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

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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.

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

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.

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

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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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