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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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the ones digit when these numbers are multiplied

83×83×83×83×8383 \times 83 \times 83 \times 83 \times 83

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
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
1
b
7
c
4
d
5
e
8
f
3
2
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
0
b
7
c
5
d
8
e
9
f
1
3
A LaTex expression showing 72 multiplied by 72 multiplied by 72 multiplied by 72 multiplied by 72 multiplied by 72 multiplied by 72
Find the ones digit when these numbers are multiplied
a
2
b
5
c
8
d
0
e
3
f
4
4
Find the ones digit when these numbers are multiplied
A LaTex expression showing 83 multiplied by 83 multiplied by 83 multiplied by 83 multiplied by 83
a
4
b
5
c
2
d
7
e
3
f
1
5
Find the ones digit when these numbers are multiplied
A LaTex expression showing 31 multiplied by 31 multiplied by 31 multiplied by 31 multiplied by 31
a
8
b
3
c
6
d
2
e
5
f
1
6
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
3
b
4
c
1
d
7
e
5
f
6
7
A LaTex expression showing 27 multiplied by 27 multiplied by 27 multiplied by 27 multiplied by 27 multiplied by 27 multiplied by 27
Find the ones digit when these numbers are multiplied
a
8
b
3
c
6
d
7
e
5
f
9