%s , Decimals, Fractions
You already know what I'm going to ask you.
What is it?
A % is a rate in which the first number is compare to 100. The percent is number of hundredths that represent the part of the whole.
Write .45% as a decimal and as a fraction in simplest form.
0.0045 & 9/20
USE ESTIMATION & COMPATIABLE NUMBERS
62% of students ate chocolate at the school on Valentine's day, and there are 513 total students at school. ABOUT how many students at chocolate on Valentine's day?
62% = 60% = 3/5
513 =500
3/5(500)= 1500/5 = About 300 Students at chocolate.
What percent of 100 is 53?
53%
5% of what number is 10?
100/0.05 = 200
Which of the following are equivalent to 25%?
0.25, 0.025, 2/5, 1/4, 2500/10000
0.25, 1/4, 2500/10000
Which of the following are equivalent to 275%?
27.5, .275, 2.75, 2 3/5, 2 3/4, 9/4, 11/4
2.75, 2 3/4, 11/4
If 62% of students ate chocolate and there are 513 students, what is the exact number of students who at chocolate? (round to the nearest person)
0.62 (513)= 318 Students
What percent of 25 is 3?
12%
256% of what number is 1280?
1280/2.56 = 500
If you were given the problem 53% of 6523. How could use an estimate to help you solve this problem?
50% of 6500 = 3250
If I have a pizza cut into 10 slices, and I take one of those slices and cut it in half. What percentage of pizza did I just take? What benchmark fraction would represent this?
1/20 of pizza taken or 5%?
Original slice = 10% of whole pizza or 1/10
Cutting slice in half makes this 1/20 or 5%.
Write the equation you would use to find the part, given the whole and the %.
What is 14% of 567.4?
Y = %(W)
Y is the part
% is %
W is the whole
0.14(567.4) = Y (the part)
Write the equation you would use to find the % given the whole and the part.
What percent of 8.77 is 0.99?
%(W) = Y
%=Y/W
0.99/8.77
Write the equation you would use to find the whole, given the part and the %.
3% of what number is 16?
% (W) = Y
W = Y/%
0.03(w)=16
w=16/0.03 = 566
Which is larger?
4/10 OR 5/100
4/10 = 40%
because
5/100 = 5%
What is 872% written as a fraction in simplest form?
Give mixed number and improper fractions.
872/100 DIVIDE BY 4 =
218/25
8 18/25
What is 680% of 50?
6.8(50) = 340
What percent of 150 is 29?
29/150 = 19.3%
Minecraft is on sale for 40% off. The sale price is $12, what was the original price? How much $ did I save?
2/5 (Y) = 8
Y = 8(5/2) = 40/2 = $20
$20 original price.
Y= 8/.4 = 20
$8 saved
How can you use benchmark fractions to help you solve percentage problems?
If I know that a % is equivalent to a benchmark fraction; I can use this in place of the decimal form to solve equations. I can use that fraction and multiply this with the whole to find the part of the whole.
25% of 150
25% = 1/4
1/4(150)= 150/4 = 37.5
Would be the same as doing:
.25(150) = 37.5
What is 0.025% written as a fraction in simplest form?
0.025% = 0.00025 = 25/100000 = 1/4000
What is 0.15% of 67?
0.1005
A box of unopened baseball cards from 1975 is on sale for $3,300, and the original price was $6000. What % did I save?
55%
I bought a new engine and it was 62% off. The sale price was $2,000. What was the original price, and how much did I pay? Round to the nearest penny.
2000/0.62=
Original price-$3,225.813225.81 - 2000 = $1225.81 Saved.