
Understanding Congruence and Powers of Two

Interactive Video
•
Mathematics, Science
•
7th - 10th Grade
•
Hard

Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical concept is used to find the remainder when 2^124 is divided by 7?
Congruence
Factorization
Differentiation
Integration
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is 2^1 congruent to modulo 7?
1
2
3
4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the remainder when 2^3 is divided by 7?
2
3
1
0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can every factor of 2^3 in 2^124 be replaced with 1?
Because 2^3 is congruent to 0 mod 7
Because 2^3 is congruent to 1 mod 7
Because 2^3 is congruent to 2 mod 7
Because 2^3 is congruent to 3 mod 7
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can 2^124 be expressed using factors of 2^3?
2^3 raised to the power of 43
2^3 raised to the power of 40
2^3 raised to the power of 42
2^3 raised to the power of 41
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which property of exponents is used to express 2^124 in terms of 2^3?
a^0 = 1
(a^m)^n = a^(m*n)
a^m / a^n = a^(m-n)
a^m * a^n = a^(m+n)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the quotient when 124 is divided by 3?
41
43
42
40
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