In the given Worksheet on Division of Integers, you can find Problems on Integers Division. Find Step by Step Solutions for all the problems. Refer to all types of questions involved in the division of integers. Check solved examples and know the procedure followed to solve the problems. Go through the below sections, to know the practice tests and example problems. Try to solve as many times as possible so that your accuracy and speed will be increased. Thus, you can attempt the exam with confidence and answer the questions on Division of Integers easily.

**Question 1:**

If the temperature is dropping at a rate of 6 degrees per hour. How many hours will it take for the temperature to drop 30 degrees?

## Solution:

As given in the question,

The rate at which the temperature is dropping = 6 degrees per hour.

To find the hours it takes to drop the temperature to 30 degrees, we have to go for the division law of integers.

Therefore, change in temperature = -30/-6

= 5 hours

Thus, it takes 5 hours for the temperature to drop by 30 degrees per hour.

The final solution is 5 hours

**Question 2:**

If a stock is losing value at a rate of $8 per day. How many days before the stock has lost a value of $48?

## Solution:

The rate at which the stock is losing value = $8

To find the days that stock lost the value = $48, we have to apply the division of integers.

Therefore, no of days = -48/-8 = 6

Thus, it takes 6 days before the stock has lost the value of $48.

The final solution is $48

**Question 3:**

If a group of hikers is descending at a rate of 15 feet per hour down a mountain. How many hours will it take for the group of hikers to descend 105 feet?

## Solution:

The rate at which the hikers are descending = 15 feet per hour

To find time for a group of hikers to descend 105 feet, we apply the law of division.

Therefore, the time = -105/-15 = 7

Hence, the group of hikers descend 15 feet in 7 hours.

The final solution is 7 hours

**Question 4:**

If a bucket full of water is evaporating at a rate of 3 cm per hour. How long before the bucket has evaporated a total of 18cm?

## Solution:

The rate at which the bucket full of water is evaporated = 3 cm per hour

To find the time of the bucket evaporated a total of 18cm, we apply the division of integers.

Therefore, the total time = -18/-3 = 6

Thus, it takes 6 hours for the bucket to evaporate 18cm.

Hence, the final solution is 6 hours.

**Question 5:**

The product of 2 integers is 270. If one of the integers is (-18). Find the other one?

## Solution:

Let the other integer be x

As given in the question, the product of 2 integers is 270

x * (-18) = 270

x = 270/18

x = -15

Therefore, the final solution is -15

**Question 6:**

Find an integer which when multiplied by 4 and then divided by 9 becomes (-28)?

## Solution:

Let the integer be x

x * 4 / 9 = -28

4x / 9 = -28

4x = -28 * 9

x = -28 * 9 / 4

x = -63

Therefore, the integer which when multiplied by 4 and then divided by 9 becomes (-28) is -63

**Question 7:**

If the quotient obtained on dividing on integer by -9 is 8, Find the integer?

## Solution:

Let the integer be x

x / -9 = -8

x = -8 * -9

x = 72

**Question 8:**

A shopkeeper earns a profit of Rs 1 on selling one pen and suffers a loss of 30 paise on selling one pencil in a particular month, he incurs a lot of Rs. 5. In that month, he sold 40 pens. How many pencils did he sell in that period?

## Solution:

Let the no of pencils he sell in that month be x

No of pens he sell in that month = 40

40 * (1) + x * (-30/100) = -5

40 – 3x/10 = -5

40 + 5 = 3x/10

45 = 3x/10

x = 10 * 45/3

x = 150

**Question 9:**

The population of a small town is changing at rate of -255 people per year. How long will it take for the change in population to be -2040 people?

## Solution:

The rate of the population changing per year = -255

To find the change in population to be -2040 people, we have to apply division rule.

Therefore, the years for the change of population = -2040/-255 = 8

Hence, the total years = 8 years

The final solution is 8 years.

**Question 10:**

During a six-hour period, the temperature dropped 18 degrees. How much did the temperature change per hour?

## Solution:

Time of the period = 6 hours

Drop in the temperature = 18

To find the temperature change, apply the division rule.

Therefore, the total change = -18/6 = -3 degree

Hence, the temperature changed by 3 degrees per hour.

