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SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

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All SSAT Middle Level Math Resources

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

Example Questions

Example Question #21 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

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

Possible Answers:

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

$\small \frac{15}{1}$

$\small \frac{1}{15}$

$\small \frac{4}{2}$

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

Correct answer:

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

Explanation:

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

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.

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

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Example Question #22 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\small \frac{1}{3}\times 10$

Possible Answers:

$\small \frac{10}{3}$

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

$\small \frac{1}{30}$

$\small \frac{30}{1}$

$\small \frac{3}{10}$

Correct answer:

$\small \frac{10}{3}$

Explanation:

$\small \frac{1}{3}\times 10$

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.

$\small \small \frac{1}{3}\times \frac{10}{1}=\frac{10}{3}$

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Example Question #23 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\small \frac{3}{7}\times10$

Possible Answers:

$\small \frac{7}{30}$

$\small \frac{70}{3}$

$\small \frac{30}{7}$

$\small \frac{12}{3}$

$\small \frac{3}{70}$

Correct answer:

$\small \frac{30}{7}$

Explanation:

$\small \frac{3}{7}\times10$

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.

$\small \small \frac{3}{7}\times\frac{10}{1}=\frac{30}{7}$

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Example Question #24 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\small \frac{2}{7}\times11$

Possible Answers:

$\small \frac{20}{7}$

$\small \frac{7}{22}$

$\small \frac{2}{77}$

$\small \frac{77}2{}$

$\small \frac{22}7{}$

Correct answer:

$\small \frac{22}7{}$

Explanation:

$\small \frac{2}{7}\times11$

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.

$\small \small \frac{2}{7}\times\frac{11}{1}=\frac{22}{7}$

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Example Question #25 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\small \frac{8}{9}\times7$

Possible Answers:

$\small \frac{56}{63}$

$\small \frac{9}{56}$

$\small \frac{8}{63}$

$\small \frac{56}{9}$

$\small \frac{63}{8}$

Correct answer:

$\small \frac{56}{9}$

Explanation:

$\small \frac{8}{9}\times7$

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.

$\small \small \frac{8}{9}\times\frac{7}{1}=\frac{56}{9}$

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Example Question #1 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Fill in the blank with the correct sign.

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

Possible Answers:

$\small =$

$\small <$

$\small >$

Correct answer:

$\small <$

Explanation:

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

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

Fill in the blank with the correct sign.

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

Possible Answers:

$\small =$

Correct answer:

Explanation:

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

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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Example Question #3 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Fill in the blank with the correct sign.

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

Possible Answers:

$\small =$

$\small >$

$\small <$

Correct answer:

$\small >$

Explanation:

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

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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Example Question #1 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Fill in the blank with the correct sign.

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

Possible Answers:

$\small <$

$\small =$

$\small >$

Correct answer:

$\small <$

Explanation:

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

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

Fill in the blank with the correct sign.

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

Possible Answers:

$\small >$

Correct answer:

$\small >$

Explanation:

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

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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All SSAT Middle Level Math Resources

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SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #21 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #22 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #23 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #24 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #25 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #1 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

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

Example Question #3 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Example Question #1 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

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

All SSAT Middle Level Math Resources

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