Question

Select each pair of equivalent numbers. 401000 and 40% 65 and 120% 5033 and 117% 18 and 12. 5% 13 and 30%.

Answer 1

The task is to find equivalent numbers where one number in each pair represents the percentage of the other. None of the given pairs (401000 and 40%, 65 and 120%, 5033 and 117%, 18 and 12.5%, 13 and 30%) is equivalent when comparing the decimal conversions of the percentages with the original numbers.

Step-by-step explanation:

When trying to select each pair of equivalent numbers, we are essentially looking for pairs where the second number represents the percentage equivalent of the first. To determine if the pairs are equivalent, we convert the percentages to decimal form by dividing by 100 and then compare the values. For example, 40% as a decimal is 0.40. With this approach, we can analyze each given pair:

• 401,000 and 40% - To determine if these are equivalent, we look at the decimal representation of 40%, which is 0.40. Clearly, 401,000 is not equal to 0.40.
• 65 and 120% - The decimal form of 120% is 1.20. If we interpret 65 as 65.0, we can see that 65.0 is not equal to 1.20.
• 5,033 and 117% - Converting 117% to decimal form gives us 1.17. Therefore, 5,033 is not equal to 1.17.
• 18 and 12.5% - The decimal form of 12.5% is 0.125. So, 18 is not equal to 0.125.
• 13 and 30% - Lastly, converting 30% to a decimal gives us 0.30. Thus, 13 is also not equal to 0.30.

Based on this analysis, none of the given pairs is equivalent.

Answer 2

To determine which pairs of numbers are equivalent, we need to compare them in the same format. The pair that is equivalent is 18 and 12.5%.

Step-by-step explanation:

To determine which pairs of numbers are equivalent, we need to compare them in the same format. Let's convert each pair to a decimal or a percentage:

1. 401000 and 40%, these are not equivalent because 401000 is a decimal and 40% is a percentage.
2. 65 and 120%, these are not equivalent because 65 is a decimal and 120% is a percentage.
3. 5033 and 117%, these are not equivalent because 5033 is a decimal and 117% is a percentage.
4. 18 and 12.5%, these are equivalent because both are decimals.
5. 13 and 30%, these are not equivalent because 13 is a decimal and 30% is a percentage.

Therefore, the pair that is equivalent is 18 and 12.5%.