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Comparing large factored numbers

This math skill involves comparing two large numbers expressed in factored form. By systematically canceling out common factors from each side, the remaining simpler expressions determine which original expression is larger.

Learn comparing large factored numbers

Teaching Transcript

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Which of these factored expressions is larger?

If we look at the 2 on each side, we can remove a 2 to the power of 6 from both sides

Likewise, we can remove a 5 to the power of 6 from each side

5 to the power of 1 is just 5, and so on, so we are left with 15 being greater than 14. Our left side is greater.

Skill Practice

Comparing large factored numbers

Test your understanding of comparing large factored numbers by practicing it! Work through the below exercises to use it in practice.