Math: Numbers and Operations Part 2: Decimals Flashcards
Change fraction to decimals:
2/5
0.4
simply divide the numerator by the denominator: 2 divided by 5 which equals .4
Change fraction to decimals:
3/4
0.75
simply divide the numerator by the denominator: 3 divided by 3 which equals .75
Change fraction to decimals:
5/8
0.625
simply divide the numerator by the denominator: 5 divided by 8 which equals 0.625
Change fraction to decimals:
9/25
0.36
simply divide the numerator by the denominator: 9 divided by 25 which equals 0.36
Change decimal to fraction:
.25
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
Change decimal to fraction:
0.6
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
Change decimal to fraction:
0.125
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
What does percent mean?
out of a hundred or per hundred
change the following percentages to decimals and fractions: 85% 125% 3% 8.5%
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
What is 82% of 420?
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
A sweater is on sale for 30% off. What will you save if the original price of the sweater is $48.
$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
Mike earns $2850 per month. If 12.5% of his earnings go to tax, how much tax does he pay per month?
$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
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?
you start by 204/1700 which is 0.12.
you name change your decimal into a percentage (0.12 X 100) which is 12%
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.
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)
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?
70
63/.90 = 70
Approximately 60% of a class is male. If there are 24 males in the class, how many students in total are in the class?
40
24/.60
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?
Principal X Rate X Time = Interest
7500 X .08 X 3 = $1800
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?
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
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?
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%
Meg borrowed $2500 from her employer for 2 years at 2.5% interest. What is the amount she will pay back?
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
