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Factoring - Comparing Factored Numbers - 2 Factors (Level 1)

This math topic focuses on enhancing skills in factoring and comparing factored numbers with two factors. Learners practice choosing the correct comparison operator (less than, greater than, or equal to) between various expressions involving powers of integers. This foundational concept integrates elements of multiplication, division, and fractions to solidify understanding of algebraic manipulation and comparison.

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

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Comparing Factored Numbers - 2 Factors

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


Choose the correct comparison operator

53⋅23⋅31    ◯    53⋅23⋅71<,>,or=?5^{3}\cdot2^{3}\cdot3^{1}\;\; \bigcirc \;\;5^{3}\cdot2^{3}\cdot7^{1}\\<, >, or = ?

Factoring - Comparing Factored Numbers - 2 Factors Worksheet

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Math worksheet on 'Factoring - Comparing Factored Numbers - 2 Factors (Level 1)'. Part of a broader unit on 'Factoring, Multiplication, Division, Fractions - Practice' Learn online: app.mobius.academy/math/units/factoring_multiplication_division_fractions_practice/
1
Choose the correct comparison operator
A LaTex expression showing 7 to the power of 4 times 2 to the power of 3 \;\; \bigcirc \;\;7 to the power of 3 times 2 to the power of 4 \\<, >, or = ?
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b
>
c
=
2
Choose the correct comparison operator
A LaTex expression showing 2 to the power of 3 times 3 to the power of 3 times 5 to the power of 1 \;\; \bigcirc \;\;2 to the power of 3 times 3 to the power of 3 times 7 to the power of 1 \\<, >, or = ?
a
<
b
>
c
=
3
Choose the correct comparison operator
A LaTex expression showing 2 to the power of 3 times 7 to the power of 3 times 5 to the power of 1 \;\; \bigcirc \;\;2 to the power of 3 times 7 to the power of 4 \\<, >, or = ?
a
<
b
>
c
=
4
Choose the correct comparison operator
A LaTex expression showing 2 to the power of 3 times 7 to the power of 3 times 5 to the power of 1 \;\; \bigcirc \;\;2 to the power of 3 times 7 to the power of 3 times 5 to the power of 1 \\<, >, or = ?
a
<
b
>
c
=
5
Choose the correct comparison operator
A LaTex expression showing 3 to the power of 4 times 5 to the power of 3 \;\; \bigcirc \;\;3 to the power of 3 times 5 to the power of 4 \\<, >, or = ?
a
<
b
>
c
=
6
Choose the correct comparison operator
A LaTex expression showing 7 to the power of 3 times 3 to the power of 4 \;\; \bigcirc \;\;7 to the power of 3 times 3 to the power of 3 times 5 to the power of 1 \\<, >, or = ?
a
<
b
>
c
=
7
Choose the correct comparison operator
A LaTex expression showing 3 to the power of 4 times 5 to the power of 1 \;\; \bigcirc \;\;3 to the power of 4 times 5 to the power of 1 \\<, >, or = ?
a
<
b
>
c
=