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

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All Common Core: 5th Grade Math Resources

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Example Questions

Example Question #11 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Fill in the blank with the correct sign.

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

Possible Answers:

$\small =$ $\displaystyle \small =$

$\displaystyle < $

$\small >$ $\displaystyle \small >$

Correct answer:

$\displaystyle < $

Explanation:

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

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 $\small 1.$ $\displaystyle \small 1.$ Then we multiply like normal.

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

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

$\small 9<12$ $\displaystyle \small 9< 12$

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Example Question #12 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Fill in the blank with the correct sign.

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

Possible Answers:

$\small <$ $\displaystyle \small < $

$\small =$ $\displaystyle \small =$

$\small >$ $\displaystyle \small >$

Correct answer:

$\small >$ $\displaystyle \small >$

Explanation:

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

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 $\displaystyle 1.$ Then we multiply like normal.

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

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

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

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

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Example Question #12 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Fill in the blank with the correct sign.

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

Possible Answers:

$\small =$ $\displaystyle \small =$

$\small <$ $\displaystyle \small < $

$\small >$ $\displaystyle \small >$

Correct answer:

$\small >$ $\displaystyle \small >$

Explanation:

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

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 $\displaystyle 1.$ Then we multiply like normal.

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

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

$\small 4$ $\displaystyle \small 4$ __________ $\small 1$ $\displaystyle \small 1$

$\small 4>1$ $\displaystyle \small 4>1$

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

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #11 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Example Question #12 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Example Question #12 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

All Common Core: 5th Grade Math Resources

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