Digit Solving - Ones Digit in Exponents (Large Base) - From Multiplication (Level 3)

This math topic involves practicing finding the ones digit of a product when large base numbers are raised to multiple exponents. The exercises focus on continuous multiplication of the same large number and deducing what the unit digit of the final product will be. This skill is essential for understanding patterns in the last digits of powers of numbers and is part of a broader study on digits and divisibility. The calculations challenge users to apply concepts of number patterns and modular arithmetic without performing full-scale multiplications.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Digit Solving - Ones Digit in Exponents (Large Base) - From Multiplication

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Find the ones digit when these numbers are multiplied

42×42×42×42×42×4242 \times 42 \times 42 \times 42 \times 42 \times 42

Digit Solving - Ones Digit in Exponents (Large Base) - From Multiplication Worksheet

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Math worksheet on 'Digit Solving - Ones Digit in Exponents (Large Base) - From Multiplication (Level 3)'. Part of a broader unit on 'Digits and Divisibility - Intro' Learn online: app.mobius.academy/math/units/digits_and_divisibility_intro/
1
Find the ones digit when these numbers are multiplied
A LaTex expression showing 78 multiplied by 78 multiplied by 78 multiplied by 78 multiplied by 78
a
3
b
1
c
9
d
8
e
6
f
2
2
Find the ones digit when these numbers are multiplied
A LaTex expression showing 58 multiplied by 58 multiplied by 58 multiplied by 58 multiplied by 58 multiplied by 58
a
1
b
8
c
6
d
4
e
2
f
9
3
Find the ones digit when these numbers are multiplied
A LaTex expression showing 52 multiplied by 52 multiplied by 52 multiplied by 52 multiplied by 52 multiplied by 52
a
2
b
8
c
0
d
5
e
1
f
4
4
A LaTex expression showing 75 multiplied by 75 multiplied by 75 multiplied by 75 multiplied by 75 multiplied by 75 multiplied by 75 multiplied by 75
Find the ones digit when these numbers are multiplied
a
5
b
8
c
9
d
7
e
0
f
1
5
A LaTex expression showing 63 multiplied by 63 multiplied by 63 multiplied by 63 multiplied by 63 multiplied by 63 multiplied by 63
Find the ones digit when these numbers are multiplied
a
3
b
1
c
8
d
7
e
2
f
4
6
A LaTex expression showing 24 multiplied by 24 multiplied by 24 multiplied by 24 multiplied by 24 multiplied by 24 multiplied by 24
Find the ones digit when these numbers are multiplied
a
4
b
7
c
1
d
3
e
5
f
8
7
Find the ones digit when these numbers are multiplied
A LaTex expression showing 42 multiplied by 42 multiplied by 42 multiplied by 42 multiplied by 42 multiplied by 42
a
5
b
7
c
3
d
6
e
1
f
4