Decimal Word Problems: Addition and Subtraction 1

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Question 1 of 5

1. Question
A grass section for a garden is to be covered by a black fence on its perimeter. What would the total length of the fence be?
- (25.8) $m$ $\text(m)$
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First, list down the given values in the problem.

Length: $7.6 m$ $7.6 \text(m)$

Required: $5.3 m$ $5.3 \text(m)$

To find the total length of the fence, solve for the perimeter of the grass section 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 $2$ $2$ $1$ $1$

$+$ $+$ $7$ $7$ $.$ $.$ $6$ $6$

$+$ $+$ $7$ $7$ $.$ $.$ $6$ $6$

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

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

$2$ $2$ $5$ $5$ $.$ $.$ $8$ $8$

Therefore, the total length of the black fence is $25.8 m$ $25.8 \text(m)$

$25.8 m$ $25.8 \text(m)$
Question 2 of 5

2. Question
Pedro has a piece of timber that is $6$ $6$ metres long. He needs to cut it down to a required length of $4.3$ $4.3$ m. How much does he need to cut off?
- (1.7) $m$ $\text(m)$
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First, list down the given values in the problem.

Total length: $6 m$ $6 \text(m)$

Required length: $4.3 m$ $4.3 \text(m)$

To find the length that Pedro needs to cut off, simply subtract the required length from the total length.

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 $0$ $0$ .

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

$-$ $-$ $4$ $4$ $.$ $.$ $3$ $3$

Since $0$ $0$ is less than $3$ $3$ we will use borrowing to subtract

Simply, subtract $1$ $1$ from $6$ $6$ and add $10$ $10$ to $0$ $0$

$5$ $5$ $10$ $10$

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

$-$ $-$ $4$ $4$ $.$ $.$ $3$ $3$

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

Therefore, Pedro needs to cut off $1.7 m$ $1.7 \text(m)$ of timber

$1.7 m$ $1.7 \text(m)$
Question 3 of 5

3. Question
George is weighing his luggage to make sure that the weight of both bags does not exceed the airline’s limits. One bag weighs $28.5 kg$ $28.5 \text(kg)$ and the other bag weighs $19.25 kg$ $19.25 \text(kg)$ . What is the total weight of his luggage?
- (47.75) $kg$ $\text(kg)$
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First, list down the given values in the problem.

Weight of first bag: $28.5 kg$ $28.5 \text(kg)$

Weight of second bag: $19.25 kg$ $19.25 \text(kg)$

To find the total weight of George’s luggage, simply add the weight of the first and second bag.

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 $1$ $1$

$+$ $+$ $2$ $2$ $8$ $8$ $.$ $.$ $5$ $5$ $0$ $0$

$+$ $+$ $1$ $1$ $9$ $9$ $.$ $.$ $2$ $2$ $5$ $5$

$4$ $4$ $7$ $7$ $.$ $.$ $7$ $7$ $5$ $5$

Therefore, the total weight of George’s luggage is $47.75 kg$ $47.75 \text(kg)$

$47.75 kg$ $47.75 \text(kg)$
Question 4 of 5

4. Question
Four boxes are to be weighed. The first one weighs $1.4 kg$ $1.4 \text(kg)$ , the second one weighs $3 kg$ $3 \text(kg)$ , the third one weighs $3.85 kg$ $3.85 \text(kg)$ and the fourth one weighs $1.6 kg$ $1.6 \text(kg)$ . What is the total mass of the boxes?
- (9.85) $kg$ $\text(kg)$
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First, list down the given values in the problem.

First box: $1.4 kg$ $1.4 \text(kg)$

Second box: $3 kg$ $3 \text(kg)$

Third box: $3.85 kg$ $3.85 \text(kg)$

Fourth box: $1.6 kg$ $1.6 \text(kg)$

To find the total mass, simply add the mass of the four boxes.

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 $1$ $1$

$+$ $+$ $1$ $1$ $.$ $.$ $4$ $4$ $0$ $0$

$+$ $+$ $3$ $3$ $.$ $.$ $0$ $0$ $0$ $0$

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

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

$9$ $9$ $.$ $.$ $8$ $8$ $5$ $5$

Therefore, the total mass of the boxes is $9.85 kg$ $9.85 \text(kg)$

$9.85 kg$ $9.85 \text(kg)$
Question 5 of 5

5. Question
Matthew’s temperature went from $36.2 ° C$ $36.2°C$ to $38 ° C$ $38°C$ . How much did his temperature rise?
- (1.8) $° C$ $°C$
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First, list down the given values in the problem.

Starting temperature: $36.2 ° C$ $36.2°C$

End temperature: $38 ° C$ $38°C$

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

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 $0$ $0$ .

$3$ $3$ $8$ $8$ $.$ $.$ $0$ $0$

$-$ $-$ $3$ $3$ $6$ $6$ $.$ $.$ $2$ $2$

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

Simply, subtract $1$ $1$ from $8$ $8$ and add $10$ $10$ to $0$ $0$

$7$ $7$ $10$ $10$

$3$ $3$ $8$ $8$ $.$ $.$ $0$ $0$

$-$ $-$ $3$ $3$ $6$ $6$ $.$ $.$ $2$ $2$

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

Therefore, Matthew’s temperature increased by $1.8 ° C$ $1.8°C$ .

$1.8 ° C$ $1.8°C$

Decimal Word Problems: Addition and Subtraction 1

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Quizzes

Carry Overs	$2$ $2$	$1$ $1$
$+$ $+$		$7$ $7$	$.$ $.$	$6$ $6$
$+$ $+$		$7$ $7$	$.$ $.$	$6$ $6$
$+$ $+$		$5$ $5$	$.$ $.$	$3$ $3$
$+$ $+$		$5$ $5$	$.$ $.$	$3$ $3$
	$2$ $2$	$5$ $5$	$.$ $.$	$8$ $8$

	$5$ $5$		$10$ $10$
	$6$ $6$	$.$ $.$	$0$ $0$
$-$ $-$	$4$ $4$	$.$ $.$	$3$ $3$
	$1$ $1$	$.$ $.$	$7$ $7$