Decimal Word Problems: Addition and Subtraction 2

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Question 1 of 5

1. Question
A gutter is to be installed around the roof of a house. What would be the total length of the gutter?
- (64.1, 64.10) $m$ $\text(m)$
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First, list down the given values in the problem.

Length: $23.85 m$ $23.85 \text(m)$

Witdh: $8.2 m$ $8.2 \text(m)$

To find the total length of the gutter, solve for the perimeter of the roof by adding the two lengths to the two widths.

Proceed with adding the values. Line up the decimal points (point over point).

If there are any blank values to the right of the decimal point, write $0$ $0$ .

Carry Overs $2$ $2$ $2$ $2$ $1$ $1$

$+$ $+$ $2$ $2$ $3$ $3$ $.$ $.$ $8$ $8$ $5$ $5$

$+$ $+$ $2$ $2$ $3$ $3$ $.$ $.$ $8$ $8$ $5$ $5$

$+$ $+$ $8$ $8$ $.$ $.$ $2$ $2$ $0$ $0$

$+$ $+$ $8$ $8$ $.$ $.$ $2$ $2$ $0$ $0$

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

Therefore, the total length of the gutter is $64.1 m$ $64.1 \text(m)$

$64.1 m$ $64.1 \text(m)$
Question 2 of 5

2. Question
The temperature was $27 ° C$ $27°C$ last Saturday and $33.5 ° C$ $33.5°C$ last Sunday. What was the difference in temperature during the weekend?
- (6.5) $° C$ $°C$
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First, list down the given values in the problem.

Temperature on Saturday: $27 ° C$ $27°C$

Temperature on Sunday: $33.5 ° C$ $33.5°C$

To find the difference of the temperature, simply subtract the temperature on Saturday from the temperature on Sunday.

Proceed with subtracting the values. Line up the decimal points (point over point).

If there are any blank values to the right of the decimal point, write $0$ $0$ .

$3$ $3$ $3$ $3$ $.$ $.$ $5$ $5$

$-$ $-$ $2$ $2$ $7$ $7$ $.$ $.$ $0$ $0$

Since $3$ $3$ is less than $7$ $7$ we will use borrowing to subtract

Simply, subtract $1$ $1$ from $3$ $3$ and add $10$ $10$ to $3$ $3$

$2$ $2$ $13$ $13$

$3$ $3$ $3$ $3$ $.$ $.$ $5$ $5$

$-$ $-$ $2$ $2$ $7$ $7$ $.$ $.$ $0$ $0$

$6$ $6$ $.$ $.$ $5$ $5$

Therefore, the difference in temperature is $6.5 ° C$ $6.5°C$

$6.5 ° C$ $6.5°C$
Question 3 of 5

3. Question
At the start of the year, Evan’s height was $153.4 cm$ $153.4 \text(cm)$ . By the end of the year he grew to $161.5 cm$ $161.5 \text(cm)$ . How much height did he gain?
- (8.1) $cm$ $\text(cm)$
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First, list down the given values in the problem.

Starting height: $153.4 cm$ $153.4 \text(cm)$

End height: $161.5 cm$ $161.5 \text(cm)$

To find the increase in height, subtract the starting height from the end height.

Proceed with subtracting the values. Line up the decimal points (point over point).

If there are any blank values to the right of the decimal point, write $0$ $0$ .

$1$ $1$ $6$ $6$ $1$ $1$ $.$ $.$ $5$ $5$

$-$ $-$ $1$ $1$ $5$ $5$ $3$ $3$ $.$ $.$ $4$ $4$

$.$ $.$ $1$ $1$

Since $1$ $1$ is less than $3$ $3$ we will use borrowing to subtract

Simply, subtract $1$ $1$ from $6$ $6$ and add $10$ $10$ to $1$ $1$

$5$ $5$ $11$ $11$

$1$ $1$ $6$ $6$ $1$ $1$ $.$ $.$ $5$ $5$

$-$ $-$ $1$ $1$ $5$ $5$ $3$ $3$ $.$ $.$ $4$ $4$

$8$ $8$ $.$ $.$ $1$ $1$

Therefore, Evan grew $8.1 cm$ $8.1 \text(cm)$ in the past year.

$8.1 cm$ $8.1 \text(cm)$
Question 4 of 5

4. Question
A roll of ribbon is $20 m$ $20 \text(m)$ long. It had $2.2 m$ $2.2 \text(m)$ of ribbon cut off. How much ribbon is remaining on the roll?
- (17.8) $m$ $\text(m)$
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First, list down the given values in the problem.

