Decimal Place Values 2

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Pre - Algebra

Decimals

Decimal Place Values

Decimal Place Values 2

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Question 1 of 5

1. Question
Convert to expanded form

$726.098$
- 1. $(7xx100)+(2xx10)+(6xx1)+(9xx1/100)+(8xx1/1000)$
- 2. $(7xx100)+(2xx10)+(6xx1)+(9xx1/100)+(8xx1/100)$
- 3. $(7xx10)+(2xx1)+(6xx1/10)+(9xx1/100)+(8xx1/1000)$
- 4. $(7xx1000)+(2xx10)+(6xx1)+(9xx1/10)+(8xx1/1000)$
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The expanded form of a decimal is the sum of its digits multiplied to their place values and are separated by parentheses.

$\text(Place Values)$

Hundreds Tens Units $.$ Tenths Hundredths Thousandths

$100$ $10$ $1$ $.$ $1/10$ $1/100$ $1/1000$

Match the given values to the corresponding place values in the table.

$726.098$

$\text(Place Values)$

Hundreds Tens Units $.$ Tenths Hundredths Thousandths

$100$ $10$ $1$ $.$ $1/10$ $1/100$ $1/1000$

$7$ $2$ $6$ $.$ $0$ $9$ $8$

Next, multiply the corresponding digits to their place values, starting from the left side, and get their sum.

Each product should be separated by a parenthesis

$\text(Hundreds)$ $=7xx100$

$\text(Tens)$ $=2xx10$

$\text(Units)$ $=6xx1$

$\text(Tenths)$ $=0xx1/10=0$

$\text(Hundredths)$ $=9xx1/100$

$\text(Thousandths)$ $=8xx1/1000$

$726.098$ $=$ $(7xx100)+(2xx10)+(6xx1)+(9xx1/100)+(8xx1/1000)$

$(7xx100)+(2xx10)+(6xx1)+(9xx1/100)+(8xx1/1000)$
Question 2 of 5

2. Question
Convert to a decimal

$8+7/100+2/1000$
- (8.072)
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To convert from expanded form to decimal form, use a table of place values to match the given values to their corresponding place value

$\text(Place Values)$

Hundreds Tens Units $.$ Tenths Hundredths Thousandths

$100$ $10$ $1$ $.$ $1/10$ $1/100$ $1/1000$

Match the given values to the corresponding place values in the table.

If there is no corresponding digit for a place value, write $0$ .

$8$ $+$ $7/100$ $+$ $2/1000$

Units $.$ Tenths Hundredths Thousandths

$1$ $.$ $1/10$ $1/100$ $1/1000$

$8$ $.$ $0$ $7$ $2$

$=$ $8.072$

$8.072$
Question 3 of 5

3. Question
Convert to a decimal

$406+1/10+5/100+3/1000$
- (406.153)
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To convert from expanded form to decimal form, use a table of place values to match the given values to their corresponding place value

$\text(Place Values)$

Hundreds Tens Units $.$ Tenths Hundredths Thousandths

$100$ $10$ $1$ $.$ $1/10$ $1/100$ $1/1000$

Match the given values to the corresponding place values in the table.

If there is no corresponding digit for a place value, write $0$ .

$4$ $0$ $6$ $+$ $1/10$ $+$ $5/100$ $+$ $3/1000$

Hundreds Tens Units $.$ Tenths Hundredths Thousandths

$100$ $10$ $1$ $.$ $1/10$ $1/100$ $1/1000$

$4$ $0$ $6$ $.$ $1$ $5$ $3$

$=$ $406.153$

$406.153$
Question 4 of 5

4. Question
Find the value of the underlined digit

$0.14\underline{6}$
- (0.006)
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To identify the place value of a digit, match the given value to its corresponding place value

$\text(Place Values)$

Hundreds Tens Units $.$ Tenths Hundredths Thousandths

$100$ $10$ $1$ $.$ $1/10$ $1/100$ $1/1000$

Match the given values to the corresponding place values in the table.

$0.14\color{#00880a}{\underline6}$

Units $.$ Tenths Hundredths Thousandths

$1$ $.$ $1/10$ $1/100$ $1/1000$

$0$ $.$ $1$ $4$ $6$

Next, multiply $6$ to its corresponding place value, which is thousandths $(1/1000)$ .

$6$ $xx$ $1/1000$ $=$ $6/1000$

$=$ $0.006$

The place value of $6$ in $0.146$ is $0.006$ .

$0.006$
Question 5 of 5

5. Question
Find the value of the underlined digit

$\underline{2}59.674$
- (200)
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To identify the place value of a digit, match the given value to its corresponding place value

$\text(Place Values)$

Hundreds Tens Units $.$ Tenths Hundredths Thousandths

$100$ $10$ $1$ $.$ $1/10$ $1/100$ $1/1000$

Match the given values to the corresponding place values in the table.

$\color{#00880a}{\underline2}59.674$

Hundreds Tens Units $.$ Tenths Hundredths Thousandths

$100$ $10$ $1$ $.$ $1/10$ $1/100$ $1/1000$

$2$ $5$ $9$ $.$ $6$ $7$ $4$

Next, multiply $2$ to its corresponding place value, which is hundreds ( $100$ ).

$2$ $xx$ $100$ $=$ $200$

The place value of $2$ in $259.674$ is $200$ .

$200$

Decimal Place Values 2

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Quiz summary

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1. Question

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2. Question

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3. Question

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4. Question

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5. Question

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Quizzes

Hundreds	Tens	Units	$.$	Tenths	Hundredths	Thousandths
$\text(Place Values)$
$100$	$10$	$1$	$.$	$1/10$	$1/100$	$1/1000$
$7$	$2$	$6$	$.$	$0$	$9$	$8$

$6$ $xx$ $1/1000$	$=$	$6/1000$

	$=$	$0.006$