The decimal expansion of the rational number 33/ 2².5 will terminate after
a. One decimal place
b. Two decimal places
c. Three decimal places
d. More than 3 decimal places

Solution:

Decimals are a set of numbers written together with a dot in between them that is called a decimal point.

The numbers to the left of the decimal point are the integers or whole numbers and the numbers to the right of the decimal point are called decimal numbers.

Given, 33/ 2².5

= 33/ 2².5

= 33/4 . 5

= 33/20

= 1.65

Therefore, the answer is b. two decimal places

✦ Try This: The decimal expansion of the rational number 23/ 2³.5² will terminate after

a. one decimal place b. two decimal places c. three decimal places d. more than 3 decimal places

Given, 23/ 2³5²

= 23/ 8 × 25

= 23/200

= 0.115

Therefore, the answer is b. two decimal places

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 1

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NCERT Exemplar Class 10 Maths Exercise 1.1 Sample Problem 1

The decimal expansion of the rational number 33/ 2².5 will terminate after, a. one decimal place, b. two decimal places, c. three decimal places, d. more than 3 decimal places

Summary:

The decimal expansion of the rational number 33/ 2².5 will terminate after two decimal places

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☛ Related Questions:

• Euclid’s division lemma states that for two positive integers a and b, there exist unique integers q . . . .
• For some integer m, every even integer is of the form a. m, b. m + 1, c. 2m, d. 2m + 1
• For some integer q, every odd integer is of the form a. q, b. q + 1, c. 2q, d. 2q + 1