Change 0.004 to a ratio.
- A. 3:5
- B. 4/1000
- C. 1:250
- D. 2/500
Correct Answer: C
Rationale: To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.
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How many shipping labels are needed each day if 9 boxes are shipped, with each box requiring 3 shipping labels?
- A. 7
- B. 3
- C. 27
- D. 24
Correct Answer: C
Rationale: To find the total number of shipping labels required, multiply the number of boxes by the number of shipping labels per box. With 9 boxes shipped and 3 shipping labels needed per box, the calculation is: 9 boxes x 3 labels per box = 27 shipping labels needed each day. Therefore, the correct answer is C, as a total of 27 shipping labels are required daily.
Calculate the product: (7.2)(0.34) =
- A. 14.12
- B. 0.234
- C. 7.64
- D. 2.448
Correct Answer: D
Rationale: When multiplying decimals, treat the numbers as whole numbers and then position the decimal point in the product so that it has the same total number of decimal places as the numbers being multiplied. In this case, multiplying 7.2 by 0.34 results in 2.448.
Ratio and Proportion 15:1000::x:100 = ?
- A. 1.5
- B. 2
- C. 1
- D. 1.2
Correct Answer: C
Rationale: To solve this proportion, set up the equation: 15/1000 = x/100. Cross multiply to get 15 * 100 = 1000 * x. Simplifying gives x = 1. Therefore, the correct answer is 1. The ratio 15:1000 is equivalent to the ratio 1:67. By setting up the proportion, we find that x = 1, making Option C the correct answer. This question assesses your understanding of ratios and proportions. Remember, when solving proportions, cross multiplication is a useful method to find the unknown value. In this case, the proportion is between 15 and 1000 in the first set, and x and 100 in the second set. By applying the cross multiplication method, you can determine that x equals 1, making Option C the correct answer.
After spending $75.64 at one store and $22.43 at the next store, how much money does the shopper have left if they started with $100.00?
- A. $1.93
- B. $5.00
- C. $0.72
- D. $20.13
Correct Answer: A
Rationale: To find out how much money the shopper has left, you need to add the total spent at both stores: $75.64 + $22.43 = $98.07. Next, subtract this total from the initial amount of $100.00: $100.00 - $98.07 = $1.93. Therefore, the shopper has $1.93 remaining after shopping at both stores. This calculation accurately determines the correct amount of money left after the purchases, making choice A the right answer.
What is the result of subtracting 10.012 by 0.120?
- A. 10
- B. 9.012
- C. 10.122
- D. 9.892
Correct Answer: D
Rationale: When subtracting decimal numbers, it is essential to align the decimal points and subtract each place value. In this case, subtracting 0.120 from 10.012 results in 9.892 (D) as the correct answer. The accurate calculation is 10.012 - 0.120 = 9.892.
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