power/ exponent.a

^{n}= a × a × ... × a n times.Step-by-step solution:-

Temperature at the centre of the sun = Temperature halfway to the sun × 26,000 ….................... (As per given information)

∴ Temperature at the centre of the sun = 1,800° c × 26,000

∴ Temperature at the centre of the sun = 4,68,00,000° c

or Temperature at the centre of the sun = (4.68 × 10

^{7})° cFinal Answer:-

∴ Temperature at the centre of the sun is approximately- (4.68 × 107)° c or 4,68,00,000° c

Maths-

### A state has an area of approximately 9,604,100,000 square miles and has approximately 110,000 people. How much area is this per person?

Hint:-

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

a

2. Total Area = Number of people living in the area × Area per person.

Step-by-step solution:-

Total Area = 9604100000 sq. miles …................................................ (Equation i)

Number of people living in the area = 110000 …............................. (Equation ii)

Now, we know that-

Total Area = Number of people living in the area × Area per person

∴ 9604100000 = 110000 × Area per person

∴ 9604100000 / 110000 = Area per person

∴ 87,310 = Area per person.

Final Answer:-

∴ Area per person for the given state is 87,310.

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

^{n}, where a is called the base and n is its power/ exponent.a

^{n}= a × a × ... × a n times.2. Total Area = Number of people living in the area × Area per person.

Step-by-step solution:-

Total Area = 9604100000 sq. miles …................................................ (Equation i)

Number of people living in the area = 110000 …............................. (Equation ii)

Now, we know that-

Total Area = Number of people living in the area × Area per person

∴ 9604100000 = 110000 × Area per person

∴ 9604100000 / 110000 = Area per person

∴ 87,310 = Area per person.

Final Answer:-

∴ Area per person for the given state is 87,310.

### A state has an area of approximately 9,604,100,000 square miles and has approximately 110,000 people. How much area is this per person?

Maths-General

Hint:-

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

a

2. Total Area = Number of people living in the area × Area per person.

Step-by-step solution:-

Total Area = 9604100000 sq. miles …................................................ (Equation i)

Number of people living in the area = 110000 …............................. (Equation ii)

Now, we know that-

Total Area = Number of people living in the area × Area per person

∴ 9604100000 = 110000 × Area per person

∴ 9604100000 / 110000 = Area per person

∴ 87,310 = Area per person.

Final Answer:-

∴ Area per person for the given state is 87,310.

1. In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as a

^{n}, where a is called the base and n is its power/ exponent.a

^{n}= a × a × ... × a n times.2. Total Area = Number of people living in the area × Area per person.

Step-by-step solution:-

Total Area = 9604100000 sq. miles …................................................ (Equation i)

Number of people living in the area = 110000 …............................. (Equation ii)

Now, we know that-

Total Area = Number of people living in the area × Area per person

∴ 9604100000 = 110000 × Area per person

∴ 9604100000 / 110000 = Area per person

∴ 87,310 = Area per person.

Final Answer:-

∴ Area per person for the given state is 87,310.

Maths-

### Convert the following fractions to repeating decimals

d)

Complete step by step solution:

(d) On dividing 1 by 6, we have 0.1666666666.. as the corresponding decimal number.

(d) On dividing 1 by 6, we have 0.1666666666.. as the corresponding decimal number.

### Convert the following fractions to repeating decimals

d)

Maths-General

Complete step by step solution:

(d) On dividing 1 by 6, we have 0.1666666666.. as the corresponding decimal number.

(d) On dividing 1 by 6, we have 0.1666666666.. as the corresponding decimal number.

Maths-

### Convert the following fractions to repeating decimals

c)

Complete step by step solution:

(c) On dividing 10 by 33, we have 0.3030303030.. as the corresponding decimal number.

(c) On dividing 10 by 33, we have 0.3030303030.. as the corresponding decimal number.

### Convert the following fractions to repeating decimals

c)

Maths-General

Complete step by step solution:

(c) On dividing 10 by 33, we have 0.3030303030.. as the corresponding decimal number.

(c) On dividing 10 by 33, we have 0.3030303030.. as the corresponding decimal number.

Maths-

### Convert the following fractions to repeating decimals

b)

Complete step by step solution:

(b) On dividing 7 by 18, we have 0.3888888888.. as the corresponding decimal number.

(b) On dividing 7 by 18, we have 0.3888888888.. as the corresponding decimal number.

### Convert the following fractions to repeating decimals

b)

Maths-General

Complete step by step solution:

(b) On dividing 7 by 18, we have 0.3888888888.. as the corresponding decimal number.

(b) On dividing 7 by 18, we have 0.3888888888.. as the corresponding decimal number.

