Multiply: (99)(0.56) =
- A. 54.44
- B. 56.44
- C. 55.44
- D. 57.44
Correct Answer: A
Rationale: To multiply decimals, first ignore the decimal points and multiply the numbers as whole numbers. Then, count the total number of decimal places in both factors (2 in this case) and place the decimal point in the product so that it has the same total number of decimal places. Therefore, (99)(0.56) = 5544. After placing the decimal point, the answer is 54.44. Therefore, the correct answer is A: 54.44.
You may also like to solve these questions
Convert 7 3/8 to a decimal.
- A. 7.38
- B. 7.375
- C. 7.357
- D. 7.35
Correct Answer: B
Rationale: To convert 7 3/8 to a decimal, first convert the mixed number to an improper fraction: 7 * 8 + 3 = 59/8. Next, divide the numerator by the denominator: 59 ÷ 8 = 7.375. Therefore, the correct answer is B: 7.375.
Explanation:
A: 7.38 - Incorrect, as the fraction 3/8 is equal to 0.375, not 0.38.
C: 7.357 - Incorrect, as this is not the correct decimal equivalent of 7 3/8.
D: 7.35 - Incorrect, as this does not accurately represent the value of 7 3/8.
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.
A mother is planning a birthday party for her son and she wants to give each child 15 balloons. There are 50 balloons in each packet she purchases. How many packets of balloons does she need to purchase for a party of 16 children?
- A. 50
- B. 6
- C. 5
- D. 17
Correct Answer: C
Rationale: First, calculate the total number of balloons needed: 15 balloons/child * 16 children = 240 balloons. Next, divide by the number of balloons per packet: 240/50 = 4.8 packets. Since she cannot purchase a fraction of a packet, she needs to round up to the nearest whole number. Therefore, she needs to purchase 5 packets to have enough balloons for the party. Hence, the correct answer is C) 5.
An adult female states she weighs 55. What measurement is she describing?
- A. Pounds
- B. Ounces
- C. Kilograms
- D. Grams
Correct Answer: C
Rationale: When an adult states their weight as a whole number without a specified unit, it is commonly understood to be in kilograms. In this case, the adult female stating she weighs 55 is most likely referring to 55 kilograms. Therefore, the correct answer is C) Kilograms.
Find x. 120:x::40:0.5 =
- A. 16
- B. 0.167
- C. 60
- D. 1.5
Correct Answer: D
Rationale: To solve this proportion, set up the equation: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40 * x. Simplify to 60 = 40x. Divide by 40 to solve for x, which gives x = 1.5. Therefore, the correct answer is 1.5. In this proportion, the first ratio represents 120:x, and the second ratio represents 40:0.5. By solving for x, we find that x is equal to 1.5, making choice D the correct answer.
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