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Common Core: 5th Grade Math : Number & Operations with Fractions

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

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #371 : Number & Operations With Fractions

Fill in the blank with the correct sign.

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

Possible Answers:

$\small =$

Correct answer:

Explanation:

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

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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Example Question #2 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Fill in the blank with the correct sign.

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

Possible Answers:

$\small =$

Correct answer:

Explanation:

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

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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Example Question #9 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Fill in the blank with the correct sign.

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

Possible Answers:

$\small >$

$\small =$

$\small <$

Correct answer:

$\small <$

Explanation:

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

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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Example Question #372 : Number & Operations With Fractions

Fill in the blank with the correct sign.

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

Possible Answers:

$\small =$

$\small <$

$\small >$

Correct answer:

$\small >$

Explanation:

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

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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Example Question #43 : How To Multiply Fractions

Fill in the blank with the correct sign.

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

Possible Answers:

$\small >$

$\small =$

Correct answer:

Explanation:

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

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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Example Question #372 : Number & Operations With Fractions

Fill in the blank with the correct sign.

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

Possible Answers:

$\small <$

$\small =$

$\small >$

Correct answer:

$\small >$

Explanation:

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

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

Fill in the blank with the correct sign.

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

Possible Answers:

$\small <$

$\small =$

$\small >$

Correct answer:

$\small >$

Explanation:

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

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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Example Question #1 : Comparing The Size Of A Product To The Size Of One Factor On The Basis Of The Size Of The Other Factor: Ccss.Math.Content.5.Nf.B.5a

Fill in the blank:

$7\times5$ is _________ times greater than .

Possible Answers:

seven

two

three

five

six

Correct answer:

five

Explanation:

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Example Question #1 : Comparing The Size Of A Product To The Size Of One Factor On The Basis Of The Size Of The Other Factor: Ccss.Math.Content.5.Nf.B.5a

Fill in the blank:

$2\times10$ is _________ times greater than .

Possible Answers:

seven

nine

ten

six

eight

Correct answer:

ten

Explanation:

We are multiplying by , which means that our product is going to be ten times greater than .

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Example Question #2 : Comparing The Size Of A Product To The Size Of One Factor On The Basis Of The Size Of The Other Factor: Ccss.Math.Content.5.Nf.B.5a

Fill in the blank:

$8\times5$ is _________ times greater than .

Possible Answers:

one

six

five

two

three

Correct answer:

five

Explanation:

We are multiplying by , which means that our product is going to be five times greater than .

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: 5th Grade Math : Number & Operations with Fractions

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #371 : Number & Operations With Fractions

Example Question #2 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Example Question #9 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Example Question #372 : Number & Operations With Fractions

Example Question #43 : How To Multiply Fractions

Example Question #372 : Number & Operations With Fractions

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

Example Question #1 : Comparing The Size Of A Product To The Size Of One Factor On The Basis Of The Size Of The Other Factor: Ccss.Math.Content.5.Nf.B.5a

Example Question #1 : Comparing The Size Of A Product To The Size Of One Factor On The Basis Of The Size Of The Other Factor: Ccss.Math.Content.5.Nf.B.5a

Example Question #2 : Comparing The Size Of A Product To The Size Of One Factor On The Basis Of The Size Of The Other Factor: Ccss.Math.Content.5.Nf.B.5a

All Common Core: 5th Grade Math Resources

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