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Common Core: 5th Grade Math : Common Core Math: Grade 5

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : Whole And Part

What is 72.45 in expanded form?

Possible Answers:

$7\times100+2\times1+4\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$7\times10+2\times1+4\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$7\times10+2\times1+4\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{100}\right)$

$7\times100+2\times1+4\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{1000}\right)$

$7\times10+2\times10+4\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

Correct answer:

$7\times10+2\times1+4\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

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 .

$2\times1=2$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$\frac{\begin{array}[b]{r}70.00\\2.00\\ +\ .40\\ .05 \end{array}}{ \ \ \space72.45}$

Report an Error

Example Question #42 : Whole And Part

What is 19.25 in expanded form?

Possible Answers:

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

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

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

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

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

Correct answer:

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

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 .

$1\times10=10$

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.

$\frac{\begin{array}[b]{r}10.00\\9.00\\ +\ .20\\ .05 \end{array}}{ \ \ \space19.25}$

Report an Error

Example Question #43 : Whole And Part

What is 27.16 in expanded form?

$2\times10+7\times1+1\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{100}\right)$

Possible Answers:

$2\times10+7\times1+1\times\left(\frac{1}{100}\right)+6\times\left(\frac{1}{1000}\right)$

$2\times10+7\times1+1\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{1000}\right)$

$2\times100+7\times1+1\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{100}\right)$

$2\times10+7\times10+1\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{100}\right)$

$2\times10+7\times1+1\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{100}\right)$

Correct answer:

$2\times10+7\times1+1\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{100}\right)$

Explanation:

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

is in the tens place, so we multiply by .

$2\times10=20$

is in the ones place, so we multiply by .

$7\times1=7$

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.

$\frac{\begin{array}[b]{r}20.00\\7.00\\ +\ .10\\ .06 \end{array}}{ \ \ \space27.16}$

Report an Error

Example Question #44 : Whole And Part

What is 36.73 in expanded form?

Possible Answers:

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

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

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

$3\times10+6\times1+7\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{1000}\right)$

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

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 #51 : Whole And Part

What is 42.73 in expanded form?

Possible Answers:

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

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

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

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

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.

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

Report an Error

Example Question #52 : Whole And Part

What is 59.75 in expanded form?

Possible Answers:

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

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

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

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

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

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.

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

Report an Error

Example Question #53 : Whole And Part

What is 68.43 in expanded form?

Possible Answers:

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

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

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

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

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

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 #54 : Whole And Part

What is 71.24 in expanded form?

Possible Answers:

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

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

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

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

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

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 #55 : Whole And Part

What is 82.55 in expanded form?

Possible Answers:

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

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

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

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

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

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 #56 : Whole And Part

What is 99.23 in expanded form?

Possible Answers:

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

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

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

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

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

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

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All Common Core: 5th Grade Math Resources

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Common Core: 5th Grade Math : Common Core Math: Grade 5

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #41 : Whole And Part

Example Question #42 : Whole And Part

Example Question #43 : Whole And Part

Example Question #44 : Whole And Part

Example Question #51 : Whole And Part

Example Question #52 : Whole And Part

Example Question #53 : Whole And Part

Example Question #54 : Whole And Part

Example Question #55 : Whole And Part

Example Question #56 : Whole And Part

All Common Core: 5th Grade Math Resources

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