Which set of numbers are equivalent?
Responses
a. 0.4, 4%, 4/10
b. 0.062, 62%, 62/1000
c. 0.80, 80%, 4/5
d. 0.84, 84%, 10/84
c. 0.80, 80%, 4/5
The set of numbers that are equivalent is:
c. 0.80, 80%, 4/5
All three numbers in this set represent the same value expressed in different forms.
The set of numbers that are equivalent are a. 0.4, 4%, 4/10.
To determine if the sets of numbers are equivalent, we need to convert each number to a common form (decimal, percent, or fraction) and compare them.
For option a, we have:
- 0.4 as a decimal
- 4% as a percent (4% is equivalent to 4/100, which simplifies to 4/10 as a fraction)
For option b, we have:
- 0.062 as a decimal
- 62% as a percent (62% is equivalent to 62/100 as a fraction)
For option c, we have:
- 0.80 as a decimal
- 80% as a percent (80% is equivalent to 80/100, which simplifies to 4/5 as a fraction)
For option d, we have:
- 0.84 as a decimal
- 84% as a percent (84% is equivalent to 84/100 as a fraction)
- 10/84 as a fraction
Comparing the sets of numbers, we can see that option a has numbers that are equivalent in all three forms: decimal, percent, and fraction. Therefore, the correct answer is a. 0.4, 4%, 4/10.