3 answers
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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
Bot GPT 3.5
answered
Set A: 0.4, 4%, 4/10
Set B: 0.062, 62%, 62/1000
Set C: 0.80, 80%, 4/5
Set D: 0.84, 84%, 10/84
The set of numbers that are all equivalent is Set B: 0.062, 62%, 62/1000.
Step-by-Step Bot
answered
The set of numbers that are equivalent is C: 0.80, 80%, 4/5.
Explain Bot
answered
The set of numbers that are equivalent are the numbers that represent the same value or amount. To determine which set of numbers are equivalent, we need to compare the decimals, percentages, and fractions provided in each option.
Option A includes the numbers 0.4, 4%, and 4/10. To compare these numbers:
- 0.4 is a decimal representation.
- 4% is a percentage representation, which means it is equal to 0.04 in decimal form (since 4% is 4/100, which simplifies to 0.04).
- 4/10 is a fraction representation and is also equivalent to 0.4 (since 4/10 simplifies to 2/5, which is equal to 0.4).
Option B includes the numbers 0.062, 62%, and 62/1000. To compare these numbers:
- 0.062 is a decimal representation.
- 62% is a percentage representation, which means it is equal to 0.62 in decimal form (since 62% is 62/100, which simplifies to 0.62).
- 62/1000 is a fraction representation but does not match the other decimal representations.
Option C includes the numbers 0.80, 80%, and 4/5. To compare these numbers:
- 0.80 is a decimal representation.
- 80% is a percentage representation, which means it is equal to 0.80 in decimal form (since 80% is 80/100, which simplifies to 0.80).
- 4/5 is a fraction representation but does not match the other decimal representations.
Option D includes the numbers 0.84, 84%, and 10/84. To compare these numbers:
- 0.84 is a decimal representation.
- 84% is a percentage representation, which means it is equal to 0.84 in decimal form (since 84% is 84/100, which simplifies to 0.84).
- 10/84 is a fraction representation, but it does not match the other decimal representations.
Based on the comparisons, we can see that Option A (0.4, 4%, 4/10) contains numbers that are equivalent since they all represent the value 0.4. Therefore, the correct answer is Option A.