Math: Numbers and Operations Part 2: Decimals

Question 1

Change fraction to decimals:

2/5

Answer 1

0.4

simply divide the numerator by the denominator: 2 divided by 5 which equals .4

Question 2

Change fraction to decimals:

3/4

Answer 2

0.75

simply divide the numerator by the denominator: 3 divided by 3 which equals .75

Question 3

Change fraction to decimals:

5/8

Answer 3

0.625

simply divide the numerator by the denominator: 5 divided by 8 which equals 0.625

Question 4

Change fraction to decimals:

9/25

Answer 4

0.36

simply divide the numerator by the denominator: 9 divided by 25 which equals 0.36

Question 5

Change decimal to fraction:

.25

Answer 5

25/100
go to the last number in the decimal and identify its value (tenths, hundredths, thousandths etc) then you put that number under the number provided

in this case its hundredths

Question 6

Change decimal to fraction:

0.6

Answer 6

6/10 or 3/5
go to the last number in the decimal and identify its value (tenths, hundredths, thousandths etc) then you put that number under the number provided

in this case its tenths

Question 7

Change decimal to fraction:

0.125

Answer 7

125/1000 or 1/8
go to the last number in the decimal and identify its value (tenths, hundredths, thousandths etc) then you put that number under the number provided

in this case its thousandths

Question 8

What does percent mean?

Answer 8

out of a hundred or per hundred

Question 9

change the following percentages to decimals and fractions:
85%
125%
3%
8.5%

Answer 9

85% is 85/100 and 0.85
125% 125/100 and 1.25
3% is 3/100 and 0.03
8.5% is 8.5/100 and 0.085

Question 10

What is 82% of 420?

Answer 10

344.4

you turn your percentage to its decimal: 82% is 0.82 (82/100)
second step is to multiply the two numbers: 0.82 X 420

Question 11

A sweater is on sale for 30% off. What will you save if the original price of the sweater is $48.

Answer 11

$14.40

you turn your percentage to its decimal: 30% is 0.30
second step is to multiply the two numbers: 0.30 X 48

Question 12

Mike earns $2850 per month. If 12.5% of his earnings go to tax, how much tax does he pay per month?

Answer 12

$356.25

you turn your percentage to its decimal: 12.5% is 0.125
second step is to multiply the two numbers: 0.125 X 2850

Question 13

Finding the Rate:

Maria earns $1700 per month. She takes out a car loan. Her monthly payments are $204. What percent of her monthly income is the loan payment?

Answer 13

you start by 204/1700 which is 0.12.

you name change your decimal into a percentage (0.12 X 100) which is 12%

Question 14

Brent works as a sales clerk. his rate of pay is $7.50 an hour. He gets a raise to $8.10 per hour. Find the rate of increase in his pay.

Answer 14

8% increase

Step one, find the difference from his old salary and his new salary (8.10-7.50=.60)
Step two, divide the difference by the original number (.60/7.50=0.08)
Step three, convert the decimal to a percentage = 8% (.08 X 100)

Question 15

90% of employees at the shop have completed their safety course. If 62 employees have completed their course, how many employees work at the shop?

Answer 15

70

63/.90 = 70

Question 16

Approximately 60% of a class is male. If there are 24 males in the class, how many students in total are in the class?

Answer 16

40

24/.60

Question 17

Julie borrows $7500 to purchase a new car. The interest rate is 8% and Julie will take 3 years to pay off the loan. how much interest will Julie pay?

Answer 17

Principal X Rate X Time = Interest

7500 X .08 X 3 = $1800

Question 18

Mike buys a new TV. The total cost is $740.00. he makes a down payment of $200 and finances the balance for 2 years at 12% interest. How much does he pay for the TV in total?

Answer 18

Calculate the interest
Principal X Rate X Time = Interest
540 (740-200) X .12 X 2 =129.60

now add 200.00 + 129.60 + 540.00 = 869.60

Question 19

The value of the inventory at Sam’s Sporting Goods Store increased from $46,400 to $52, 200 during the first quarter of the year. What is the percent of increase in the value of the inventory?

Answer 19

Find the difference: 52,200-46,400 = 5,800
Divide the difference by the original amount: 5800/46,400 = 0.125
Multiply 0.125 X 100 = 12.5%

Question 20

Meg borrowed $2500 from her employer for 2 years at 2.5% interest. What is the amount she will pay back?

Answer 20

Principal X Rate X Time = Interest
2500 X 2.5% X 2
2500 X .025 (2.5/100) X 2 = 125

Now add principal and interest 2500 + 125 = 2625

$2625.00