Decimal Word Problems: Division 2

Years

Year 7

Decimals

Decimal Word Problems: Division

Decimal Word Problems: Division 2

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Question 1 of 4

1. Question
$4$ $4$ pizzas cost $$ 39.80$ $$39.80$ . How much does a single pizza cost?
- $$$ $$$ (9.95)
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First, list down the given values in the problem.

Total price of pizza: $$ 39.80$ $$39.80$

Amount of pizza: $4$ $4$

To find how much a single pizza costs, divide the total price of pizza by the amount of pizza.

Ignore the decimal point and proceed with dividing the two numbers

Arrange the values for long division

$4$ $4$ goes into $39$ $39$ nine times. So write $9$ $9$ above the line.

Multiply $9$ $9$ to $4$ $4$ and write the answer below $39$ $39$

Subtract $36$ $36$ from $39$ $39$ and write the answer one line below and bring down the next digit $8$ $8$

$4$ $4$ goes into $38$ $38$ nine times. So write $9$ $9$ above the line.

Multiply $9$ $9$ to $4$ $4$ and write the answer below $38$ $38$

Subtract $36$ $36$ from $38$ $38$ and write the answer one line below and bring down the next digit $0$ $0$

$4$ $4$ goes into $20$ $20$ five times. So write $5$ $5$ above the line.

Multiply $5$ $5$ to $4$ $4$ and write the answer below $20$ $20$

Since $5 \times 4 = 20$ $5xx4=20$ , there are no more remainders.

Finally, count how many place values from the decimal point to the right of the two values.

$39.80 =$ $39.80 =$ $2 places$ $2 \text(places)$

Get the final quotient by moving the decimal point of the initial quotient $2$ $2$ places to the left.

Therefore, a single pizza costs $$ 9.95$ $$9.95$ .

$$ 9.95$ $$9.95$
Question 2 of 4

2. Question
Olivia earned $$ 816$ $$816$ in total. If she earns $$ 20$ $$20$ per hour, how many hours did she work?
- (40.8) $hours$ $\text(hours)$
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First, list down the given values in the problem.

Total amount earned: $$ 816$ $$816$

Total hours worked: $20$ $20$

To find how much Olivia earns per hour, divide the total amount earned by the total hours worked.

Proceed with dividing the two numbers

Arrange the values for long division

$20$ $20$ goes into $81$ $81$ four times. So write $4$ $4$ above the line.

Multiply $4$ $4$ to $20$ $20$ and write the answer below $81$ $81$

Subtract $80$ $80$ from $81$ $81$ and write the answer one line below and bring down the remaining digit $6$ $6$

$16$ $16$ cannot be divided by $20$ $20$ . In this case, add a $0$ $0$ next to $16$ $16$ and $4$ $4$ and add a decimal point above the line

$20$ $20$ goes into $160$ $160$ eight times. So write $8$ $8$ above the line.

Multiply $8$ $8$ to $20$ $20$ and write the answer below $1600$ $1600$

Since $8 \times 20 = 160$ $8xx20=160$ , there are no more remainders.

Therefore, Olivia worked a total of $40.8$ $40.8$ hours.

$40.8 hours$ $40.8 \text(hours)$
Question 3 of 4

3. Question
John practiced doing sprints $4$ $4$ times. On his first try, his record was $9.98 seconds$ $9.98 \text(seconds)$ , the second one was $10.02 seconds$ $10.02 \text(seconds)$ , the third one was $9.90 seconds$ $9.90 \text(seconds)$ and the fourth one was $9.86 seconds$ $9.86 \text(seconds)$ . What is his average time?
- (9.9) $seconds$ $\text(seconds)$
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First, list down the given values in the problem.

Total tries: $4$ $4$

First score: $9.98 seconds$ $9.98 \text(seconds)$

Second score: $10.02 seconds$ $10.02 \text(seconds)$

Third score: $9.90 seconds$ $9.90 \text(seconds)$

Fourth score: $9.86 seconds$ $9.86 \text(seconds)$

To find John’s average time, find the sum of the time of his score and divide it by the total number of tries.

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 $2$ $2$ $2$ $2$ $1$ $1$

$+$ $+$ $9$ $9$ $.$ $.$ $9$ $9$ $8$ $8$

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

$+$ $+$ $9$ $9$ $.$ $.$ $9$ $9$ $0$ $0$

$+$ $+$ $9$ $9$ $.$ $.$ $8$ $8$ $6$ $6$

$3$ $3$ $9$ $9$ $.$ $.$ $7$ $7$ $6$ $6$

The total time of John’s sprint records is $39.76 seconds$ $39.76 \text(seconds)$ .

