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Explanation The given question asks to evaluate the numbers .0408 and 0.0408. The answer is .0408 and 0.0408 because these numbers are already in decimal form and do not require any further simplification or conversion.
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2.
Evaluate
Correct Answer 250 250. 250.0
Explanation The given answer includes three values: 250, 250., and 250.0. These values are all equivalent and represent the number 250. The first value, 250, is an integer. The second value, 250., is a floating-point number with a decimal point but no digits after it. The third value, 250.0, is also a floating-point number but with one digit after the decimal point. All three values represent the same numerical quantity of 250.
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3.
If 54321 x 9876 = 536474196, what does 54.321 x 987.6 equal?
A.
53647419.6
B.
5364741.96
C.
536474.196
D.
53647.4196
Correct Answer
D. 53647.4196
Explanation The given question asks to find the product of 54.321 and 987.6. To solve this, we can multiply the whole numbers first, which gives us 53,647. Then, we calculate the decimal places by multiplying 0.321 and 0.6, which gives us 0.1926. Combining the whole number and decimal places, we get the final answer of 53,647.4196.
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4.
One cubic foot of water weighs about 62.4 pounds. If a plastic kiddie pool can hold 6.15 cubic feet of water, which of the following is a correct equation for the weight of the water when the pool is full?
A.
62.4 x 6.15 = 38.376 pounds
B.
62.4 x 6.15 = 383.76 pounds
C.
62.4 ÷ 6.15 = 10.15 pounds
D.
62.4 ÷ 6.15 = 101.5 pounds
Correct Answer
A. 62.4 x 6.15 = 38.376 pounds
Explanation The correct equation for the weight of the water when the pool is full is 62.4 x 6.15 = 38.376 pounds. This equation calculates the weight of one cubic foot of water (62.4 pounds) multiplied by the volume of water the pool can hold (6.15 cubic feet), resulting in the total weight of the water in the pool.
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5.
A board that is 96 inches long is to be cut into pieces that are 10.5 inches long. Which of the following is a correct calculation for how many boards 10.5 inch boards can be cut from the 96-inch board?
A.
96 x 10.5 = 100.8, so 100 boards
B.
96 x 10.5 = 10.08, so 10 boards
C.
96 ÷ 10.5 = 9.143, so 9 boards
D.
96 ÷ 10.5 = 0.9143, so almost 1 board
Correct Answer
C. 96 ÷ 10.5 = 9.143, so 9 boards
Explanation The correct calculation for how many boards can be cut from the 96-inch board is 96 ÷ 10.5 = 9.143, so 9 boards. This calculation involves dividing the length of the board (96 inches) by the length of each piece (10.5 inches) to determine how many complete pieces can be obtained. In this case, it is determined that 9 complete boards can be cut from the 96-inch board.
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6.
The International Basketball Federation specifies that for a new basketball to be “certified”, it must bounce back at least 0.722 times the height from which it was dropped. If a ball is dropped from a height of 70.9 in, which of the following is a correct calculation for how high it must bounce to be certified?
A.
70.9 x 0.722 = 51.1898 inches
B.
70.9 x 0.722 = 51189.8 inches
C.
70.9 ÷ 0.722 = 981.994 inches
D.
70.9 ÷ 0.722 = 98.1994 inches
Correct Answer
A. 70.9 x 0.722 = 51.1898 inches
Explanation The correct calculation for how high the ball must bounce to be certified is 70.9 x 0.722 = 51.1898 inches. This calculation follows the specified requirement from the International Basketball Federation that the ball must bounce back at least 0.722 times the height from which it was dropped.
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7.
The Martinez family drove 32.4 miles to the river. It took them 0.6 hours to get there. How fast did they drive?
Correct Answer 54 54. 54.0
Explanation The speed at which the Martinez family drove can be calculated by dividing the distance they traveled (32.4 miles) by the time it took them to get there (0.6 hours). The result of this calculation is 54 miles per hour.
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8.
Nikki is buying some refrigerator magnets for her friends. Her total bill is $16.80. If magnets are $0.80 each, how many magnets is she buying?
Correct Answer 21 21. 21.0
Explanation The total bill is $16.80 and each magnet costs $0.80. To find out how many magnets Nikki is buying, we need to divide the total bill by the cost of each magnet. $16.80 divided by $0.80 equals 21. Therefore, Nikki is buying 21 magnets.
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