Interpret Multiplication as Scaling: CCSS.Math.Content.5.NF.B.5 - 5th Grade Math

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Question

Fill in the blank with the correct sign.

$\small 3$ __________ $\small \small 3\times\frac{3}{5}$

Answer

$\small 3$ $\small \small 3\times\frac{3}{5}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \frac{3}{1}\times\frac{3}{5}=\frac{9}{5}$

$\small \frac{9}{5}=1\frac{4}{5}$ Because can go into $\small 9$ only time, and $\small \small \frac{4}{5}$ is left over.

$\small 3$ $\small 1\frac{4}{9}$

$\small 3>1\frac{4}{9}$

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Question

Which of the two quantities is larger?

Quantity A: $4\times9\times7$

Quantity B: $3\times8\times7$

Hint: You do not need to perform the multiplication to find the answer!

Answer

No explanation available

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Question

Fill in the blank with the correct sign.

$\small 4$ __________ $\small \small 4\times\frac{1}{4}$

Answer

$\small 4$ $\small \small 4\times\frac{1}{4}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \frac{4}{1}\times\frac{1}{4}=\frac{4}{4}$

$\small \frac{4}{4}=1$

$\small 4$ $\small 1$

$\small 4>1$

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Question

Fill in the blank with the correct sign.

$\small 5\times \frac{1}{3}$ __________ $\small 5$

Answer

$\small 5\times \frac{1}{3}$ $\small 5$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{5}{1}\times\frac{1}{3}=\frac{5}{3}$

$\small \frac{5}{3}=1\frac{2}{3}$ Because can go into $\small 5$ only time, and $\small \frac{2}{3}$ is left over.

$\small 1\frac{2}{3}$ $\small 5$

$\small 1\frac{2}{3}<5$

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Question

Fill in the blank with the correct sign.

$\small 7\times\frac{3}{4}$ __________ $\small 7$

Answer

$\small 7\times\frac{3}{4}$ __________ $\small 7$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \frac{7}{1}\times\frac{3}{4}=\frac{21}{4}$

$\small \frac{21}{4}=5\frac{1}{4}$ Because $\small 4$ can go into $\small 21$ only $\small 5$ times and $\small \frac{1}{4}$ is left over.

$\small 5\frac{1}{4}<7$

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Question

Fill in the blank with the correct sign.

$\small 8$ __________ $\small 8\times\frac{1}{5}$

Answer

$\small 8$ __________ $\small 8\times\frac{1}{5}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{8}{1}\times\frac{1}{5}=\frac{8}{5}$

$\small \frac{8}{5}=1\frac{3}{5}$ Because $\small 5$ can go into $\small 8$ only $\small 1$ time and $\small \frac{3}{5}$ is left over.

$\small 8>1\frac{3}{5}$

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Question

Fill in the blank with the correct sign.

$\small 2\times\frac{1}{2}$ __________

Answer

$\small 2\times\frac{1}{2}$ __________

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{2}{1}\times\frac{1}{2}=\frac{2}{2}$

$\small \frac{2}{2}=1$ Because can go into an even $\small 1$ time.

$\small 1<2$

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Question

Fill in the blank with the correct sign.

$\small 9$ __________ $\small \small 9\times\frac{2}{3}$

Answer

$\small 9$ __________ $\small \small 9\times\frac{2}{3}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{9}{1}\times\frac{2}{3}=\frac{18}{3}$

$\small \frac{18}{3}=6$ Because can go into $\small 18$ and even times.

$\small 9>6$

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Question

Fill in the blank with the correct sign.

$\small 4\times\frac{2}{9}$ __________

Answer

$\small 4\times\frac{2}{9}$ __________

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{4}{1}\times\frac{2}{9}=\frac{8}{9}$

$\small \frac{8}{9}<4$

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Question

Fill in the blank with the correct sign.

__________ $\small 5\times\frac{3}{4}$

Answer

__________ $\small 5\times\frac{3}{4}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{5}{1}\times\frac{3}{4}=\frac{15}{4}$

$\small \frac{15}{4}=3\frac{2}{4}$ Because $\small 4$ can go into $\small 15$ only $\small 3$ times and $\small \frac{2}{4}$ is left over

$\small 5>3\frac{2}{4}$

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Question

Fill in the blank with the correct sign.