Maths-

### Convert the following fractions to repeating decimals

a)

Complete step by step solution:

(a) On dividing 11 by 12, we have 0.9166666666.. as the corresponding decimal number.

(a) On dividing 11 by 12, we have 0.9166666666.. as the corresponding decimal number.

### Convert the following fractions to repeating decimals

a)

Maths-General

Complete step by step solution:

(a) On dividing 11 by 12, we have 0.9166666666.. as the corresponding decimal number.

(a) On dividing 11 by 12, we have 0.9166666666.. as the corresponding decimal number.

Maths-

### Convert the following repeating decimals to fractions

d) 3.25252525252...............

Complete step by step solution:

(d) Let x = 0.25252525

Now multiply by 100 on both the sides,

We get, 100x = 25.252525

On subtracting x from both the sides, we have

Now we have a fraction for 0.252525. On adding it with 3, we have

as fraction

Hence 3.25252525….=

(d) Let x = 0.25252525

Now multiply by 100 on both the sides,

We get, 100x = 25.252525

On subtracting x from both the sides, we have

Now we have a fraction for 0.252525. On adding it with 3, we have

as fraction

Hence 3.25252525….=

### Convert the following repeating decimals to fractions

d) 3.25252525252...............

Maths-General

Complete step by step solution:

(d) Let x = 0.25252525

Now multiply by 100 on both the sides,

We get, 100x = 25.252525

On subtracting x from both the sides, we have

Now we have a fraction for 0.252525. On adding it with 3, we have

as fraction

Hence 3.25252525….=

(d) Let x = 0.25252525

Now multiply by 100 on both the sides,

We get, 100x = 25.252525

On subtracting x from both the sides, we have

Now we have a fraction for 0.252525. On adding it with 3, we have

as fraction

Hence 3.25252525….=

Maths-

### Convert the following repeating decimals to fractions

c) 0.2151515151515........

Complete step by step solution:

(c) Let x = 0.215151515…(i)

Now multiply by 10 on both the sides in (i),

We get, 10x = 2.151515

Now multiply by 100 on both the sides in (i),

100x = 21.51515

Now multiply by 1000 on both the sides in (i),

1000x = 215.151515

On subtracting 10x from both the sides, we have

On simplification, we have

Hence 0.2151515151515....... =

(c) Let x = 0.215151515…(i)

Now multiply by 10 on both the sides in (i),

We get, 10x = 2.151515

Now multiply by 100 on both the sides in (i),

100x = 21.51515

Now multiply by 1000 on both the sides in (i),

1000x = 215.151515

On subtracting 10x from both the sides, we have

On simplification, we have

Hence 0.2151515151515....... =

### Convert the following repeating decimals to fractions

c) 0.2151515151515........

Maths-General

Complete step by step solution:

(c) Let x = 0.215151515…(i)

Now multiply by 10 on both the sides in (i),

We get, 10x = 2.151515

Now multiply by 100 on both the sides in (i),

100x = 21.51515

Now multiply by 1000 on both the sides in (i),

1000x = 215.151515

On subtracting 10x from both the sides, we have

On simplification, we have

Hence 0.2151515151515....... =

(c) Let x = 0.215151515…(i)

Now multiply by 10 on both the sides in (i),

We get, 10x = 2.151515

Now multiply by 100 on both the sides in (i),

100x = 21.51515

Now multiply by 1000 on both the sides in (i),

1000x = 215.151515

On subtracting 10x from both the sides, we have

On simplification, we have

Hence 0.2151515151515....... =

Maths-

### Convert the following repeating decimals to fractions

b) 1.5555555555555

Complete step by step solution:

(b) Let x = 0.55555555

Now multiply by 10 on both the sides,

We get, 10x = 5.5555555

On subtracting x from both the sides, we have

Now we have a fraction for 0.5555555. On adding it with 1, we have

as fraction

(b) Let x = 0.55555555

Now multiply by 10 on both the sides,

We get, 10x = 5.5555555

On subtracting x from both the sides, we have

Now we have a fraction for 0.5555555. On adding it with 1, we have

as fraction

### Convert the following repeating decimals to fractions

b) 1.5555555555555

Maths-General

Complete step by step solution:

(b) Let x = 0.55555555

Now multiply by 10 on both the sides,

We get, 10x = 5.5555555

On subtracting x from both the sides, we have

Now we have a fraction for 0.5555555. On adding it with 1, we have

as fraction

(b) Let x = 0.55555555

Now multiply by 10 on both the sides,

We get, 10x = 5.5555555

On subtracting x from both the sides, we have

Now we have a fraction for 0.5555555. On adding it with 1, we have

as fraction

Maths-

### Convert the following repeating decimals to fractions

a) 1.233333333333333333

Complete step by step solution:

