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What is the result of dividing 0.9 by 3?
- A. 3
- B. 30
- C. 0.3
- D. 0.9
Correct Answer: C
Rationale: When dividing 0.9 by 3, you perform the operation 0.9 · 3, which equals 0.3. Dividing a number by another number means finding how many times the divisor can fit into the dividend. In this case, 3 can fit into 0.9 a total of 0.3 times, resulting in the answer of 0.3.
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After spending $75.64 at one store and $22.43 at the next store, how much money does a shopper who started with $100.00 have left?
- A. $1.93
- B. $5.00
- C. $0.72
- D. $20.13
Correct Answer: A
Rationale: To determine the remaining amount of money the shopper has, subtract the total spent ($75.64 + $22.43) from the initial amount of $100.00: $100.00 - $75.64 - $22.43 = $1.93. Therefore, the correct answer is A, $1.93, which represents the money left after the shopper's purchases. This calculation ensures that the shopper's expenses are subtracted accurately from the starting amount, providing the correct remaining balance.
If the quotient is 4 and the dividend is 12, what is the divisor?
- A. X
- B. 4
- C. 3
- D. 12
Correct Answer: C
Rationale: To find the divisor in a division problem, you can use the formula: Dividend = Divisor x Quotient. In this case, the dividend is 12, and the quotient is 4. You can set up the equation as 12 = Divisor x 4. To isolate the divisor, you divide the dividend by the quotient. Divisor = Dividend / Quotient = 12 / 4 = 3. Therefore, the correct answer is 3. Dividing 12 by 4 gives you the divisor, which is 3. So, 3, when multiplied by the quotient of 4, equals the dividend of 12.
Calculate the product: (99)(0.56) =
- A. 99.3
- B. 99.56
- C. 55.44
- D. 199.54
Correct Answer: C
Rationale: To multiply decimals, multiply the numbers as if they were whole numbers and then place the decimal point in the product. In this case, (99)(0.56) = 55.44. To find the product, multiply 99 by 0.56, which equals 55.44. Therefore, the correct answer is 55.44, as shown in choice C. Hence, choice C, 55.44, is the correct answer.
If the quotient of X and 12 is 4, what is the divisor?
- A. X+12
- B. X-12
- C. 4
- D. 3
Correct Answer: C
Rationale: To find the divisor when the quotient of X and 12 is 4, we use the formula for division: Dividend = Divisor x Quotient. Given that the quotient is 4 and Dividend = X, we have X = 12 x 4 = 48. Therefore, the divisor is the number that, when multiplied by 4, equals 48, which is 12. So, the correct answer is C: 4.
Choice A (X+12) is incorrect because it represents adding X and 12 together, not the divisor.
Choice B (X-12) is incorrect because it represents subtracting 12 from X, not the divisor.
Choice D (3) is incorrect because it is not related to the given information about X and the quotient being 4.
Multiply and reduce to lowest term: (2 x 5/8)
- A. 3\4
- B. 10\8
- C. 5\8
- D. 1 1/4
Correct Answer: D
Rationale: To multiply (2 x 5/8), first multiply the whole number 2 by the numerator 5 to get 10. Then, multiply the result by the denominator 8 to get 10/8. Simplify 10/8 to 1 1/4 by dividing the numerator by the denominator, resulting in 1 whole and 1/4 left over. Therefore, the correct answer is D.
Choice A (3/4) is incorrect because the multiplication result is not 3/4. Choice B (10/8) is incorrect as it represents the result before reducing to lowest terms. Choice C (5/8) is incorrect as it only represents the initial fraction being multiplied, not the final result after multiplication and simplification.