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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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Example Questions

Example Question #275 : Numbers And Operations

What is 28.278 in expanded form?

Possible Answers:

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

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

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

$2\times10+8\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{10000}\right)$

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

Correct answer:

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

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 .

$2\times10=20$

is in the ones place, so we multiply by .

$8\times1=8$

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 $\frac{1}{100}$ .

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

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.

$\frac{\begin{array}[b]{r}20.000\\8.000\\ +\ .200\\ .070\\.008 \end{array}}{ \ \ \space28.278}$

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Example Question #276 : Numbers And Operations

What is 49.754 in expanded form?

Possible Answers:

$4\times10+9\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{10000}\right)$

$4\times1+9\times10+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{1000}\right)$

$4\times10+9\times100+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{1000}\right)$

$4\times10+9\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{1000}\right)$

$4\times10+9\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{1000}\right)+4\times\left(\frac{1}{1000}\right)$

Correct answer:

$4\times10+9\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{1000}\right)$

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 .

$4\times10=40$

is in the ones place, so we multiply by .

$9\times1=9$

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

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

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 $\frac{1}{1000}$ .

$4\times\frac{1}{1000}=.004$

Then we add the products together.

$\frac{\begin{array}[b]{r}40.000\\9.000\\ +\ .700\\ .050\\.004 \end{array}}{ \ \ \space49.754}$

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Example Question #277 : Numbers And Operations

What is 76.148 in expanded form?

Possible Answers:

$7\times10+6\times1+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+6\times1+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{1000}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+6\times1+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{10000}\right)$

$7\times10+6\times10+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+6\times1+10\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

Correct answer:

$7\times10+6\times1+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

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 .

$6\times1=6$

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 $\frac{1}{100}$ .

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

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.

$\frac{\begin{array}[b]{r}70.000\\6.000\\ +\ .100\\ .040\\.008 \end{array}}{ \ \ \space76.148}$

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Example Question #271 : Numbers And Operations

What number is two hundred fifty-three and eighty-six hundredths?

Possible Answers:

253.084

$25\textup,384$

$25\textup,386$

253.086

253.86

Correct answer:

253.86

Explanation:

In number form, two hundred fifty-three and eighty-six hundredths is 253.86 . The "and" signifies the decimal, and "hundredths" signifies the place value of the last decimal number.

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Example Question #272 : Numbers And Operations

What number is seven hundred forty-two and sixty-six hundredths?

Possible Answers:

$74\textup,266$

742.66

7.4266

742.066

74.266

Correct answer:

742.66

Explanation:

In number form, seven hundred forty-two and sixty-six hundredths is 742.66 . The "and" signifies the decimal, and "hundredths" signifies the place value of the last decimal number.

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Example Question #273 : Numbers And Operations

What number is three hundred twenty-four and thirty-seven hundredths?

Possible Answers:

324.37

324.037

$32\textup,437$

32.437

3204.37

Correct answer:

324.37

Explanation:

In number form, three hundred twenty-four and thirty-seven hundredths is 324.37 . The "and" signifies the decimal, and "hundredths" signifies the place value of the last decimal number.

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Example Question #81 : How To Find The Whole From The Part

What number is four hundred seventy-two and thirty-four hundredths?

Possible Answers:

472.034

47.234

472.34

$47\textup,234$

4723.4

Correct answer:

472.34

Explanation:

In number form, four hundred seventy-two and thirty-four hundredths is 472.34 . The "and" signifies the decimal, and "hundredths" signifies the place value of the last decimal number.

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Example Question #82 : How To Find The Whole From The Part

What number is five hundred fifty-one and forty-two hundredths?

Possible Answers:

55.142

5514.2

5.5142

551.42

551.042

Correct answer:

551.42

Explanation:

In number form, five hundred fifty-one and forty-two hundredths is 551.42 . The "and" signifies the decimal, and "hundredths" signifies the place value of the last decimal number.

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Example Question #83 : How To Find The Whole From The Part

What number is six hundred ninety-seven and eighty-six hundredths?

Possible Answers:

697.86

69708.6

6.9786

697.086

6970.86

Correct answer:

697.86

Explanation:

In number form, six hundred ninety-seven and eighty-six hundredths is 697.86 . The "and" signifies the decimal, and "hundredths" signifies the place value of the last decimal number.

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Example Question #84 : How To Find The Whole From The Part

What number is seven hundred fifty-nine and seventeen hundredths?

Possible Answers:

7591.7

75.917

75901.7

759.17

759.017

Correct answer:

759.17

Explanation:

In number form, seven hundred fifty-nine and seventeen hundredths is 759.17 . The "and" signifies the decimal, and "hundredths" signifies the place value of the last decimal number.

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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 #275 : Numbers And Operations

Example Question #276 : Numbers And Operations

Example Question #277 : Numbers And Operations

Example Question #271 : Numbers And Operations

Example Question #272 : Numbers And Operations

Example Question #273 : Numbers And Operations

Example Question #81 : How To Find The Whole From The Part

Example Question #82 : How To Find The Whole From The Part

Example Question #83 : How To Find The Whole From The Part

Example Question #84 : How To Find The Whole From The Part

All SSAT Middle Level Math Resources

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