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Factoring - Comparing Factored Numbers - 2 Factors (Level 3)

This math topic focuses on comparing factored numbers with exponents, specifically working with instances where two factored numbers are given and the learner must determine their relational value using comparison operators: less than, greater than, or equal to. This involves applying skills related to factoring, multiplication, division, and understanding of exponential numbers. Each problem requires evaluating expressions with exponential terms, reflecting their mastery in a deeper factoring context. The challenge adds an analytical layer, promoting critical thinking skills in interpreting and comparing complex mathematical expressions.

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

59⋅39⋅22    ◯    510⋅310<,>,or=?5^{9}\cdot3^{9}\cdot2^{2}\;\; \bigcirc \;\;5^{10}\cdot3^{10}\\<, >, or = ?

Factoring - Comparing Factored Numbers - 2 Factors Worksheet

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Math worksheet on 'Factoring - Comparing Factored Numbers - 2 Factors (Level 3)'. 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 9 times 5 to the power of 10 times 2 to the power of 1 \;\; \bigcirc \;\;7 to the power of 9 times 5 to the power of 9 times 2 to the power of 1 times 3 to the power of 1 \\<, >, or = ?
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2
Choose the correct comparison operator
A LaTex expression showing 2 to the power of 10 times 3 to the power of 9 times 5 to the power of 1 \;\; \bigcirc \;\;2 to the power of 9 times 3 to the power of 9 times 5 to the power of 2 \\<, >, or = ?
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3
Choose the correct comparison operator
A LaTex expression showing 3 to the power of 10 times 2 to the power of 10 \;\; \bigcirc \;\;3 to the power of 10 times 2 to the power of 10 \\<, >, or = ?
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4
Choose the correct comparison operator
A LaTex expression showing 7 to the power of 10 times 3 to the power of 10 \;\; \bigcirc \;\;7 to the power of 10 times 3 to the power of 9 times 5 to the power of 1 \\<, >, or = ?
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5
Choose the correct comparison operator
A LaTex expression showing 7 to the power of 9 times 3 to the power of 11 \;\; \bigcirc \;\;7 to the power of 9 times 3 to the power of 10 times 5 to the power of 1 \\<, >, or = ?
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6
Choose the correct comparison operator
A LaTex expression showing 5 to the power of 9 times 7 to the power of 10 times 2 to the power of 1 \;\; \bigcirc \;\;5 to the power of 10 times 7 to the power of 9 times 2 to the power of 1 \\<, >, or = ?
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7
Choose the correct comparison operator
A LaTex expression showing 7 to the power of 10 times 5 to the power of 9 times 3 to the power of 1 \;\; \bigcirc \;\;7 to the power of 10 times 5 to the power of 9 times 3 to the power of 1 \\<, >, or = ?
a
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b
>
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