Maths-

General

Easy

Question

# Write In a standard form.

Hint:

### Check whether power of 10 is positive or negative, then move the

decimal places and write the standard form.

## The correct answer is: 0.0000034

### Complete step by step solution:

Here we have as the number.

Because of the exponent of 10s term is negative, we must move the decimal 6 places to the left.

So we get, as the standard from.

### Related Questions to study

Maths-

### Express 586000000 in scientific notation

Complete step by step solution:

Here we have the number to be 586000000

Take the number and move a decimal place to the right one position.

So we get 5.86000000

Now we have 8 places to the right of the decimal.

This can be expressed as

Here we have the number to be 586000000

Take the number and move a decimal place to the right one position.

So we get 5.86000000

Now we have 8 places to the right of the decimal.

This can be expressed as

### Express 586000000 in scientific notation

Maths-General

Complete step by step solution:

Here we have the number to be 586000000

Take the number and move a decimal place to the right one position.

So we get 5.86000000

Now we have 8 places to the right of the decimal.

This can be expressed as

Here we have the number to be 586000000

Take the number and move a decimal place to the right one position.

So we get 5.86000000

Now we have 8 places to the right of the decimal.

This can be expressed as

Maths-

### Express 0.00000000002985 as a single digit times a power of ten rounded to the nearest ten millionth?

Complete step by step solution:

Here the digit given is 0.00000000002985.

Here we have 0 in the ten millionth place value and 0 in the hundred millionth place value.

Since we have zeros in all these positions, we get rounded values also as zero

Here the digit given is 0.00000000002985.

Here we have 0 in the ten millionth place value and 0 in the hundred millionth place value.

Since we have zeros in all these positions, we get rounded values also as zero

### Express 0.00000000002985 as a single digit times a power of ten rounded to the nearest ten millionth?

Maths-General

Complete step by step solution:

Here the digit given is 0.00000000002985.

Here we have 0 in the ten millionth place value and 0 in the hundred millionth place value.

Since we have zeros in all these positions, we get rounded values also as zero

Here the digit given is 0.00000000002985.

Here we have 0 in the ten millionth place value and 0 in the hundred millionth place value.

Since we have zeros in all these positions, we get rounded values also as zero

Maths-

### The Population of cities A and B are and 1560,000respectively. The population of city C is twice the population of city B. The population of city C is how many times the population of city A ?

Complete step by step solution:

Population of city A =

Population of city B = 1560000 =

Population of city C = 21560000 =

On dividing population of city C by population of city A, we have

On cancelling on numerator and denominator, we have

Hence the population of city C is 12 times the population of city A.

Population of city A =

Population of city B = 1560000 =

Population of city C = 21560000 =

On dividing population of city C by population of city A, we have

On cancelling on numerator and denominator, we have

Hence the population of city C is 12 times the population of city A.

### The Population of cities A and B are and 1560,000respectively. The population of city C is twice the population of city B. The population of city C is how many times the population of city A ?

Maths-General

Complete step by step solution:

Population of city A =

Population of city B = 1560000 =

Population of city C = 21560000 =

On dividing population of city C by population of city A, we have

On cancelling on numerator and denominator, we have

Hence the population of city C is 12 times the population of city A.

Population of city A =

Population of city B = 1560000 =

Population of city C = 21560000 =

On dividing population of city C by population of city A, we have

On cancelling on numerator and denominator, we have

Hence the population of city C is 12 times the population of city A.

Maths-

### The length of plant cell A is meter. The length of plant cell B is 0.000004 meter. How many times greater is plant cell A’s length than plant cell B’s length.

Complete step by step solution:

Length of plant A cell =

Length of plant B cell = 0.000004m

On dividing length of plant A by plant B, we have

(write both numerator and denominator as same powers of base 10)

On cancelling 10

Hence, the length of plant A cell is 20 times greater than the length of plant B cell.

Length of plant A cell =

Length of plant B cell = 0.000004m

On dividing length of plant A by plant B, we have

(write both numerator and denominator as same powers of base 10)

On cancelling 10

^{-6}on numerator and denominator, we haveHence, the length of plant A cell is 20 times greater than the length of plant B cell.

### The length of plant cell A is meter. The length of plant cell B is 0.000004 meter. How many times greater is plant cell A’s length than plant cell B’s length.

Maths-General

Complete step by step solution:

Length of plant A cell =

Length of plant B cell = 0.000004m

On dividing length of plant A by plant B, we have

(write both numerator and denominator as same powers of base 10)

On cancelling 10

Hence, the length of plant A cell is 20 times greater than the length of plant B cell.

