Question

Find the one’s digit of the cube of each of the following numbers. (i) 3331 (ii) 8888 (iii) 149 (iv) 1005 (v) 1024 (vi) 77 (vii) 5022​

Answer 1

Answer:

Here we are given a few numbers, and we have to find the last digit of the cube of that particular number. Here the last digit is the same as the one’s digit of any number. Here finding the last digit or one’s digit of the cube of a given number, is the same as cubing the last digit of that particular number, and the cube of the last digit of that number is the one’s digit of the cube.

Cube of a number a, is given by the exponent of 3, while the base is a.

⇒a3=A

Complete step-by-step solution:

Given the numbers and after finding the cube of the number we have to find the one’s digit of that cubed number.

i. First considering the number 3332

Here the last digit of 3332 is 2.

The cube of 2 is 8.

⇒23=8

Here the last digit of 23 is 8.

Hence the one’s digit of the cube of 3332 is 8.

ii. Now consider the second number 8888

Here the last digit of 8888 is 8.

The cube of 8 is 512.

⇒83=512

Step-by-step explanation:

I think it helps you

Answer 2

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i)First considering the number 3332

Here the last digit of 3332 is 2.

The cube of 2 is 8.

⇒2³=8

Here the last digit of 2³ is 8.

Hence the one’s digit of the cube of 3332 is 8.

ii) Now consider the second number 8888

Here the last digit of 8888 is 8.

The cube of 8 is 512.

⇒8³=512

Here the last digit of 8³ is 2.

Hence the one’s digit of the cube of 8888 is 2.

iii) Since the given number has 9 at units place, so the one's digit of the cube of 149 will be 9.

.iv)Now consider the next number 1005

Here the last digit of 1005 is 5.

The cube of 5 is 125.

⇒5³=125

Here the last digit of 5³ is 5.

Hence the one’s digit of the cube of 1005 is 5.

v) Now consider the next number 1024

Here the last digit of 1024 is 4.

The cube of 4 is 64.

⇒4³=64

Here the last digit of 4³is 4.

Hence the one’s digit of the cube of 1024 is 4.

vi) Now consider the next number 77

Here the last digit of 77 is 7.

The cube of 7 is 343.

⇒7³=343

Here the last digit of 7³ is 3.

Hence the one’s digit of the cube of 77 is 3.

vii) Now consider the next number 5022

Here the last digit of 5022 is 2.

The cube of 2 is 8.

⇒2³=8

Here the last digit of 2³ is 8.

Hence the one’s digit of the cube of 5022 is 8.