Equivalent Forms
Nate ate 2/5 of his sandwich.
Which value is equivalent to 2/5
42%
0.25
0.52
40%
40%
Consider the rational number 7/20.
Convert the given rational number to a decimal.
What is 0.94% written as a decimal?
0.0094
write decimal as a mixed number
-6.38
-6 38/100
or
-6 19/50
Which BEST describes the decimal form of a rational number?
eventually repeats a non-zero digit eventually repeats a non-zero digit
always terminates in 0's always terminates in 0's
either terminates in 0's or repeats either terminates in 0's or repeats
Neither terminates nor repeats
either terminates in 0's or repeats either terminates in 0's or repeats
Which set of numbers are equivalent?
5%, 0.5, 5/100
8%, 0.08, 8/10
10%, 0.1, 10/100
12%, 0.012, 12/100
10%, 0.1, 10/100
What is 0.76, expressed as a simplified fraction?
19/25
In each bag of jelly beans, 7/16 of the jelly beans are red.
What percentage is equivalent to the fraction of red jelly beans in each bag?
43.75%
write decimal as a mixed number
1.55
1 55/100
or
1 11/20
number, which is in the form of p/q where q is not equal to zero.
Which procedure would you use to convert a fraction to a decimal? Convert 7/10 to a decimal.
Which procedure suggested below would you use to convert a fraction to a decimal?
denominator / numerator
What is 0.54, expressed as a simplified fraction?
27/50
Match the percentage with the equal decimal or fraction.
25%
250%
2500%
.25%
2.5%
1/4
5/2
25
1/400
1/40
write as 0.32
32/100
or 8/25
terminating decimal
decimal that does not go on forever
Determine whether each is rational or not rational.
a. −12.161616...
b. 9.0832748175...
c. 49
a. Is −12.161616...
rational or not rational?
rational
There are 0.25 quart in one cup.
Which fraction is equivalent to the number of quarts in one cup?
1/4
What is 8/400 written as a percentage?
Hint: Simplify the fraction.
2%
write the decimal equivalent for 4/ 19.
4.1 repeating
repeating decimal
a decimal that goes on forever
Use the negative fractions −1/5
and -2/3.
a. Find the decimal equivalents for each fraction.
b. Which is a repeating decimal? Which digit is repeating?
A) -0.2
-0.6 (repeating)
B) -2/3
In Mrs. Finkle's dance class, 16% of students will be performing at the Fall Festival.
What fraction of the students in Mrs. Finkle's dance class will be performing at the Fall Festival?
1/16
Grandma Rose planted tomatoes in 3/8 of her vegetable garden.
What percentage is equivalent to the fraction of the vegetable garden that are tomatoes?
37.5%
write each decimal as a mixed number or fraction
8.465
-0.68
-17/25
how are rational numbers written in different forms ?
the decomal form of a rational number must terminate or repeat. a decimal can also be written as a mixed number or fraction