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Convert the percentage to a decimal: 126% =
- A. 126
- B. 0.0126
- C. 0.126
- D. 1.26
Correct Answer: D
Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. Therefore, 126% = 1.26 as a decimal. When you see 126%, it signifies having 126 parts out of 100, which is equivalent to 1.26 as a decimal. Remember that percentages represent parts out of 100, so converting to a decimal entails dividing by 100, resulting in the shift of the decimal point two places to the left.
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What is the sum of the following numbers with all decimal places reported: 3.7 + 7.289 + 4 = ?
- A. 14.989
- B. 5.226
- C. 15
- D. 15.07
Correct Answer: A
Rationale: To find the sum, add the numbers together: 3.7 + 7.289 + 4 = 14.989. The correct answer is A, 14.989, as it accurately represents the sum of the given decimal numbers with all decimal places reported. Remember to sum up each digit correctly and include all decimal places in your final answer for accurate calculations. In this case, it is essential to maintain the precision of the decimal places provided for each number to ensure the accuracy of the final result. Adding the numbers correctly while considering the decimal places is crucial to obtaining the correct sum.
What is the result of multiplying 375 by 2.3?
- A. 862.5
- B. 750
- C. 225.75
- D. 1125
Correct Answer: A
Rationale: To find the result of multiplying 375 by 2.3, you need to multiply the two numbers together. Multiplying 375 by 2.3 is calculated as 375 x 2.3 = 862.5. Therefore, the correct answer is A, which is 862.5.
Which of the following decimals is the largest?
- A. 0.6
- B. 0.667
- C. 0.0688
- D. 0.68
Correct Answer: D
Rationale: To determine the largest decimal among the options, you need to compare them by looking at the digits after the decimal point. When comparing 0.6, 0.667, 0.0688, and 0.68, consider that 0.6 is equivalent to 0.600, 0.667 remains 0.667, 0.0688 is already in its most precise form, and 0.68 is the same as 0.680. By comparing them, you can see that 0.68 is the largest decimal among the options provided. Remember, when comparing decimals, it's important to line up the decimal points to make accurate comparisons.
Seven girls each have seven cats. How many legs are there in the group?
- A. 210
- B. 63
- C. 186
- D. 49
Correct Answer: A
Rationale: To find the total number of legs, we multiply the number of girls by the number of legs each girl and cat has. 7 girls x (2 legs per girl + 4 legs per cat) x 7 cats = 7 x (2+4) x 7 = 7 x 6 x 7 = 210 legs.
Choice A is correct because it correctly calculates the total number of legs.
Choice B is incorrect as it only considers the girls' legs.
Choice C is incorrect as it does not account for the cats' legs.
Choice D is incorrect as it only considers the number of cats.
Subtract 3/5 - 2/7 =
- A. 1/2
- B. 3/35
- C. -1/2
- D. 11/35
Correct Answer: D
Rationale: To subtract fractions, you need a common denominator. In this case, the common denominator of 5 and 7 is 35. Rewrite the fractions with the common denominator: 3/5 = 21/35 and 2/7 = 10/35. Subtract: 21/35 - 10/35 = 11/35. Therefore, the correct answer is D, 11/35. Remember, when subtracting fractions, always ensure to find a common denominator to perform the operation accurately.