Factoring - Comparing Factored Numbers - 3 Factors (Level 1)

This math topic focuses on practicing factoring skills, specifically comparing the results of numbers expressed as products of their prime factors raised to various powers. Each problem requires students to determine if one expression is less than, greater than, or equal to another. This involves recognizing and applying the properties of exponents and their respective magnitudes to assess the equality or inequality between two expressions with three factors. The skills reinforced include factoring, use of exponents, and comparative reasoning with multiplicative expressions.

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

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Comparing Factored Numbers - 3 Factors

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

Choose the correct comparison operator

2^{4}\cdot7^{3}\cdot3^{3}\;\; \bigcirc \;\;2^{4}\cdot7^{3}\cdot3^{3}\\<, >, or = ?

Factoring - Comparing Factored Numbers - 3 Factors Worksheet

Math worksheet on 'Factoring - Comparing Factored Numbers - 3 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/

Choose the correct comparison operator

$A LaTex expression showing 7 to the power of 4 times 5 to the power of 4 \;\; \bigcirc \;\;7 to the power of 4 times 5 to the power of 4 \\<, >, or = ?$

Choose the correct comparison operator

$A LaTex expression showing 3 to the power of 3 times 5 to the power of 3 times 7 to the power of 4 \;\; \bigcirc \;\;3 to the power of 4 times 5 to the power of 3 times 7 to the power of 3 \\<, >, or = ?$

Choose the correct comparison operator

$A LaTex expression showing 5 to the power of 5 times 2 to the power of 3 \;\; \bigcirc \;\;5 to the power of 4 times 2 to the power of 4 \\<, >, or = ?$

Choose the correct comparison operator

$A LaTex expression showing 7 to the power of 4 times 5 to the power of 4 \;\; \bigcirc \;\;7 to the power of 3 times 5 to the power of 4 times 3 to the power of 1 \\<, >, or = ?$

Choose the correct comparison operator

$A LaTex expression showing 2 to the power of 3 times 7 to the power of 3 times 3 to the power of 4 \;\; \bigcirc \;\;2 to the power of 3 times 7 to the power of 3 times 3 to the power of 4 \\<, >, or = ?$

Choose the correct comparison operator

$A LaTex expression showing 5 to the power of 5 times 7 to the power of 3 \;\; \bigcirc \;\;5 to the power of 4 times 7 to the power of 4 \\<, >, or = ?$

Choose the correct comparison operator

$A LaTex expression showing 2 to the power of 3 times 3 to the power of 5 \;\; \bigcirc \;\;2 to the power of 3 times 3 to the power of 5 \\<, >, or = ?$

Factoring - Comparing Factored Numbers - 3 Factors (Level 1)

Practice:

Comparing Factored Numbers - 3 Factors

Factoring - Comparing Factored Numbers - 3 Factors Worksheet