Consider a number n that is positioned to the left of 0 on the number line, where the square of n is less than 1/64. What can be said about the reciprocal of n?

Correct answer marked below

Less than -8

Correct

Between -1 and -1/8

Between -1/8 and 0

Between 0 and 1/8

Greater than 8

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Explanation

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Official Explanation

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If n is a number to the left of 0 on the number line and its square is less than 1/64, we can express this as

n^2 < \frac{1}{64}

. Taking the square root gives us [m]|n| <…

Comments

micheleFeb 11, 2025

Thankss

liaJun 1, 2024

Thankss

PrashantApr 24, 2024

Can you explain more?

What this question tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.