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SSAT Middle Level Math : How to find the whole from the part

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 #245 : Numbers And Operations

What is 42.73 in expanded form?

Possible Answers:

$4\times100+2\times10+7\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$4\times10+2\times1+7\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$4\times100+2\times1+7\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$4\times10+2\times1+7\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{1000}\right)$

Correct answer:

$4\times10+2\times1+7\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

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 .

$4\times10=40$

is in the ones place, so we multiply by .

$2\times1=2$

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.

$\frac{\begin{array}[b]{r}40.00\\2.00\\ +\ .70\\ .03 \end{array}}{ \ \ \space42.73}$

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Example Question #246 : Numbers And Operations

What is 59.75 in expanded form?

Possible Answers:

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

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

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

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

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

Correct answer:

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

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 .

$5\times10=50$

is in the ones place, so we multiply by .

$9\times1=9$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$\frac{\begin{array}[b]{r}50.00\\9.00\\ +\ .70\\ .05 \end{array}}{ \ \ \space59.75}$

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Example Question #247 : Numbers And Operations

What is 68.43 in expanded form?

Possible Answers:

$6\times10+8\times10+4\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{1000}\right)$

$6\times10+8\times10+4\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$6\times1+8\times10+4\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$6\times10+8\times1+4\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{1000}\right)$

$6\times10+8\times1+4\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

Correct answer:

$6\times10+8\times1+4\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

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 .

$6\times10=60$

is in the ones place, so we multiply by .

$8\times1=8$

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

$4\times\frac{1}{10}=.4$

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

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

Then we add the products together.

$\frac{\begin{array}[b]{r}60.00\\8.00\\ +\ .40\\ .03 \end{array}}{ \ \ \space68.43}$

Report an Error

Example Question #248 : Numbers And Operations

What is 71.24 in expanded form?

Possible Answers:

$7\times10+1\times1+2\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)$

$7\times100+1\times1+2\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{100}\right)$

$7\times100+1\times1+2\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{1000}\right)$

$7\times10+1\times1+2\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{1000}\right)$

$7\times1+1\times10+2\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)$

Correct answer:

$7\times10+1\times1+2\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)$

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 .

$1\times1=1$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$\frac{\begin{array}[b]{r}70.00\\1.00\\ +\ .20\\ .04 \end{array}}{ \ \ \space71.24}$

Report an Error

Example Question #249 : Numbers And Operations

What is 82.55 in expanded form?

Possible Answers:

$8\times10+2\times1+5\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{1000}\right)$

$8\times10+2\times1+5\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$8\times10+2\times10+5\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$8\times10+2\times100+5\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$8\times10+2\times1+5\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

Correct answer:

$8\times10+2\times1+5\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

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 .

$8\times10=70$

is in the ones place, so we multiply by .

$2\times1=2$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$\frac{\begin{array}[b]{r}80.00\\2.00\\ +\ .50\\ .05 \end{array}}{ \ \ \space82.55}$

Report an Error

Example Question #250 : Numbers And Operations

What is 99.23 in expanded form?

Possible Answers:

$9\times10+9\times1+2\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{1000}\right)$

$9\times10+9\times100+2\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$9\times10+9\times1+2\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$9\times10+9\times10+2\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

$9\times10+9\times1+2\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{1000}\right)$

Correct answer:

$9\times10+9\times1+2\times\left(\frac{1}{10}\right)+3\times\left(\frac{1}{100}\right)$

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 .

$9\times10=90$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$\frac{\begin{array}[b]{r}90.00\\9.00\\ +\ .20\\ .05 \end{array}}{ \ \ \space99.23}$

Report an Error

Example Question #251 : Numbers And Operations

What is 12.84 in expanded form?

Possible Answers:

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

$1\times10+2\times1+8\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{1000}\right)$

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

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

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

Correct answer:

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

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 .

$1\times10=10$

is in the ones place, so we multiply by .

$2\times1=2$

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

$8\times\frac{1}{10}=.8$

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

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

Then we add the products together.

$\frac{\begin{array}[b]{r}10.00\\2.00\\ +\ .80\\ .04 \end{array}}{ \ \ \space12.84}$

Report an Error

Example Question #252 : Numbers And Operations

What is 29.44 in expanded form?

Possible Answers:

$2\times10+9\times1+4\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{1000}\right)$

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

$2\times10+9\times100+4\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{1000}\right)$

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

$2\times10+9\times10+4\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{1000}\right)$

Correct answer:

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

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 .

$2\times10=20$

is in the ones place, so we multiply by .

$9\times1=9$

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

$4\times\frac{1}{10}=.4$

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

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

Then we add the products together.

$\frac{\begin{array}[b]{r}20.00\\9.00\\ +\ .40\\ .04 \end{array}}{ \ \ \space29.44}$

Report an Error

Example Question #253 : Numbers And Operations

What is 53.26 in expanded form?

Possible Answers:

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

$5\times10+3\times100+2\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{100}\right)$

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

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

$5\times10+3\times100+2\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{1000}\right)$

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 #254 : Numbers And Operations

What is 79.258 in expanded form?

$7\times10+9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

Possible Answers:

$7\times10+9\times10+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{1000}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+9\times100+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+9\times1+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

Correct answer:

$7\times10+9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

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 $\frac{1}{100}$ .

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

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$8\times\frac{1}{1000}=.008$

Then we add the products together.

$\frac{\begin{array}[b]{r}70.000\\9.000\\ +\ .200\\ .050\\.008 \end{array}}{ \ \ \space79.258}$

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SSAT Middle Level Math : How to find the whole from the part

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #245 : Numbers And Operations

Example Question #246 : Numbers And Operations

Example Question #247 : Numbers And Operations

Example Question #248 : Numbers And Operations

Example Question #249 : Numbers And Operations

Example Question #250 : Numbers And Operations

Example Question #251 : Numbers And Operations

Example Question #252 : Numbers And Operations

Example Question #253 : Numbers And Operations

Example Question #254 : Numbers And Operations

All SSAT Middle Level Math Resources

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