Length of plant A cell =

Length of plant B cell = 0.000004m

On dividing length of plant A by plant B, we have

(write both numerator and denominator as same powers of base 10)

On cancelling 10

^{-6}on numerator and denominator, we haveHence, the length of plant A cell is 20 times greater than the length of plant B cell.

Maths-

### Krishan made 43,875 last year . use a single digit times a power of ten to express this value rounded to the nearest ten thousand.

Complete step by step solution:

Here the digit given is 43,875.

Check the number immediately right of the number in the ten thousandth place.

Here we have 3 in that position.

Since 3 < 5, we keep the number in ten thousands place the same and change all

of the numbers that follow, to zeros.

So here, we get 43875 rounded to the nearest 10000th is 40000.

This can be expressed as 4 10

Here the digit given is 43,875.

Check the number immediately right of the number in the ten thousandth place.

Here we have 3 in that position.

Since 3 < 5, we keep the number in ten thousands place the same and change all

of the numbers that follow, to zeros.

So here, we get 43875 rounded to the nearest 10000th is 40000.

This can be expressed as 4 10

^{4}### Krishan made 43,875 last year . use a single digit times a power of ten to express this value rounded to the nearest ten thousand.

Maths-General

Complete step by step solution:

Here the digit given is 43,875.

Check the number immediately right of the number in the ten thousandth place.

Here we have 3 in that position.

Since 3 < 5, we keep the number in ten thousands place the same and change all

of the numbers that follow, to zeros.

So here, we get 43875 rounded to the nearest 10000th is 40000.

This can be expressed as 4 10

Here the digit given is 43,875.

Check the number immediately right of the number in the ten thousandth place.

Here we have 3 in that position.

Since 3 < 5, we keep the number in ten thousands place the same and change all

of the numbers that follow, to zeros.

So here, we get 43875 rounded to the nearest 10000th is 40000.

This can be expressed as 4 10

^{4}Maths-

### Which is greater and

Complete step by step solution:

Here can be written as 0.000006

Because of the exponent of 10s term is negative, we must move the decimal 6

places to the left and

can be written as 0.00000002

Because of the exponent of 10s term is negative, we must move the decimal 8

places to the left.

Here it is clear that 0.000006 > 0.00000002

That is,

Here can be written as 0.000006

Because of the exponent of 10s term is negative, we must move the decimal 6

places to the left and

can be written as 0.00000002

Because of the exponent of 10s term is negative, we must move the decimal 8

places to the left.

Here it is clear that 0.000006 > 0.00000002

That is,

### Which is greater and

Maths-General

Complete step by step solution:

Here can be written as 0.000006

Because of the exponent of 10s term is negative, we must move the decimal 6

places to the left and

can be written as 0.00000002

Because of the exponent of 10s term is negative, we must move the decimal 8

places to the left.

Here it is clear that 0.000006 > 0.00000002

That is,

Here can be written as 0.000006

Because of the exponent of 10s term is negative, we must move the decimal 6

places to the left and

can be written as 0.00000002

Because of the exponent of 10s term is negative, we must move the decimal 8

places to the left.

Here it is clear that 0.000006 > 0.00000002

That is,

Maths-

### Estimate 0.037854921 to the nearest hundredth. Express your answer as a single digit times a power 10 ?

Complete step by step solution:

Here the digit at the thousandth place in the given decimal number is 7.

Since 7 > 5, we add 1 to the digit at the hundredth place and remove all the

digits right to it.

So here, we get 0.037854921 rounded to the nearest 100th is 0.04.

This can be expressed as 4 10

Here the digit at the thousandth place in the given decimal number is 7.

Since 7 > 5, we add 1 to the digit at the hundredth place and remove all the

digits right to it.

So here, we get 0.037854921 rounded to the nearest 100th is 0.04.

This can be expressed as 4 10

^{-2}### Estimate 0.037854921 to the nearest hundredth. Express your answer as a single digit times a power 10 ?

Maths-General

Complete step by step solution:

Here the digit at the thousandth place in the given decimal number is 7.

Since 7 > 5, we add 1 to the digit at the hundredth place and remove all the

digits right to it.

So here, we get 0.037854921 rounded to the nearest 100th is 0.04.

This can be expressed as 4 10

Here the digit at the thousandth place in the given decimal number is 7.

Since 7 > 5, we add 1 to the digit at the hundredth place and remove all the

digits right to it.

