Decimal Place Values 2

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Year 7

Decimals

Decimal Place Values

Decimal Place Values 2

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Question 1 of 5

Convert to expanded form

726.098

$726.098$

1. $(7 \times 100) + (2 \times 10) + (6 \times 1) + (9 \times \frac{1}{100}) + (8 \times \frac{1}{1000})$ $(7xx100)+(2xx10)+(6xx1)+(9xx1/100)+(8xx1/1000)$
2. $(7 \times 100) + (2 \times 10) + (6 \times 1) + (9 \times \frac{1}{100}) + (8 \times \frac{1}{100})$ $(7xx100)+(2xx10)+(6xx1)+(9xx1/100)+(8xx1/100)$
3. $(7 \times 10) + (2 \times 1) + (6 \times \frac{1}{10}) + (9 \times \frac{1}{100}) + (8 \times \frac{1}{1000})$ $(7xx10)+(2xx1)+(6xx1/10)+(9xx1/100)+(8xx1/1000)$
4. $(7 \times 1000) + (2 \times 10) + (6 \times 1) + (9 \times \frac{1}{10}) + (8 \times \frac{1}{1000})$ $(7xx1000)+(2xx10)+(6xx1)+(9xx1/10)+(8xx1/1000)$

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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.

Hundreds	Tens	Units	$.$ $.$	Tenths	Hundredths	Thousandths
$Place Values$ $\text(Place Values)$
$100$ $100$	$10$ $10$	$1$ $1$	$.$ $.$	$\frac{1}{10}$ $1/10$	$\frac{1}{100}$ $1/100$	$\frac{1}{1000}$ $1/1000$

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

726.098

$726.098$

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

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

$Hundreds$ $\text(Hundreds)$

= 7 \times 100

$=7xx100$

$Tens$ $\text(Tens)$

= 2 \times 10

$=2xx10$

$Units$ $\text(Units)$

= 6 \times 1

$=6xx1$

$Tenths$ $\text(Tenths)$

= 0 \times \frac{1}{10} = 0

$=0xx1/10=0$

$Hundredths$ $\text(Hundredths)$

= 9 \times \frac{1}{100}

$=9xx1/100$

$Thousandths$ $\text(Thousandths)$

= 8 \times \frac{1}{1000}

$=8xx1/1000$

726.098

$726.098$

=

$=$

(7 \times 100) + (2 \times 10) + (6 \times 1) + (9 \times \frac{1}{100}) + (8 \times \frac{1}{1000})

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

(7 \times 100) + (2 \times 10) + (6 \times 1) + (9 \times \frac{1}{100}) + (8 \times \frac{1}{1000})

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

Question 2 of 5

2. Question
Convert to a decimal

$8 + \frac{7}{100} + \frac{2}{1000}$ $8+7/100+2/1000$
- (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

$Place Values$ $\text(Place Values)$

Hundreds Tens Units $.$ $.$ Tenths Hundredths Thousandths

$100$ $100$ $10$ $10$ $1$ $1$ $.$ $.$ $\frac{1}{10}$ $1/10$ $\frac{1}{100}$ $1/100$ $\frac{1}{1000}$ $1/1000$

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

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

$8$ $8$ $+$ $+$ $\frac{7}{100}$ $7/100$ $+$ $+$ $\frac{2}{1000}$ $2/1000$

Units $.$ $.$ Tenths Hundredths Thousandths

$1$ $1$ $.$ $.$ $\frac{1}{10}$ $1/10$ $\frac{1}{100}$ $1/100$ $\frac{1}{1000}$ $1/1000$

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

$=$ $=$ $8.072$ $8.072$

$8.072$ $8.072$
Question 3 of 5

3. Question
Convert to a decimal

$406 + \frac{1}{10} + \frac{5}{100} + \frac{3}{1000}$ $406+1/10+5/100+3/1000$
- (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

$Place Values$ $\text(Place Values)$

Hundreds Tens Units $.$ $.$ Tenths Hundredths Thousandths

$100$ $100$ $10$ $10$ $1$ $1$ $.$ $.$ $\frac{1}{10}$ $1/10$ $\frac{1}{100}$ $1/100$ $\frac{1}{1000}$ $1/1000$

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

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

$4$ $4$ $0$ $0$ $6$ $6$ $+$ $+$ $\frac{1}{10}$ $1/10$ $+$ $+$ $\frac{5}{100}$ $5/100$ $+$ $+$ $\frac{3}{1000}$ $3/1000$

Hundreds Tens Units $.$ $.$ Tenths Hundredths Thousandths

$100$ $100$ $10$ $10$ $1$ $1$ $.$ $.$ $\frac{1}{10}$ $1/10$ $\frac{1}{100}$ $1/100$ $\frac{1}{1000}$ $1/1000$

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

$=$ $=$ $406.153$ $406.153$

$406.153$ $406.153$
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

$Place Values$ $\text(Place Values)$

Hundreds Tens Units $.$ $.$ Tenths Hundredths Thousandths

$100$ $100$ $10$ $10$ $1$ $1$ $.$ $.$ $\frac{1}{10}$ $1/10$ $\frac{1}{100}$ $1/100$ $\frac{1}{1000}$ $1/1000$

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

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

Units $.$ $.$ Tenths Hundredths Thousandths

$1$ $1$ $.$ $.$ $\frac{1}{10}$ $1/10$ $\frac{1}{100}$ $1/100$ $\frac{1}{1000}$ $1/1000$

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

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

$6$ $6$ $\times$ $xx$ $\frac{1}{1000}$ $1/1000$ $=$ $=$ $\frac{6}{1000}$ $6/1000$

$=$ $=$ $0.006$ $0.006$

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

$0.006$ $0.006$
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

$Place Values$ $\text(Place Values)$

Hundreds Tens Units $.$ $.$ Tenths Hundredths Thousandths

$100$ $100$ $10$ $10$ $1$ $1$ $.$ $.$ $\frac{1}{10}$ $1/10$ $\frac{1}{100}$ $1/100$ $\frac{1}{1000}$ $1/1000$

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

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

Hundreds Tens Units $.$ $.$ Tenths Hundredths Thousandths

$100$ $100$ $10$ $10$ $1$ $1$ $.$ $.$ $\frac{1}{10}$ $1/10$ $\frac{1}{100}$ $1/100$ $\frac{1}{1000}$ $1/1000$

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

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

$2$ $2$ $\times$ $xx$ $100$ $100$ $=$ $=$ $200$ $200$

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

$200$ $200$

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Quiz summary

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1. Question

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Correct!

2. Question

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Fantastic!

3. Question

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Nice Job!

4. Question

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Correct!

5. Question

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Nice Job!

Quizzes

$6$ $6$ $\times$ $xx$ $\frac{1}{1000}$ $1/1000$	$=$ $=$	$\frac{6}{1000}$ $6/1000$

	$=$ $=$	$0.006$ $0.006$