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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 #37 : Whole And Part

What is 79.25 in expanded form?

Possible Answers:

$7\times10+9\times1+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

$7\times10+9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$7\times100+9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$7\times10+9\times10+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$7\times100+9\times10+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

Correct answer:

$7\times10+9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$7\times10=70$

is in the ones place, so we multiply by .

$9\times1=9$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$5\times\frac{1}{100}=.05$

Then we add the products together.

$\frac{\begin{array}[b]{r}70.00\\9.00\\ +\ .20\\ .05 \end{array}}{ \ \ \space79.25}$

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Example Question #201 : Number & Operations In Base Ten

What is 36.73 in expanded form?

Possible Answers:

$3\times10+6\times1+7\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{10}\right)$

$3\times10+6\times10+7\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$3\times100+6\times10+7\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$3\times10+6\times1+7\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$3\times100+6\times1+7\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{10}\right)$

Correct answer:

$3\times10+6\times1+7\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$3\times10=30$

is in the ones place, so we multiply by .

$6\times1=6$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$7\times\frac{1}{10}=.7$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$3\times\frac{1}{100}=.03$

Then we add the products together.

$\frac{\begin{array}[b]{r}30.00\\6.00\\ +\ .70\\ .03 \end{array}}{ \ \ \space36.73}$

Report an Error

Example Question #202 : Number & Operations In Base Ten

What is 49.28 in expanded form?

Possible Answers:

$4\times10+9\times1+2\times\left(\frac{1}{10}\right)+8\times\left(\frac{1}{100}\right)$

$4\times10+9\times1+2\times\left(\frac{1}{10}\right)+8\times\left(\frac{1}{10}\right)$

$4\times100+9\times1+2\times\left(\frac{1}{10}\right)+8\times\left(\frac{1}{100}\right)$

$4\times10+9\times10+2\times\left(\frac{1}{10}\right)+8\times\left(\frac{1}{100}\right)$

$4\times10+9\times1+2\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{100}\right)$

Correct answer:

$4\times10+9\times1+2\times\left(\frac{1}{10}\right)+8\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$4\times10=40$

is in the ones place, so we multiply by .

$9\times1=9$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$8\times\frac{1}{100}=.08$

Then we add the products together.

$\frac{\begin{array}[b]{r}40.00\\9.00\\ +\ .20\\ .08 \end{array}}{ \ \ \space49.28}$

Report an Error

Example Question #211 : Number & Operations In Base Ten

What is 53.26 in expanded form?

Possible Answers:

$5\times100+3\times1+2\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{100}\right)$

$5\times10+3\times1+2\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{10}\right)$

$5\times1+3\times10+2\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{100}\right)$

$5\times10+3\times1+2\times\left(\frac{1}{100}\right)+6\times\left(\frac{1}{100}\right)$

$5\times10+3\times1+2\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{100}\right)$

Correct answer:

$5\times10+3\times1+2\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$5\times10=50$

is in the ones place, so we multiply by .

$3\times1=3$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$6\times\frac{1}{100}=.06$

Then we add the products together.

$\frac{\begin{array}[b]{r}50.00\\3.00\\ +\ .20\\ .06 \end{array}}{ \ \ \space53.26}$

Report an Error

Example Question #231 : Numbers And Operations

What is 69.62 in expanded form?

Possible Answers:

$6\times100+9\times10+6\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)$

$6\times10+9\times1+6\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)$

$6\times10+9\times10+6\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)$

$6\times10+9\times1+6\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{10}\right)$

$6\times10+9\times1+6\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{1000}\right)$

Correct answer:

$6\times10+9\times1+6\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$6\times10=60$

is in the ones place, so we multiply by .

$9\times1=9$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$6\times\frac{1}{10}=.6$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$2\times\frac{1}{100}=.02$

Then we add the products together.

$\frac{\begin{array}[b]{r}60.00\\9.00\\ +\ .60\\ .02 \end{array}}{ \ \ \space69.62}$

Report an Error

Example Question #232 : Numbers And Operations

What is 79.14 in expanded form?

