Find out the decimal representation of 3 8 and state whether it is terminating or non-terminating.

We have to express 3 8 in decimal form. By long division method we have: 0 . 375 8 3 0 30 24 60 56 40 40 0 Therefore 3 8 = 0 . 375 We observe that there are only finite number of digits in the decimal part of this decimal number. Such decimals are known as terminating decimals. Hence, 3 8 = 0 . 375

Find out the decimal representation of 15 4 and state whether it is terminating or non-terminating.

We have to express 15 4 in decimal form. By long division method we have: 3 . 75 4 15 12 30 28 20 20 0 Therefore 15 4 = 3 . 75 We observe that there are only finite number of digits in the decimal part of this decimal number. Such decimals are known as terminating decimals. Hence, 15 4 = 3 . 75

Find out the decimal representation of 1 6 and state whether it is terminating or non-terminating.

We have to express 1 6 in decimal form. By long division method we have: 0 . 166 6 1 0 10 6 40 36 40 36 40 Therefore 1 6 = 0 . 166 . . . We observe that there digits keep on continuing after decimal point in the decimal part of this decimal number. Such decimals are known as non-terminating decimals. Hence, 1 6 = 0 . 166 . . .

Find out the decimal representation of 1 7 and state whether it is terminating or non-terminating.

We have to express 1 7 in decimal form. By long division method we have: 0 . 14285714 7 1 0 10 7 30 28 20 14 /td> 60 56 40 35 50 49 10 7 30 28 2 Therefore 1 7 = 0 . 14285714 . . . We observe that there digits keep on continuing after decimal point in the decimal part of this decimal number. Such decimals are known as non-terminating decimals. Hence, 1 7 = 0 . 14285714 . . .

Find out the decimal representation of 2 9 and state whether it is terminating or non-terminating.

We have to express 2 9 in decimal form. By long division method we have: 0 . 222 9 2 0 20 18 20 18 20 18 2 Therefore, 2 9 = 0 . 222 . . . We observe that there digits keep on continuing after decimal point in the decimal part of this decimal number. Such decimals are known as non-terminating decimals. Hence, 2 9 = 0 . 222 . . .

Find the decimal representation of 5 2 , 24 25 , 3 10 , 21 8 , check weather each is terminating or non-terminating?

Given numbers are 5 2 , 24 25 , 3 10 , 21 8 . ⇒ 5 2 × 5 5 = 25 10 = 2 . 5 So, 5 2 is a terminating decimal. ⇒ 24 25 = 24 25 × 4 4 = 96 100 = 0 . 96 So, 24 25 is a terminating decimal. ⇒ 3 10 = 0 . 3 , it is a terminating decimal. ⇒ 21 8 = 21 8 × 12 . 5 12 . 5 = 262 . 5 100 = 2 . 625 So, it is a terminating decimal.

E M B I B E

Mathematics Class - VII>Chapter 11 - Decimal Representation of Rational Numbers and Operations>Exercise 2

Chhattisgarh Board Solutions for Chapter: Decimal Representation of Rational Numbers and Operations, Exercise 2: Exercise 2

Author:Chhattisgarh Board

Chhattisgarh Board Mathematics Solutions for Exercise - Chhattisgarh Board Solutions for Chapter: Decimal Representation of Rational Numbers and Operations, Exercise 2: Exercise 2

Attempt the practice questions on Chapter 11: Decimal Representation of Rational Numbers and Operations, Exercise 2: Exercise 2 with hints and solutions to strengthen your understanding. Mathematics Class - VII solutions are prepared by Experienced Embibe Experts.