Next, ignore the decimal point and proceed with dividing the sum by the total number of tries

Arrange the values for long division

$4$ $4$ goes into $39$ $39$ nine times. So write $9$ $9$ above the line.

Multiply $9$ $9$ to $4$ $4$ and write the answer below $39$ $39$

Subtract $36$ $36$ from $39$ $39$ and write the answer one line below and bring down the next digit $7$ $7$

$4$ $4$ goes into $37$ $37$ nine times. So write $9$ $9$ above the line.

Multiply $9$ $9$ to $4$ $4$ and write the answer below $37$ $37$

Subtract $36$ $36$ from $37$ $37$ and write the answer one line below and bring down the remaining digit $6$ $6$

$4$ $4$ goes into $16$ $16$ four times. So write $4$ $4$ above the line.

Multiply $4$ $4$ to $4$ $4$ and write the answer below $37$ $37$

Since $4 \times 4 = 16$ $4xx4=16$ , there are no more remainders.

Next, count how many place values from the decimal point to the right of the two values.

$39.76 =$ $39.76 =$ $2 places$ $2 \text(places)$

Get the final quotient by moving the decimal point of the initial quotient $2$ $2$ places to the left.

Finally, mark the decimal places to remain, as well as the digit to its right.

Since we are rounding to one decimal place, apply the rounding rule on the hundredths value, which is $4$ $4$ .

Since $4$ $4$ is within $0 - 4$ $0-4$ , leave the tenths value as is, then remove any other digits to its right.

$9 .$ $9.$ $9$ $9$ $4$ $4$ $=$ $=$ $9 .$ $9.$ $9$ $9$

Therefore, John’s average score is $9.9$ $9.9$ seconds.

$9.9 seconds$ $9.9 \text(seconds)$
Question 4 of 4

4. Question
What is $15 minutes$ $15 \text(minutes)$ of an hour in decimals?
- (0.25) $minutes$ $\text(minutes)$
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First, convert the hours into minutes.

$1 hour = 60 minutes$ $1 \text(hour)=60 \text(minutes)$

$1 hour \times \frac{60 minutes}{1 hour}$ $1 \text(hour)xx(60 \text(minutes))/(1 \text(hour))$ $=$ $=$ $60 minutes$ $60 \text(minutes)$

Next, simplify the values by dividing them by $10$ $10$

Since the decimal is being multiplied by $10$ $10$ , simply move the decimal point $1$ $1$ place to the left.

$15$ $15$

$60$ $60$

$15 \div 10$ $15divide10$ $=$ $=$ $1.5$ $1.5$

$60 \div 10$ $60divide10$ $=$ $=$ $6$ $6$

Ignore the decimal point and proceed with dividing the two numbers

Arrange the values for long division

$1$ $1$ cannot be divided by $6$ $6$ . In this case, add a $0$ $0$ and a decimal point above the line

$6$ $6$ goes into $15$ $15$ two times. So write $2$ $2$ above the line.

Multiply $2$ $2$ to $6$ $6$ and write the answer below $15$ $15$

Subtract $12$ $12$ from $15$ $15$ and write the answer one line below

$3$ $3$ cannot be divided by $6$ $6$ . In this case, add a $0$ $0$ next to $3$ $3$

$6$ $6$ goes into $30$ $30$ five times. So write $5$ $5$ above the line.

Multiply $5$ $5$ to $6$ $6$ and write the answer below $15$ $15$

Since $5 \times 6 = 30$ $5xx6=30$ , there are no remainders in this division.

Therefore, $15 minutes$ $15 \text(minutes)$ of $1 hour$ $1 \text(hour)$ is $0.25 minutes$ $0.25 \text(minutes)$ .

$0.25 minutes$ $0.25 \text(minutes)$

Decimal Word Problems: Division 2

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Quiz summary

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1. Question

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2. Question

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Well Done!

3. Question

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4. Question

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Exceptional!

Quizzes

Carry Overs	$2$ $2$	$2$ $2$		$1$ $1$
$+$ $+$		$9$ $9$	$.$ $.$	$9$ $9$	$8$ $8$
$+$ $+$	$1$ $1$	$0$ $0$	$.$ $.$	$0$ $0$	$2$ $2$
$+$ $+$		$9$ $9$	$.$ $.$	$9$ $9$	$0$ $0$
$+$ $+$		$9$ $9$	$.$ $.$	$8$ $8$	$6$ $6$
	$3$ $3$	$9$ $9$	$.$ $.$	$7$ $7$	$6$ $6$

$15 \div 10$ $15divide10$	$=$ $=$	$1.5$ $1.5$
$60 \div 10$ $60divide10$	$=$ $=$	$6$ $6$