Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Convert into decimal and identify whether it is a non-terminating and repeating decimal or a terminating decimal: $6 over 24$

hint Hint:

Hint:
Numbers with a fixed or finite number of digits following the decimal point are known as terminating decimals and numbers with infinite decimal places are known as non-terminating decimals. Non-terminating decimals can be classified into two types: 1) Non-terminating and non-repeating decimals. 2) Non-terminating and Repeating decimals. Non-terminating and Repeating decimals are those decimals that consist of digits repeating after a fixed interval after the decimal.

The correct answer is: It is a Terminating decimal

Let’s say x = $6 over 24$
The given rational number is not in its simplified form. So, let’s first covert it in the simplified form
$x equals 1 fourth$
Upon dividing 1 by 4 we got
$x equals 1 fourth equals 0.25$
The resultant decimal is a terminating decimal
Final Answer:
As the resultant decimal has a finite number of digits following the decimal. Hence, the decimal value of $6 over 24$ is 0.25 and it is a terminating decimal.

Related Questions to study

In a school, $5 over 8$ 𝑡ℎ of the students are boys, if there are 240 girls, find the number of boys in the school?

In a school, $5 over 8$ 𝑡ℎ of the students are boys, if there are 240 girls, find the number of boys in the school?

If 24 pairs of trousers of equal size can be prepared with 54 m of cloth, what length of cloth is required for each pair of trousers?

If 24 pairs of trousers of equal size can be prepared with 54 m of cloth, what length of cloth is required for each pair of trousers?

Convert into decimal and identify whether it is a non-terminating and repeating decimal or a terminating decimal: $24 over 11$

Convert into decimal and identify whether it is a non-terminating and repeating decimal or a terminating decimal: $24 over 11$

parallel

By what rational number $fraction numerator negative 8 over denominator 39 end fraction$ should be multiplied to obtain $5 over 26$ ?

By what rational number $fraction numerator negative 8 over denominator 39 end fraction$ should be multiplied to obtain $5 over 26$ ?

By what rational number $fraction numerator negative 8 over denominator 39 end fraction$ should be multiplied to obtain $5 over 26$ ?

By what rational number $fraction numerator negative 8 over denominator 39 end fraction$ should be multiplied to obtain $5 over 26$ ?

Convert into decimal and identify whether it is a non-terminating and repeating decimal or a terminating decimal: $59 over 8$

Convert into decimal and identify whether it is a non-terminating and repeating decimal or a terminating decimal: $59 over 8$

parallel

A sim earns Rs. 40000 per month. He spends $2 over 5$ of his income on food, $5 over 12$ of the remaining on education of children and $3 over 7$ of the remainder on the house rent. How much money is still left with him?

A sim earns Rs. 40000 per month. He spends $2 over 5$ of his income on food, $5 over 12$ of the remaining on education of children and $3 over 7$ of the remainder on the house rent. How much money is still left with him?

Find the cost of 3 $2 over 5$ m of cloth at Rs 36 $3 over 4$ . per meter.

Find the cost of 3 $2 over 5$ m of cloth at Rs 36 $3 over 4$ . per meter.

Find the area of circular ring whose external and internal radii are 10cm and 3 cm respectively

Find the area of circular ring whose external and internal radii are 10cm and 3 cm respectively

parallel

The circumference of a circle is 123.2 cm. Calculate (i) the radius of the circle in cm. (ii) the area of the circle, correct to nearest cm²

The circumference of a circle is 123.2 cm. Calculate (i) the radius of the circle in cm. (ii) the area of the circle, correct to nearest cm²

The area enclosed by the circumference of two concentric circles is 364.5 cm². If the circumference of the inner circle is 88cm, calculate the radius of the outer circle.

The area enclosed by the circumference of two concentric circles is 364.5 cm². If the circumference of the inner circle is 88cm, calculate the radius of the outer circle.

A track is in the form of a ring whose inner circumference is 352 m, and the outer circumference is 396 m. Find the width of the track

A track is in the form of a ring whose inner circumference is 352 m, and the outer circumference is 396 m. Find the width of the track

parallel

The area of a circular ring is 352 m². If the diameter of its outer circle is 32 m, find the diameter of its inner circle.

The area of a circular ring is 352 m². If the diameter of its outer circle is 32 m, find the diameter of its inner circle.

The diameter of a circular park is 94.4 m. A 2.8 m wide road is constructed outside this circular park, i.e., around it. Find the cost of paving this road at the rate of Rs. 50 square meter

The diameter of a circular park is 94.4 m. A 2.8 m wide road is constructed outside this circular park, i.e., around it. Find the cost of paving this road at the rate of Rs. 50 square meter

The diameter of a circular park is 104 m. A road of width 3.5 m is on the outside around it. Find the cost of constructing the road at Rs. 15 per square meter.

The diameter of a circular park is 104 m. A road of width 3.5 m is on the outside around it. Find the cost of constructing the road at Rs. 15 per square meter.

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.