(a) Let x = 0.23333333…(i)

Now multiply by 10 on both the sides in (i),

We get, 10x = 2.3333333

Now multiply by 100 on both the sides in (i),

100x = 23.3333333

On subtracting 10x from both the sides, we have

On simplification, we get

Now we have a fraction for 0.2333333…. On adding it with 1, we have

as fraction

(a) Let x = 0.23333333…(i)

Now multiply by 10 on both the sides in (i),

We get, 10x = 2.3333333

Now multiply by 100 on both the sides in (i),

100x = 23.3333333

On subtracting 10x from both the sides, we have

On simplification, we get

Now we have a fraction for 0.2333333…. On adding it with 1, we have

as fraction

### Convert the following repeating decimals to fractions

a) 1.233333333333333333

Maths-General

Complete step by step solution:

(a) Let x = 0.23333333…(i)

Now multiply by 10 on both the sides in (i),

We get, 10x = 2.3333333

Now multiply by 100 on both the sides in (i),

100x = 23.3333333

On subtracting 10x from both the sides, we have

On simplification, we get

Now we have a fraction for 0.2333333…. On adding it with 1, we have

as fraction

(a) Let x = 0.23333333…(i)

Now multiply by 10 on both the sides in (i),

We get, 10x = 2.3333333

Now multiply by 100 on both the sides in (i),

100x = 23.3333333

On subtracting 10x from both the sides, we have

On simplification, we get

Now we have a fraction for 0.2333333…. On adding it with 1, we have

as fraction

Maths-

### Convert the following repeating decimals to fractions

d) 0.488888888888

Complete step by step solution:

(d) Let x = 0.4888888888

Now multiply by 10 on both the sides,

We get, 10x = 4.888888888

On subtracting from both the sides, we have

Multiply by 10 on numerator and denominator of x.

On multiplying, we have . (Since the numerator and denominator of a fraction must be integers)

On simplification, we get

Hence 0.4888888 …. =

(d) Let x = 0.4888888888

Now multiply by 10 on both the sides,

We get, 10x = 4.888888888

On subtracting from both the sides, we have

Multiply by 10 on numerator and denominator of x.

On multiplying, we have . (Since the numerator and denominator of a fraction must be integers)

On simplification, we get

Hence 0.4888888 …. =

### Convert the following repeating decimals to fractions

d) 0.488888888888

Maths-General

Complete step by step solution:

(d) Let x = 0.4888888888

Now multiply by 10 on both the sides,

We get, 10x = 4.888888888

On subtracting from both the sides, we have

Multiply by 10 on numerator and denominator of x.

On multiplying, we have . (Since the numerator and denominator of a fraction must be integers)

On simplification, we get

Hence 0.4888888 …. =

(d) Let x = 0.4888888888

Now multiply by 10 on both the sides,

We get, 10x = 4.888888888

On subtracting from both the sides, we have

Multiply by 10 on numerator and denominator of x.

On multiplying, we have . (Since the numerator and denominator of a fraction must be integers)

On simplification, we get

Hence 0.4888888 …. =

Maths-

### Convert the following repeating decimals to fractions

c) 0.366666666666

Complete step by step solution:

(c) Let x = 0.3666666

Now multiply by 10 on both the sides,

We get, 10x = 3.666666

On subtracting x from both the sides, we have

Multiply by 10 on numerator and denominator of x.

On multiplying, we have . (Since the numerator and denominator of a fraction must be integers)

On simplification, we get

Hence 0.3666666…. =

(c) Let x = 0.3666666

Now multiply by 10 on both the sides,

We get, 10x = 3.666666

On subtracting x from both the sides, we have

Multiply by 10 on numerator and denominator of x.

On multiplying, we have . (Since the numerator and denominator of a fraction must be integers)

On simplification, we get

Hence 0.3666666…. =

### Convert the following repeating decimals to fractions

c) 0.366666666666

Maths-General

Complete step by step solution:

(c) Let x = 0.3666666

Now multiply by 10 on both the sides,

We get, 10x = 3.666666

On subtracting x from both the sides, we have

Multiply by 10 on numerator and denominator of x.

On multiplying, we have . (Since the numerator and denominator of a fraction must be integers)

On simplification, we get

Hence 0.3666666…. =

(c) Let x = 0.3666666

Now multiply by 10 on both the sides,

We get, 10x = 3.666666

On subtracting x from both the sides, we have

Multiply by 10 on numerator and denominator of x.

On multiplying, we have . (Since the numerator and denominator of a fraction must be integers)

On simplification, we get

Hence 0.3666666…. =