Possible Answers:

$7\times100+9\times10+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)$

$7\times10+9\times10+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)$

$7\times10+9\times1+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{1000}\right)$

$7\times10+9\times1+1\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{100}\right)$

$7\times10+9\times1+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)$

Correct answer:

$7\times10+9\times1+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$7\times10=70$

is in the ones place, so we multiply by .

$9\times1=9$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$1\times\frac{1}{10}=.1$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$4\times\frac{1}{100}=.04$

Then we add the products together.

$\frac{\begin{array}[b]{r}70.00\\9.00\\ +\ .10\\ .04 \end{array}}{ \ \ \space79.14}$

Report an Error

Example Question #43 : How To Find The Whole From The Part

What is 87.53 in expanded form?

Possible Answers:

$8\times100+7\times1+5\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{100}\right)$

$8\times10+7\times1+5\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{10}\right)$

$8\times10+7\times1+5\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$8\times10+7\times10+5\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$8\times100+7\times1+5\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{1000}\right)$

Correct answer:

$8\times10+7\times1+5\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$8\times10=80$

is in the ones place, so we multiply by .

$7\times1=7$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$5\times\frac{1}{10}=.5$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$3\times\frac{1}{100}=.03$

Then we add the products together.

$\frac{\begin{array}[b]{r}80.00\\7.00\\ +\ .50\\ .03 \end{array}}{ \ \ \space87.53}$

Report an Error

Example Question #44 : How To Find The Whole From The Part

What is 94.25 in expanded form?

Possible Answers:

$9\times10+4\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{10}\right)$

$9\times100+4\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{1000}\right)$

$9\times100+4\times10+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{10}\right)$

$9\times100+4\times10+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$9\times10+4\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

Correct answer:

$9\times10+4\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$9\times10=90$

is in the ones place, so we multiply by .

$4\times1=4$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$5\times\frac{1}{100}=.05$

Then we add the products together.

$\frac{\begin{array}[b]{r}90.00\\4.00\\ +\ .20\\ .05 \end{array}}{ \ \ \space94.25}$

Report an Error

Example Question #45 : How To Find The Whole From The Part

What is 23.65 in expanded form?

Possible Answers:

$2\times10+3\times1+6\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$2\times100+3\times1+6\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$2\times1+3\times10+6\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$2\times10+3\times1+6\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{1000}\right)$

$2\times10+3\times1+6\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

Correct answer:

$2\times10+3\times1+6\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$2\times10=20$

is in the ones place, so we multiply by .

$3\times1=3$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$6\times\frac{1}{10}=.6$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$5\times\frac{1}{100}=.05$

Then we add the products together.

$\frac{\begin{array}[b]{r}20.00\\3.00\\ +\ .60\\ .05 \end{array}}{ \ \ \space23.65}$

Report an Error

Example Question #46 : How To Find The Whole From The Part

What is 14.57 in expanded form?

Possible Answers:

$1\times10+4\times10+5\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)$

$1\times100+4\times1+5\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)$

$1\times10+4\times1+5\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{10}\right)$

$1\times10+4\times1+5\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)$

$1\times10+4\times10+5\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{1000}\right)$

Correct answer:

$1\times10+4\times1+5\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$1\times10=10$

is in the ones place, so we multiply by .

$4\times1=4$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$5\times\frac{1}{10}=.5$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$7\times\frac{1}{100}=.07$

Then we add the products together.

$\frac{\begin{array}[b]{r}10.00\\4.00\\ +\ .50\\ .07 \end{array}}{ \ \ \space14.57}$

Report an Error

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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 #37 : Whole And Part

Example Question #201 : Number & Operations In Base Ten

Example Question #202 : Number & Operations In Base Ten

Example Question #211 : Number & Operations In Base Ten

Example Question #231 : Numbers And Operations

Example Question #232 : Numbers And Operations

Example Question #43 : How To Find The Whole From The Part

Example Question #44 : How To Find The Whole From The Part

Example Question #45 : How To Find The Whole From The Part

Example Question #46 : How To Find The Whole From The Part

All SSAT Middle Level Math Resources

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