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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 #1041 : Numbers And Operations

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 #1041 : Numbers And Operations

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 #7 : 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 #1042 : Numbers And Operations

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 #1704 : Ssat Middle Level Quantitative (Math)

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

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 #1043 : Numbers And Operations

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 #1044 : Numbers And Operations

Sara collected $\small \frac{2}{9}$ of a bag of leaves. Joe collected $\small 7$ times as many bags as Sara. How many bags did Joe collect?

Possible Answers:

$\small \frac{9}{14}$

$\small \frac{9}{13}$

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

$\small 1\frac{5}{9}$

$\small \frac{5}{9}$

Correct answer:

$\small 1\frac{5}{9}$

Explanation:

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.

$\small \frac{7}{1}\times\frac{2}{9}=\frac{14}{9}$

$\small \frac{14}{9}=1\frac{5}{9}$ Because $\small 9$ can go into $\small 14$ only $\small 1$ time and $\small \frac{5}{9}$ is left over.

Joe collected $\small 1\frac{5}{9}$ bags of leaves.

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Example Question #1316 : Common Core Math: Grade 5

Alison collected $\small \frac{1}{5}$ of a bag of leaves. Karen collected $\small 6$ times as many bags as Alison. How many bags did Karen collect?

Possible Answers:

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

$\small 1\frac{1}{6}$

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

$\small \frac{6}{7}$

$\small \frac{3}{6}$

Correct answer:

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

Explanation:

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.

$\small \small \frac{6}{1}\times\frac{1}{5}=\frac{6}{5}$

$\small \frac{6}{5}=1\frac{1}{5}$ Because $\small 5$ can go into only $\small 1$ time and $\small \frac{1}{5}$ is left over.

Karen collected $\small 1\frac{1}{5}$ bags of leaves.

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Example Question #3 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Jess collected $\small \frac{2}{3}$ of a bag of leaves. Sam collected times as many bags as Jess. How many bags did Sam collect?

Possible Answers:

$\small \frac{2}{18}$

$\small 4$

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

$\small \frac{7}{5}$

Correct answer:

$\small 4$

Explanation:

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.

$\small \frac{6}{1}\times\frac{2}{3}=\frac{12}{3}$

$\small \frac{12}{3}=4$ Because can go into an even times.

Sam collected bags of leaves.

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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 #1041 : Numbers And Operations

Example Question #1041 : Numbers And Operations

Example Question #7 : Interpret Multiplication As Scaling: Ccss.Math.Content.5.Nf.B.5

Example Question #1042 : Numbers And Operations

Example Question #1704 : Ssat Middle Level Quantitative (Math)

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

Example Question #1043 : Numbers And Operations

Example Question #1044 : Numbers And Operations

Example Question #1316 : Common Core Math: Grade 5

Example Question #3 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

All SSAT Middle Level Math Resources

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