Preview Activity

Skip to main content

\usepackage c a n c e l

Worksheet Preview Activity
A4 US

1.

Suppose that

6^{472}

had a 2 for its unit digit. That is, suppose

6^{472} = 19, 381, 6 \dots \dots 2 .

What would the unit digit of

6^{473}

be?

Hint.

6^{473} = 6 \cdot 6^{472} .

2.

What is the unit digit of

6^{2},

of

6^{3},

and of

6^{4} ?

The unit’s digit of

6^{2}

is .

The unit’s digit of

6^{3}

is .

The unit’s digit of

6^{4}

is .

3.

Which of the following are true? Select all that apply.

If the unit’s digit of $6^{k}$ is a 6, then the unit’s digit of $6^{k + 1}$ is a 6.
🔗
If the unit’s digit of $6^{k}$ is a 2, then the unit’s digit of $6^{k + 1}$ is a 2.
🔗
The unit’s digit of $6^{472}$ is a 2.
🔗
The unit’s digit of $6^{472}$ is a 6.
🔗

4.

Explain your answer to the previous question.