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Multiply: 32 5 and express the result in decimal form.
- A. 0.0016
- B. 0.016
- C. 0.16
- D. 1.6
Correct Answer: D
Rationale: To find the product of 32 and 5, you simply multiply the two numbers: 32 5 = 160. Therefore, when expressed in decimal form, the answer is 1.6. Choices A, B, and C are incorrect as they do not represent the correct multiplication result in decimal form. Choice A is way too small, choice B is also too small, and choice C is close but still not the correct result.
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Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?
- A. (2 + 3)^2
- B. 5 x 7 + 2
- C. 10^2 - 4^2
- D. (8 - 1) x 3
Correct Answer: C
Rationale: To find the largest positive number among the expressions, we evaluate each one:
A) (2 + 3)^2 = 5^2 = 25
B) 5 x 7 + 2 = 35 + 2 = 37
C) 10^2 - 4^2 = 100 - 16 = 84
D) (8 - 1) x 3 = 7 x 3 = 21
Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.
What is the result of multiplying 8 by 2?
- A. 16
- B. 22
- C. 24
- D. 32
Correct Answer: A
Rationale: The correct answer is A: 16. When you multiply 8 by 2, the result is 16. Choice B (22), Choice C (24), and Choice D (32) are incorrect as they do not represent the correct multiplication of 8 by 2.
A scientific illustrator uses a scale of 3:1 for drawings of insects. If the length of a cicada in the drawing is 6 centimeters, how long is the actual cicada in real life?
- A. 18 centimeters
- B. 6.3 centimeters
- C. 4.6 centimeters
- D. 4.2 centimeters
Correct Answer: A
Rationale: The scale of 3:1 means that for every 3 centimeters in the drawing, it represents 1 centimeter in real life. If the length of the cicada in the drawing is 6 centimeters, in real life, it would be 6 x 3 = 18 centimeters long. Therefore, the actual length of the cicada in real life is 18 centimeters. Choice B, 6.3 centimeters, is incorrect because it does not account for the scale factor. Choices C and D, 4.6 centimeters and 4.2 centimeters respectively, are also incorrect as they do not consider the 3:1 scale used in the drawing.
If the total cost of his purchase was $9.38 and he gave the cashier $20, how much change did he receive?
- A. $0.62
- B. $5.02
- C. $9.38
- D. $10.62
Correct Answer: D
Rationale: To determine the amount of change received, you need to subtract the total cost from the amount given. $20 - $9.38 = $10.62. Therefore, he received $10.62 in change. Option A ($0.62) is incorrect as it is the difference in cents, not dollars. Option B ($5.02) is incorrect as it does not reflect the correct subtraction. Option C ($9.38) is incorrect as it represents the total cost of the purchase, not the change received.
Chun Mei earns a 5% commission on each appliance she sells. If she sells a washer for $749 and a dryer for $689, what will her commission be?
- A. $37.45
- B. $71.90
- C. $149.80
- D. $287.60
Correct Answer: B
Rationale: To calculate Chun Mei's commission, we first find the total sales amount by adding the prices of the washer and dryer: $749 + $689 = $1438. Next, we calculate her 5% commission on this total sales amount: 0.05 * $1438 = $71.90. Therefore, Chun Mei's commission for selling both appliances will be $71.90. Choice B, $71.90, is the correct answer. Choices A, C, and D are incorrect as they do not reflect the accurate calculation of Chun Mei's commission based on the given scenario.