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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 #6 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What is 9.16 in expanded form?

Possible Answers:

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

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

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

$9\times1+1\times\left(\frac{1}{100}\right)+6\times\left(\frac{1}{1000}\right)$

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

Correct answer:

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

Explanation:

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

is in the 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 $\frac{1}{100}$ .

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

Then we add the products together.

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Example Question #6 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What is 8.63 in expanded form?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

is in the ones place, so we multiply by .

$8\times1=8$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$\frac{\begin{array}[b]{r}8.00\\ +\ .60\\ .03 \end{array}}{ \ \ \space8.63}$

Report an Error

Example Question #7 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What is 2.34 in expanded form?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

is in the ones place, so we multiply by .

$2\times1=2$

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

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

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

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

Then we add the products together.

$\frac{\begin{array}[b]{r}2.00\\ +\ .30\\ .04 \end{array}}{ \ \ \space2.34}$

Report an Error

Example Question #11 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What is 3.74 in expanded form?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

is in the ones place, so we multiply by .

$3\times1=3$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$\frac{\begin{array}[b]{r}3.00\\ +\ .70\\ .04 \end{array}}{ \ \ \space3.74}$

Report an Error

Example Question #881 : Ssat Middle Level Quantitative (Math)

What is 1.33 in expanded form?

Possible Answers:

$1\times1+3\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{100}\right)$

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

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

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

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

Correct answer:

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

Explanation:

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

is in the ones place, so we multiply by .

$1\times1=1$

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

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

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

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

Then we add the products together.

$\frac{\begin{array}[b]{r}1.00\\ +\ .30\\ .03 \end{array}}{ \ \ \space1.33}$

Report an Error

Example Question #882 : Ssat Middle Level Quantitative (Math)

What is 2.58 in expanded form?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

is in the 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 $\frac{1}{100}$ .

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

Then we add the products together.

$\frac{\begin{array}[b]{r}2.00\\ +\ .50\\ .08 \end{array}}{ \ \ \space2.58}$

Report an Error

Example Question #883 : Ssat Middle Level Quantitative (Math)

What is 3.82 in expanded form?

Possible Answers:

$3\times1+8\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{10}\right)$

$3\times1+8\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)$

$3\times1+8\times\left(\frac{1}{100}\right)+2\times\left(\frac{1}{10}\right)$

$3\times1+8\times\left(\frac{1}{100}\right)+2\times\left(\frac{1}{100}\right)$

$3\times1+8\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{1000}\right)$

Correct answer:

$3\times1+8\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)$

Explanation:

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

is in the ones place, so we multiply by .

$3\times1=3$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$\frac{\begin{array}[b]{r}3.00\\ +\ .80\\ .02 \end{array}}{ \ \ \space3.82}$

Report an Error

Example Question #884 : Ssat Middle Level Quantitative (Math)

What is 4.25 in expanded form?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

is in the 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.

$\frac{\begin{array}[b]{r}4.00\\ +\ .20\\ .05 \end{array}}{ \ \ \space4.25}$

Report an Error

Example Question #885 : Ssat Middle Level Quantitative (Math)

What is 5.55 in expanded form?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

is in the ones place, so we multiply by .

$5\times1=5$

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.

$\frac{\begin{array}[b]{r}5.00\\ +\ .50\\ .05 \end{array}}{ \ \ \space5.55}$

Report an Error

Example Question #11 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What is 6.27 in expanded form?

Possible Answers:

$6\times1+2\times\left(\frac{1}{100}\right)+7\times\left(\frac{1}{100}\right)$

$6\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)$

$6\times1+2\times\left(\frac{1}{100}\right)+7\times\left(\frac{1}{10}\right)$

$6\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{10}\right)$

$6\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{1000}\right)$

Correct answer:

$6\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)$

Explanation:

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

is in the ones place, so we multiply by .

$6\times1=6$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$\frac{\begin{array}[b]{r}6.00\\ +\ .20\\ .07 \end{array}}{ \ \ \space6.27}$

Report an Error

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All SSAT Middle Level Math Resources

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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 #6 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

Example Question #6 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

Example Question #7 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

Example Question #11 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

Example Question #881 : Ssat Middle Level Quantitative (Math)

Example Question #882 : Ssat Middle Level Quantitative (Math)

Example Question #883 : Ssat Middle Level Quantitative (Math)

Example Question #884 : Ssat Middle Level Quantitative (Math)

Example Question #885 : Ssat Middle Level Quantitative (Math)

Example Question #11 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

All SSAT Middle Level Math Resources

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