Answer :
Final answer:
The question asks to find equivalent expressions to 8% of 94. The correct answers are Choice B (0.08 × 94) and Choice E (8/100 × 94), as both reflect the correct conversion of 8% into a decimal and fraction, respectively, and then multiply them by 94.
Explanation:
The student is asking which of the following options have the same value as 8% of 94. Percent means per hundred, so 8% is the same as 8 out of 100 or 8/100. To convert a percent to a decimal, you move the decimal point two places to the left, thus 8% is 0.08 in decimal form. Now let's multiply that by 94 to find the same value.
(Choice A) 0.8 × 94 is incorrect because 0.8 is 80% as a decimal, not 8%.
(Choice B) 0.08 × 94 is correct because 0.08 is the decimal equivalent of 8%, and when multiplied by 94, it gives the value of 8% of 94.
(Choice C) 800 × 94 is incorrect because 800 is vastly greater than 8 or 8%.
(Choice D) 8 × 94 is incorrect because it is simply 8 times 94 without converting 8 into a percent or decimal.
(Choice E) 8/100 × 94 is correct because it represents 8 per cent (or 8/100) of 94.
Therefore, the correct answers that have the same value as 8% of 94 are Choices B and E.
