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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 #77 : Whole And Part

What is 66.729 in expanded form?

Possible Answers:

$6\times1+6\times10+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+9\times\left(\frac{1}{1000}\right)$

$6\times1+6\times10+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+9\times\left(\frac{1}{10000}\right)$

$6\times10+6\times1+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+9\times\left(\frac{1}{10000}\right)$

$6\times10+6\times1+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+9\times\left(\frac{1}{1000}\right)$

$6\times10+6\times1+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{1000}\right)+9\times\left(\frac{1}{1000}\right)$

Correct answer:

$6\times10+6\times1+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+9\times\left(\frac{1}{1000}\right)$

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 .

$6\times10=60$

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 $\frac{1}{100}$ .

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

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

$9\times\frac{1}{1000}=.009$

Then we add the products together.

$\frac{\begin{array}[b]{r}60.000\\6.000\\ +\ .700\\ .020\\.009 \end{array}}{ \ \ \space66.729}$

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Example Question #78 : Whole And Part

What is 73.958 in expanded form?

Possible Answers:

$7\times1+3\times10+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+3\times100+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+3\times1+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+3\times1+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{10000}\right)$

$7\times1+3\times10+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{10000}\right)$

Correct answer:

$7\times10+3\times1+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

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 .

$3\times1=3$

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

$9\times\frac{1}{10}=.9$

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.

$\frac{\begin{array}[b]{r}70.000\\3.000\\ +\ .900\\ .050\\.008 \end{array}}{ \ \ \space73.958}$

Report an Error

Example Question #61 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What is 84.673 in expanded form?

Possible Answers:

$8\times10+4\times1+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{10000}\right)$

$8\times10+4\times100+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{1000}\right)$

$8\times10+4\times1+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{1000}\right)+3\times\left(\frac{1}{1000}\right)$

$8\times10+4\times1+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{1000}\right)$

$8\times1+4\times10+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{1000}\right)$

Correct answer:

$8\times10+4\times1+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{1000}\right)$

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 .

$8\times10=80$

is in the ones place, so we multiply by .

$4\times1=4$

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 $\frac{1}{100}$ .

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

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

$3\times\frac{1}{1000}=.003$

Then we add the products together.

$\frac{\begin{array}[b]{r}80.000\\4.000\\ +\ .600\\ .070\\.003 \end{array}}{ \ \ \space84.673}$

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Example Question #62 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What is 94.525 in expanded form?

Possible Answers:

$9\times10+4\times1+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{1000}\right)+5\times\left(\frac{1}{1000}\right)$

$9\times10+4\times100+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

$9\times10+4\times1+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

$9\times1+4\times10+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{10000}\right)$

$9\times10+4\times10+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

Correct answer:

$9\times10+4\times1+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

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 .

$9\times10=90$

is in the ones place, so we multiply by .

$4\times1=4$

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

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

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

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

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

$5\times\frac{1}{1000}=.005$

Then we add the products together.

$\frac{\begin{array}[b]{r}90.000\\4.000\\ +\ .500\\ .020\\.005 \end{array}}{ \ \ \space94.525}$

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Example Question #431 : Common Core Math: Grade 5

What is 28.278 in expanded form?

Possible Answers:

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

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

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

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

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

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.

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

Report an Error

Example Question #432 : Common Core Math: Grade 5

What is 49.754 in expanded form?

Possible Answers:

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

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

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

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

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

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.

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

Report an Error

Example Question #81 : Whole And Part

What is 76.148 in expanded form?

Possible Answers:

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

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

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

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

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

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.

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

Report an Error

Example Question #251 : Number & Operations In Base Ten

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

Possible Answers:

253.084

253.086

253.86

$25\textup,386$

$25\textup,384$

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 #271 : Numbers And Operations

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

Possible Answers:

742.066

74.266

7.4266

742.66

$74\textup,266$

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.

Report an Error

Example Question #252 : Number & Operations In Base Ten

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

Possible Answers:

3204.37

324.37

32.437

324.037

$32\textup,437$

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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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 #77 : Whole And Part

Example Question #78 : Whole And Part

Example Question #61 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

Example Question #62 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

Example Question #431 : Common Core Math: Grade 5

Example Question #432 : Common Core Math: Grade 5

Example Question #81 : Whole And Part

Example Question #251 : Number & Operations In Base Ten

Example Question #271 : Numbers And Operations

Example Question #252 : Number & Operations In Base Ten

All Common Core: 5th Grade Math Resources

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