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What is 6.4% of 32 rounded to the tenths place?
- A. 1.8
- B. 2.1
- C. 2.6
- D. 2
Correct Answer: D
Rationale: To find 6.4% of 32, first convert 6.4% to a decimal by dividing 6.4 by 100, which equals 0.064. Then, multiply this decimal by 32 to get the result, which is 2.048. Rounding this to the tenths place gives you 2.0 as the correct answer. When rounding to the tenths place, you look at the digit immediately to the right of the tenths place. In this case, it's 4. Since 4 is less than 5, the tenths place remains the same, resulting in the final answer of 2.0.
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If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
- A. 6
- B. 5.5
- C. 5
- D. 4.5
Correct Answer: A
Rationale: To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.
What is the result of adding 6, 12.55, and 5.022 together?
- A. 18.55
- B. 23.572
- C. 30.025
- D. 16.575
Correct Answer: B
Rationale: To find the sum of 6, 12.55, and 5.022, you need to add them together. First, add 6 + 12.55 to get 18.55. Then, add 18.55 + 5.022 to get the final result. 18.55 + 5.022 equals 23.572. Therefore, the correct answer is 23.572, as it represents the sum of all three numbers.
Calculate the product: (88)(7.08) =
- A. 862.5
- B. 88.04
- C. 64.252
- D. 623.04
Correct Answer: D
Rationale: To find the product of two numbers, you multiply them together. In this case, (88)(7.08) equals 623.04. To calculate this, you multiply 88 by 7.08. This results in 623.04. Therefore, the correct answer is D, 623.04.
What is the result of the subtraction: 28.19 - 9 = ?
- A. 28.1
- B. 18.19
- C. 27.29
- D. 19.19
Correct Answer: D
Rationale: To find the result of 28.19 - 9, align the decimal points and subtract each place value accordingly. Subtracting 9 from 28.19 results in 19.19. In this calculation, when subtracting 9 from 19 in the tenths place, 1 remains in the tenths place. Subtracting 0 from 8 in the ones place gives 8. Therefore, the correct answer is 19.19. It's crucial to maintain the alignment of decimal points while performing arithmetic operations involving decimals to ensure accuracy.
How far does a runner run (in kilometers) in a 1,000-meter race?
- A. 1 km
- B. 0.10 km
- C. 3 km
- D. 1/2 km
Correct Answer: A
Rationale: Correct Answer: A (1 km)
Rationale:
1. 1 km = 1000 meters, so a runner runs 1000 meters in a 1000-meter race.
2. Kilometers are a larger unit than meters, so converting 1000 meters to kilometers gives 1 km.
Summary:
- Choice B (0.10 km) is incorrect as it is equivalent to 100 meters, not 1000 meters.
- Choice C (3 km) is incorrect as it is too far, the race is only 1000 meters.
- Choice D (1/2 km) is incorrect as it is only 500 meters, not the full distance of 1000 meters in the race.