Question

If the cube of any number is found, then which of the following can be the unit place digit?

a) 0
b) 1
c) 5
d) 6

Answer 1

A number's cube can only have the unit place digits 0, 1, 5, or 6. After cubing every digit from 0 to 9, only these digits appear as the unit digit in the results.

Step-by-step explanation:

To determine which of the following can be the unit place digit when the cube of any number is found, we consider cubing each unit digit (0-9). Let's investigate:

• 0 cubed is 0, so 0 can be a unit digit.
• 1 cubed is 1, so 1 can be a unit digit.
• 2 cubed is 8, which means 2 is not an option.
• 3 cubed is 27, which also rules out 3.
• 4 cubed is 64, elimanting 4 as well.
• 5 cubed is 125, so 5 can be a unit digit.
• 6 cubed is 216, so 6 can be a unit digit.
• 7, 8, and 9 cubed end in 3, 2, and 9 respectively, which are not options.

Thus, when the cube of any number is found, 0, 1, 5, and 6 can be the unit place digits. Therefore, the answers are a) 0, b) 1, c) 5, and d) 6.