$\small 4\times\frac{1}{9}$ __________ $\small 4$

Answer

$\small 4\times\frac{1}{9}$ __________ $\small 4$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{4}{1}\times\frac{1}{9}=\frac{4}{9}$

$\small \frac{4}{9}<4$

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Question

Fill in the blank with the correct sign.

$\small 8$ __________ $\small 8\times\frac{1}3{}$

Answer

$\small 8$ __________ $\small 8\times\frac{1}3{}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{8}{1}\times\frac{1}{3}=\frac{8}{3}$

$\small \frac{8}{3}=2\frac{2}3{}$ Because $\small 3$ can go into $\small 8$ only $\small 2$ times and $\small \frac{2}{3}$ is left over

$\small 8>2\frac{2}3{}$

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Question

Fill in the blank with the correct sign.

$\small 12\times\frac{3}{4}$ ____________ $\small 12$

Answer

$\small 12\times\frac{3}{4}$ ____________ $\small 12$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{12}{1}\times\frac{3}{4}=\frac{36}{4}$

$\small \frac{36}{4}=9$ Because can go into an even times

$\small 9<12$

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Question

Which of the two quantities is larger?

Quantity A: $4\times9\times7$

Quantity B: $3\times8\times7$

Hint: You do not need to perform the multiplication to find the answer!

Answer

No explanation available

Compare your answer with the correct one above

Question

Fill in the blank with the correct sign.

$\small 4$ __________ $\small \small 4\times\frac{1}{4}$

Answer

$\small 4$ $\small \small 4\times\frac{1}{4}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \frac{4}{1}\times\frac{1}{4}=\frac{4}{4}$

$\small \frac{4}{4}=1$

$\small 4$ $\small 1$

$\small 4>1$

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Question

Fill in the blank with the correct sign.

$\small 5\times \frac{1}{3}$ __________ $\small 5$

Answer

$\small 5\times \frac{1}{3}$ $\small 5$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{5}{1}\times\frac{1}{3}=\frac{5}{3}$

$\small \frac{5}{3}=1\frac{2}{3}$ Because can go into $\small 5$ only time, and $\small \frac{2}{3}$ is left over.

$\small 1\frac{2}{3}$ $\small 5$

$\small 1\frac{2}{3}<5$

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Question

Fill in the blank with the correct sign.

$\small 3$ __________ $\small \small 3\times\frac{3}{5}$

Answer

$\small 3$ $\small \small 3\times\frac{3}{5}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \frac{3}{1}\times\frac{3}{5}=\frac{9}{5}$

$\small \frac{9}{5}=1\frac{4}{5}$ Because can go into $\small 9$ only time, and $\small \small \frac{4}{5}$ is left over.

$\small 3$ $\small 1\frac{4}{9}$

$\small 3>1\frac{4}{9}$

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Question

Fill in the blank with the correct sign.

$\small 7\times\frac{3}{4}$ __________ $\small 7$

Answer

$\small 7\times\frac{3}{4}$ __________ $\small 7$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \frac{7}{1}\times\frac{3}{4}=\frac{21}{4}$

$\small \frac{21}{4}=5\frac{1}{4}$ Because $\small 4$ can go into $\small 21$ only $\small 5$ times and $\small \frac{1}{4}$ is left over.

$\small 5\frac{1}{4}<7$

Compare your answer with the correct one above

Question

Fill in the blank with the correct sign.

$\small 8$ __________ $\small 8\times\frac{1}{5}$

Answer

$\small 8$ __________ $\small 8\times\frac{1}{5}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{8}{1}\times\frac{1}{5}=\frac{8}{5}$

$\small \frac{8}{5}=1\frac{3}{5}$ Because $\small 5$ can go into $\small 8$ only $\small 1$ time and $\small \frac{3}{5}$ is left over.

$\small 8>1\frac{3}{5}$

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Question

Fill in the blank with the correct sign.

$\small 2\times\frac{1}{2}$ __________

Answer

$\small 2\times\frac{1}{2}$ __________

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{2}{1}\times\frac{1}{2}=\frac{2}{2}$

$\small \frac{2}{2}=1$ Because can go into an even $\small 1$ time.

$\small 1<2$

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