This math topic focuses on calculating the ones digit of a product involving large exponent values. Specifically, it involves multiplying numbers raised to large, different exponents and then identifying the ones digit of the result. The problems are structured to enhance the learners’ understanding of patterns in last digits when numbers are raised to powers, an essential skill that combines elements of number theory and modular arithmetic. Additionally, this area is a part of a broader unit on digits and divisibility.

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Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Large) Worksheet

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Math worksheet on 'Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Large) (Level 3)'. Part of a broader unit on 'Patterns and Sums - Advanced' Learn online: app.mobius.academy/math/units/patterns_and_sums_advanced/
1
Find the ones digit of this number once multiplied
A LaTex expression showing 8 to the power of 50 times 3 to the power of 49
a
2
b
3
c
7
d
0
e
5
f
1
2
Find the ones digit of this number once multiplied
A LaTex expression showing 7 to the power of 56 times 8 to the power of 57
a
4
b
3
c
5
d
8
e
2
f
6
3
Find the ones digit of this number once multiplied
A LaTex expression showing 3 to the power of 60 times 7 to the power of 59
a
6
b
2
c
4
d
1
e
7
f
3
4
Find the ones digit of this number once multiplied
A LaTex expression showing 8 to the power of 81 times 7 to the power of 80
a
3
b
2
c
1
d
8
e
6
f
7
5
Find the ones digit of this number once multiplied
A LaTex expression showing 8 to the power of 36 times 7 to the power of 37
a
3
b
0
c
5
d
4
e
2
f
1
6
Find the ones digit of this number once multiplied
A LaTex expression showing 2 to the power of 33 times 3 to the power of 34
a
5
b
4
c
1
d
7
e
8
f
3
7
Find the ones digit of this number once multiplied
A LaTex expression showing 7 to the power of 78 times 8 to the power of 79
a
8
b
4
c
3
d
0
e
2
f
1
Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Large) (Level 3) - Mobius Math Academy