5th Grade Math - Explain Products of Multiplication with Fractions: CCSS.Math.Content.5.NF.B.5b

Fill in the blank with the correct symbol.

____________ $8\times\frac{3}{5}$

Explanation

Without doing any of the computations, we can determine that

$8>8\times\frac{3}{5}$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

Fill in the blank with the correct symbol.

$10\times\frac{1}{10}$ ____________

Explanation

Without doing any of the computations, we can determine that

$10\times\frac{1}{10}<10$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

Fill in the blank with the correct symbol.

$11\times\frac{7}{3}$ ____________ $11\times\frac{1}{3}$

Explanation

Without doing any of the computations, we can determine that

$11\times\frac{7}{3}>11\times\frac{1}{3}$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

Fill in the blank with the correct symbol.

$13\times\frac{1}{5}$ ____________ $13\times\frac{7}{5}$

Explanation

Without doing any of the computations, we can determine that

$13\times\frac{1}{5}<13\times\frac{7}{5}$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

Fill in the blank with the correct symbol.

$15\times\frac{14}{4}$ ____________ $15\times\frac{1}{4}$

Explanation

Without doing any of the computations, we can determine that

$15\times\frac{14}{4}>15\times\frac{1}{4}$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

Fill in the blank with the correct symbol.

____________ $21\times\frac{1}{9}$

Explanation

Without doing any of the computations, we can determine that

$21>21\times\frac{1}{9}$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

Fill in the blank with the correct symbol.

$12\times\frac{1}{4}$ ____________

Explanation

Without doing any of the computations, we can determine that

$12\times\frac{1}{4}<12$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

Fill in the blank with the correct symbol.

$9\times\frac{3}{3}$ ____________ $9\times\frac{1}{3}$

Explanation

Without doing any of the computations, we can determine that

$9\times\frac{3}{3}>9\times\frac{1}{3}$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

Fill in the blank with the correct symbol.

____________ $42\times\frac{4}{5}$

Explanation

Without doing any of the computations, we can determine that

$42>42\times\frac{4}{5}$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

Fill in the blank with the correct symbol.

$111\times\frac{2}{10}$ ____________

Explanation

Without doing any of the computations, we can determine that

$111\times\frac{2}{10}<111$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

Explain Products of Multiplication with Fractions: CCSS.Math.Content.5.NF.B.5b

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