Predicting the ones digit, copy and complete this table and answer the questions that follow.

(a) Describe patterns you see in the ones digits of the powers.
(b) Predict the ones digit in the following: 1. 4¹² 2. 9²⁰ 3. 3¹⁷ 4. 5¹⁰⁰ 5. 10⁵⁰⁰
(c) Predict the ones digit in the following: 1. 31¹⁰ 2. 12¹⁰ 3. 17²¹ 4. 29¹⁰

Solution:

(a) We have to determine the pattern in the ones digits of the powers

 (b) We have to find the ones digit in the following.

1. Ones digit in 4¹² is 6

2. Ones digit in 9²⁰ is 1

3. Ones digit in 3¹⁷ is 3

4. Ones digit in 5¹⁰⁰ is 5

5. Ones digit in 10⁵⁰⁰ is 0

(c) We have to find the ones digit in the following.

1. Ones digit in 31¹⁰ is 1

2. Ones digit in 12¹⁰ is 4

3. Ones digit in 17²¹ is 7

4. Ones digit in 29¹⁰ is 1

✦ Try This: Express 14 billion litres of liquid in standard form.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 128

Predicting the ones digit, copy and complete this table and answer the questions that follow. (a) Describe patterns you see in the ones digits of the powers, (b) Predict the ones digit in the following: 1. 4¹² 2. 9²⁰ 3. 3¹⁷ 4. 5¹⁰⁰ 5. 10⁵⁰⁰, (c) Predict the ones digit in the following: 1. 31¹⁰ 2. 12¹⁰ 3. 17²¹ 4. 29¹⁰

Summary:

(a) The patterns in the ones digits of the powers is given above, (b) Ones digit in the following: 1. 4¹² is 6 2. 9²⁰ is 1 3. 3¹⁷ is 3 4. 5¹⁰⁰ is 5 5. 10⁵⁰⁰ is 0, (c) Ones digit in the following: 1. 31¹⁰ is 1 2. 12¹⁰ is 4 3. 17²¹ is 7 4. 29¹⁰ is 1

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