Question

write all the digits that would appear as the last digit of their respective cubes

Answer 1

Hey There!!



Let us first find the cubes of first ten numbers. We will have all required info then.


$1^3 = 1 \\ \\ 2^3 = 8 \\ \\ 3^3 = 27 \\ \\ 4^3 = 64 \\ \\ 5^3 = 125 \\ \\ 6^3 = 216 \\ \\ 7^3 = 343 \\ \\ 8^3 = 512 \\ \\ 9^3 = 729 \\ \\ 10^3 = 1000$


Thus, we can see a few things:

When 

Unit's Digit is 1 -> Unit's Digit of Cube is 1

Unit's Digit is 2 -> Unit's Digit of Cube is 8

Unit's Digit is 3 -> Unit's Digit of Cube is 7

Unit's Digit is 4 -> Unit's Digit of Cube is 4

Unit's Digit is 5 -> Unit's Digit of Cube is 5

Unit's Digit is 6 -> Unit's Digit of Cube is 6

Unit's Digit is 7 -> Unit's Digit of Cube is 3

Unit's Digit is 8 -> Unit's Digit of Cube is 2

Unit's Digit is 9 -> Unit's Digit of Cube is 9

Unit's Digit is 0 -> Unit's Digit of Cube is 0



Hope it helps
Purva
Brainly Community

Answer 2

All the digits that would appear as the last digit of their respective cubes are 0,1,8,7,4,5,6,3,2,9.

Given:

All cube numbers

To find:

all the digits that would appear as the last digit of their respective cubes

Solution:

0³ = 0

So, cube of any digit ending with 0 will have its unit digit as 0.

1³ = 1

So, cube of any digit ending with 1 will have its unit digit as 1.

2³ = 8

So, cube of any digit ending with 2 will have its unit digit as 8.

3³ = 27

So, cube of any digit ending with 3 will have its unit digit as 7.

4³ = 64

So, cube of any digit ending with 4 will have its unit digit as 4.

5³ = 125

So, cube of any digit ending with 5 will have its unit digit as 5.

6³ = 216

So, cube of any digit ending with 6 will have its unit digit as 6.

7³ = 343

So, cube of any digit ending with 7 will have its unit digit as 3.

8³ = 512

So, cube of any digit ending with 8 will have its unit digit as 2.

9³ = 729

So, cube of any digit ending with 9 will have its unit digit as 9.

All the digits that would appear as the last digit of their respective cubes are 0,1,8,7,4,5,6,3,2,9.

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