Explain in your own words how multiplying a number by a fraction between 0 and 1 affects the size of the original number.

Multiplying a number by a fraction between 0 and 1 scales the number down, making it smaller.

How does multiplying a number by a fraction greater than 1 affect the size of the original number?

Multiplying a number by a fraction greater than 1 scales the number up, making it larger.

No, the size of the number does not change because multiplying by 1 is the same as taking 100% of the number, leaving it unchanged.

The result will be smaller than x.

(3/2) * (5/7) has the greatest value because 3/2 is greater than 1, so it scales 5/7 up, while 7/7 equals 1 and 2/3 is less than 1, scaling 5/7 down.

Grade 10th Grade · Math · 45 min· 5.nf.b.5

I can explain how multiplying a number by a fraction or a whole number changes its size.

Khan Academy · 5:06

Seeing multiplication as scaling with fractions | Fractions | Pre-Algebra | Khan Academy

3 key concepts

10 questions · Multiple choice & Short answer

Quick comprehension check

“Without calculating, order these expressions from least to greatest: 4/5 × 3/4, 6/6 × 3/4, 8/7 × 3/4. Explain your reasoning.”

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