**Question 11:**

A stock decreased in value by $80 during the five days. How much did the stock decrease each day?

## Solution:

As given in the question,

The value at which the stock decreased = $80

No of days = 5

To find the stock decreased each day we apply division of integers.

Therefore, the stock decreased = -80/5 = -16

**Question 12:**

The outside temperature is -20degree F and rising at a rate of 5 degrees per hour. How long will it be before the temperature reaches 0 degrees F?

## Solution:

The temperature outside = -20 degree F

The rate of rising the temperature = 5 degrees per hour

To find how long will it be before the temperature reaches 0 degrees F, we apply the division of integers.

Therefore, the time taken = 20/5 = 4

Hence, it takes 4 hours to reach 0 degrees F

**Question 13:**

Judges in some figure skating competitions must give a mandatory 5 point deduction for each jump missed during the technical part of the competition. Marisa has participated in 5 competitions this year and has been given a total of -20 points for jumps missed. How many jumps did she miss?

## Solution:

Total no of points = -20

No of participants in the competition = 5

Therefore, total number of jumps missed = -20/(-5) = 4 jumps

The final solution is 4 jumps

**Question 14:**

Miranda is an excellent spinner who averages +3 points on her spins during competitions. Last year her total spin points equaled +21.

About how many spins did she successfully complete?

## Solution:

No of average spins = 3

Total spin points = 21

Therefore, no of spins she completed = 21/3 = 7 spins

Hence, the final solution is 7 spins.

**Question 15:**

The temperature dropped 32 degrees F in 4 hours. Suppose the temperature dropped by an equal amount each hour. What integer describes the change?

## Solution:

As given in the question,

Temperature drop = 32 degrees F**
**Time taken = 4 hours

Therefore, to find the integer that describes the change, we apply the division rule.

Hence, the time taken in 4 hours = -32/4 = -8 degrees F

The final solution is -8 degree F

**Question 16:**

A stock market fell 60 points over a period of 4 days. What was the average change in the stock market per each day?

## Solution:

As given in the question,

No of points fell in stock market = 60

Time of period = 4 days

To find the average change in the stock market per day, we apply the division method.

Therefore, the average change = 60/4 = -15

Hence, the final solution is every 15 points change in the stock market per day.

**Question17:**

In a lab, a substance was cooled by 36 degrees over a period of 6 hours at a constant rate. What was the change in temperature each hour?

## Solution:

As given in the question,

The temperature at which it was cooled = 36 degrees

Period of time = 6 hours

To find the change in temperature each hour, we apply the law of division rule.

Therefore, the change in temperature = 36/6 = 6

Hence, for every hour there will be a change of 6 degrees.

Thus, the final solution is 6 degrees.

**Question 18:**

The outside temperature is -20 degrees F and raising at the rate of 5 degrees per hour. How long will it be before the temperature reaches 0 degrees F?

## Solution:

As per the given solution,

The outside temperature = -20 degree F

The rate at which the temperature is rising = 5 degrees per hour

To find the temperature to reach 0 degrees F, we apply the division law of integers

Therefore, the change in temperature = 20/5 = 4 hours

Hence, it takes 4 hours before the temperature reaches 0 degree F

Thus, the final solution is 4 hours

**Question 19:**

Judges in some figure skating competitions must give a mandatory 5 point deduction for each jump missed during the technical part of the competition. Marisa has participated in 5 competitions this year and has been given a total of -20 points for jumps missed. How many jumps did she miss?

## Solution:

As given in the question,No of deduction points = 5 pointsNo of competitions Marisa participated in = 5Total points for jumps missed = -20

To find the jumps she missed, we apply the division rule.

Therefore, the jumps missed = -20/-5 = 4

Hence, Marisa missed 4 jumps in 5 competitions

Thus, the final solution is 4 jumps.

**Question 20:**

Mirinda is an excellent spinner who average +3 points on her spins during competitions. Last year her total spin points equaled +21. About how many spins did successfully complete?

## Solution:

As given in the question,

The average points on spin = +3

Total points equalled = +21

To find the spins that successfully completed, we apply the division law of integers.

Therefore, the spins completed = 21/3 = 7

Thus, the final solution is 7 spins.