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Convert 0.60 to a ratio in simplest form.
- A. 3:5
- B. 2:50
- C. 2:6
- D. 1:6
Correct Answer: A
Rationale: To convert 0.60 to a ratio, start by expressing it as a fraction: 0.60 = 60/100. Then simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 20 in this case. Dividing 60 by 20 gives 3, and dividing 100 by 20 gives 5. Therefore, the simplified fraction is 3/5, which translates to the ratio 3:5 in simplest form.
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Express 0.608 as a percent.
- A. 6.08%
- B. 0.61%
- C. 608%
- D. 60.80%
Correct Answer: D
Rationale: To convert a decimal to a percent, multiply by 100. Therefore, 0.608 — 100 = 60.8%. Thus, the correct answer is D) 60.80%.
Add: 11,702 + 11,509 =
- A. 23,201
- B. 22,201
- C. 23,211
- D. 22,211
Correct Answer: C
Rationale: The correct answer is C (23,211). To arrive at this answer, you add the two numbers together: 11,702 + 11,509 = 23,211. This is correct because when adding numbers, you add the digits in the same place value position, carrying over when the sum exceeds 9.
Explanation:
1. Add the ones place: 2 + 9 = 11 (write down 1, carry over 1).
2. Add the tens place: 0 + 0 (from the carried-over 1) + 0 = 0 (write down 0, no carry over).
3. Add the hundreds place: 7 + 5 (from the carried-over 1) = 12 (write down 2, carry over 1).
4. Add the thousands place: 1 + 1 (from the carried-over 1) + 1 = 3 (write down 3).
Therefore,
Calculate the product: (99)(0.56) =
- A. 99.3
- B. 99.56
- C. 55.44
- D. 199.54
Correct Answer: C
Rationale: To multiply decimals, multiply the numbers as if they were whole numbers and then place the decimal point in the product. In this case, (99)(0.56) = 55.44. To find the product, multiply 99 by 0.56, which equals 55.44. Therefore, the correct answer is 55.44, as shown in choice C. Hence, choice C, 55.44, is the correct answer.
Subtract 7 7/10 - 3 4/5 =
- A. 4 1/10
- B. 11 1/2
- C. 4 3/5
- D. 3 9/10
Correct Answer: D
Rationale: To subtract mixed numbers, you need to convert them to improper fractions. So, 7 7/10 = 77/10 and 3 4/5 = 19/5. Subtracting these fractions, you get 77/10 - 19/5 = 77/10 - 38/10 = 39/10. Converting 39/10 back to a mixed number, you get 3 & 9/10, which is the correct answer.
How many cakes are needed to provide 24 servings for a class of 70 students and 3 staff members?
- A. 4
- B. 2
- C. 3
- D. 5
Correct Answer: A
Rationale: To calculate the total number of servings needed, we add the number of students and staff members: 70 students + 3 staff members = 73 individuals. Next, we divide the total servings required by the servings per cake: 73 · 24 = 3 with a remainder of 1. Since each cake provides 24 servings, we need 4 cakes to accommodate 73 servings, ensuring there are enough servings for everyone in the class.