rates ratios unit rate proportions
DESCRIPTION
Rates Ratios Unit Rate Proportions. A rate is a ratio that compares quantities in different units. To find a rate: Write ratio as a fraction Simplify. Ways to express a rate: 2 to 4 2:4 2 out of 4 2/4 Example of Solving: 2 to 4= 2/4=1/2. Rates. - PowerPoint PPT PresentationTRANSCRIPT
• A rate is a ratio that compares quantities in different units.
• To find a rate:– Write ratio as a
fraction– Simplify
• Ways to express a rate:– 2 to 4– 2:4– 2 out of 4– 2/4
Example of Solving:
2 to 4= 2/4=1/2
• A ratio is a comparison of two quantities by division.
• You can write a ratio in different ways:– Arithmetic– Algebra
• Arithmetic- Ex: 10 to 15, 10:15, 10/15
• Algebra- Ex: a to b, a: b, a/b for
b doesn’t = 0To solve
-Write as a fraction-Simplify
A proportion is an quality of two ratios- for example, 6/9=8/12
To solve:-Write as fraction-Multiply cross products
• Example:
2 16 = 3
4 = 2 4 2
2/6=1/3
• A unit rate is a rate that has a denominator of 1.
• Examples of unit rates include unit prices, gas mileage, and speed
• Examples:
– A sprinter runs 200m in 25s.
– 200m = x m– 25sec. 1 sec.– 200(1)=25(x)– 200= 8m per second
25