Length of ribbon roll: $20 m$ $20 \text(m)$

Length cut off: $2.2 m$ $2.2 \text(m)$

To find the remaining length of ribbon on the roll, simply subtract the length cut off from the length of the ribbon roll.

Proceed with subtracting the values. Line up the decimal points (point over point).

If there are any blank values to the right of the decimal point, write $0$ $0$ .

$2$ $2$ $0$ $0$ $.$ $.$ $0$ $0$

$-$ $-$ $2$ $2$ $.$ $.$ $2$ $2$

Since $0$ $0$ is less than $2$ $2$ we will use borrowing to subtract

$0$ $0$ (units digit) $=$ $=$ borrow $1$ $1$ from $2$ $2$

$0$ $0$ (tenths digit) $=$ $=$ borrow $1$ $1$ from $10$ $10$ (units digit)

$9$ $9$

$1$ $1$ $10$ $10$ $10$ $10$

$2$ $2$ $0$ $0$ $.$ $.$ $0$ $0$

$-$ $-$ $2$ $2$ $.$ $.$ $2$ $2$

$1$ $1$ $7$ $7$ $.$ $.$ $8$ $8$

Therefore, the remaining length of ribbon is $17.8 m$ $17.8 \text(m)$ .

$17.8 m$ $17.8 \text(m)$
Question 5 of 5

5. Question
A roll of fabric is $12 m$ $12 \text(m)$ long. If we cut $1.4 m$ $1.4 \text(m)$ off the roll, how long will the remaining fabric on the roll be?
- (10.6) $m$ $\text(m)$
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First, list down the given values in the problem.

Length of fabric roll: $12 m$ $12 \text(m)$

Length cut off: $1.4 m$ $1.4 \text(m)$

To find the remaining length of fabric on the roll, simply subtract the length cut off from the length of the fabric roll.

Proceed with subtracting the values. Line up the decimal points (point over point).

If there are any blank values to the right of the decimal point, write $0$ $0$ .

$1$ $1$ $2$ $2$ $.$ $.$ $0$ $0$

$-$ $-$ $1$ $1$ $.$ $.$ $4$ $4$

Since $0$ $0$ is less than $4$ $4$ we will use borrowing to subtract

Simply, subtract $1$ $1$ from $2$ $2$ and add $10$ $10$ to $0$ $0$

$1$ $1$ $10$ $10$

$1$ $1$ $2$ $2$ $.$ $.$ $0$ $0$

$-$ $-$ $1$ $1$ $.$ $.$ $4$ $4$

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

Therefore, the remaining length of fabric is $10.6 m$ $10.6 \text(m)$ .

$10.6 m$ $10.6 \text(m)$

Decimal Word Problems: Addition and Subtraction 2

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Quiz summary

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1. Question

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2. Question

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Fantastic!

3. Question

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Correct!

4. Question

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Well Done!

5. Question

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Keep Going!

Quizzes

Carry Overs	$2$ $2$	$2$ $2$		$1$ $1$
$+$ $+$	$2$ $2$	$3$ $3$	$.$ $.$	$8$ $8$	$5$ $5$
$+$ $+$	$2$ $2$	$3$ $3$	$.$ $.$	$8$ $8$	$5$ $5$
$+$ $+$		$8$ $8$	$.$ $.$	$2$ $2$	$0$ $0$
$+$ $+$		$8$ $8$	$.$ $.$	$2$ $2$	$0$ $0$
	$6$ $6$	$4$ $4$	$.$ $.$	$1$ $1$	$0$ $0$

	$2$ $2$	$13$ $13$
	$3$ $3$	$3$ $3$	$.$ $.$	$5$ $5$
$-$ $-$	$2$ $2$	$7$ $7$	$.$ $.$	$0$ $0$
		$6$ $6$	$.$ $.$	$5$ $5$

		$5$ $5$	$11$ $11$
	$1$ $1$	$6$ $6$	$1$ $1$	$.$ $.$	$5$ $5$
$-$ $-$	$1$ $1$	$5$ $5$	$3$ $3$	$.$ $.$	$4$ $4$
			$8$ $8$	$.$ $.$	$1$ $1$

		$9$ $9$
	$1$ $1$	$10$ $10$		$10$ $10$
	$2$ $2$	$0$ $0$	$.$ $.$	$0$ $0$
$-$ $-$		$2$ $2$	$.$ $.$	$2$ $2$
	$1$ $1$	$7$ $7$	$.$ $.$	$8$ $8$