So here, we get 0.037854921 rounded to the nearest 100th is 0.04.

This can be expressed as 4 10

^{-2}Maths-

### Sita estimated 30490000000000 as 3 x 10^{8} , What error did she make ?

Complete step by step solution:

Here we have 30490000000000 as the number

We have 10 zeros after 3049,

hence we can write 30490000000000 as

Here we have 30490000000000 as the number

We have 10 zeros after 3049,

hence we can write 30490000000000 as

### Sita estimated 30490000000000 as 3 x 10^{8} , What error did she make ?

Maths-General

Complete step by step solution:

Here we have 30490000000000 as the number

We have 10 zeros after 3049,

hence we can write 30490000000000 as

Here we have 30490000000000 as the number

We have 10 zeros after 3049,

hence we can write 30490000000000 as

Maths-

### Write the standard form for

Complete step by step solution:

Here,

Because of the exponent of 10s term is negative, we must move the decimal 8

places to the left.

Here,

Because of the exponent of 10s term is negative, we must move the decimal 8

places to the left.

### Write the standard form for

Maths-General

Complete step by step solution:

Here,

Because of the exponent of 10s term is negative, we must move the decimal 8

places to the left.

Here,

Because of the exponent of 10s term is negative, we must move the decimal 8

places to the left.

Maths-

### Simplify by combining similar terms:

Complete step by step solution:

Here we can write, and

This can be written as

So,

Taking common term outside, we have

Here we can write, and

This can be written as

So,

Taking common term outside, we have

### Simplify by combining similar terms:

Maths-General

Complete step by step solution:

Here we can write, and

This can be written as

So,

Taking common term outside, we have

Here we can write, and

This can be written as

So,

Taking common term outside, we have

Maths-

### Evaluate

Complete step by step solution:

Let

∴ (Rationalising the denominator)

Now,

Squaring both sides, we get

Let

∴ (Rationalising the denominator)

Now,

Squaring both sides, we get

### Evaluate

Maths-General

Complete step by step solution:

Let

∴ (Rationalising the denominator)

Now,

Squaring both sides, we get

Let

∴ (Rationalising the denominator)

Now,

Squaring both sides, we get

Maths-

### Simplify 4√12+5√27 - 3√75 +√300

Complete step by step solution:

On prime factorization, we can write

and

This can be written as and respectively.

So,

On prime factorization, we can write

and

This can be written as and respectively.

So,

### Simplify 4√12+5√27 - 3√75 +√300

Maths-General

Complete step by step solution:

On prime factorization, we can write

and

This can be written as and respectively.

So,

On prime factorization, we can write

and

This can be written as and respectively.

So,

Maths-

### Simplify √45 - 3√20 +4√5

Complete step by step solution:

On prime factorization, we can write

This can be written as and respectively.

So,

On prime factorization, we can write

This can be written as and respectively.

So,

### Simplify √45 - 3√20 +4√5

Maths-General

Complete step by step solution:

On prime factorization, we can write

This can be written as and respectively.

So,

On prime factorization, we can write

This can be written as and respectively.

So,

Maths-

### Arrange in ascending order of magnitude and

Complete step by step solution:

Here we can write,

On taking the LCM of 2,3,6 we have LCM as 6.

So,

Likewise,

Likewise,

Now, we have and

So, here ascending order is 12 < 121 < 125

Here we can write,

On taking the LCM of 2,3,6 we have LCM as 6.

So,

Likewise,

Likewise,

Now, we have and

So, here ascending order is 12 < 121 < 125

### Arrange in ascending order of magnitude and

Maths-General

Complete step by step solution:

Here we can write,

On taking the LCM of 2,3,6 we have LCM as 6.

So,

Likewise,

Likewise,

Now, we have and

So, here ascending order is 12 < 121 < 125

Here we can write,

On taking the LCM of 2,3,6 we have LCM as 6.

So,

Likewise,

Likewise,

Now, we have and

So, here ascending order is 12 < 121 < 125

Maths-

### The Diagonals of a square ABCD meet at O. Prove that

Aim :- Prove that

Let length of side of square be a

Then ,applying using pythagoras theorem in triangle ADC

We get

As diagonals bisect each other AC = 2OA

where a =AB

We get

Hence proved

### The Diagonals of a square ABCD meet at O. Prove that

Maths-General

Aim :- Prove that

Let length of side of square be a

Then ,applying using pythagoras theorem in triangle ADC

We get

As diagonals bisect each other AC = 2OA

where a =AB

We get

Hence proved