Relating Percents, Fractions, and Decimals
What is 10% as a fraction AND a decimal?
Decimal: 0.1
What does it mean if I have a percentage that is greater than 100?
That I have all of one of whatever the whole is, plus some of another one.
Estimate: 32% of 122
32% is closest to 33 1/3% --> 1/3
122 rounds to 120.
1/3 of 120 is 40.
50% of N is 240
N=480
You are out to dinner with your family and the bill is $45.80. You want to leave the server a 20% tip, how much will your total be? (Remember to round tip to the nearest whole!)
$9 tip, so the total will be 54.80
What is the percent form of 1/5? The decimal?
Percent: 20%
Decimal: 0.2
If I have less than 1% of something, do I have a lot or a little of that thing?
Very little, almost none.
Find 27% of 235
0.27 x 235 = 63.45
18% of N is 36
N=200
How much simple Interest is earned on $470 at 4% for seven years? (I=PRT)
I = $131.60
How do you change a percent to a decimal? To a fraction?
Percent to decimal: Remove the percent sign and move the decimal point two places to the left.
Percent to fraction: Remove the percent sign, place that number over 100 and simplify if possible.
What is 137% as a decimal?
1.37
Estimate 77% of 48
77% is closest to 75% --> 3/4
48 rounds to 50
3/4 of 50 is 37.5
27% of N is 162
N=600
A bicycle shop is selling $500 bikes at 10% off. If the sales tax is 7%, how much will the bike cost?
$481.50
Give the percent and (simplified) fraction of 0.56.
Percent: 56%
Fractions: 14/25
What is 0.0083 as a percent? Fraction?
Percent: 0.83%
Fraction 83/10,000
Find 92% of 35.
0.92 x 35 = 32.2
60% of N is 42
N=70
How much principal must be invested to earn $314.10 in five years at an interest rate of 9%?
P = $698
What is the percent and decimal for 3/4?
Decimal: 0.75
When dealing with a percent greater than 100 or less than 1, does the process for changing the percent to a decimal change? What about change it to a fraction?
Decimal: No, just move it two places to the left.
Fraction: Look at the decimal and pay attention to what place value the last digit is in. That will be the denominator (simplify if possible).
What are the three steps for finding the exact percent of a number?
1. Change percent to a decimal.
2. Multiply decimal by whole number.
3. Put the decimal point into answer.
74% of N is 236.8
N=320
If a loan is taken out for $910 at 7% and costs 509.60, how long was the loan for?
T=8 years