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Add: 5 1/3 + 3 1/2 =
- A. 8 2/6
- B. 9 1/4
- C. 8 2/5
- D. 8 5/6
Correct Answer: D
Rationale: To solve this problem, first convert the mixed numbers to improper fractions. 5 1/3 is equal to 16/3, and 3 1/2 is equal to 7/2. Next, find a common denominator, which in this case is 6. Convert 16/3 to 32/6 and 7/2 to 21/6. Add these fractions together: 32/6 + 21/6 = 53/6. Finally, simplify 53/6 to the mixed number 8 5/6. Therefore, the correct answer is D) 8 5/6.
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Add: 11,702 + 11,509 =
- A. 23,201
- B. 22,201
- C. 23,211
- D. 22,211
Correct Answer: C
Rationale: The correct answer is C (23,211). To arrive at this answer, you add the two numbers together: 11,702 + 11,509 = 23,211. This is correct because when adding numbers, you add the digits in the same place value position, carrying over when the sum exceeds 9.
Explanation:
1. Add the ones place: 2 + 9 = 11 (write down 1, carry over 1).
2. Add the tens place: 0 + 0 (from the carried-over 1) + 0 = 0 (write down 0, no carry over).
3. Add the hundreds place: 7 + 5 (from the carried-over 1) = 12 (write down 2, carry over 1).
4. Add the thousands place: 1 + 1 (from the carried-over 1) + 1 = 3 (write down 3).
Therefore,
What is the result of adding 9.98 and 0.065?
- A. 10.63
- B. 10.045
- C. 1.0063
- D. 998.065
Correct Answer: B
Rationale: To find the sum of 9.98 and 0.065, you align the decimal points and add the numbers as you would with whole numbers: 9.98 + 0.065 = 10.045. Therefore, the correct answer is B, which is 10.045. When adding decimal numbers, it's essential to keep the decimal points aligned to ensure an accurate sum. In this case, the sum is 10.045.
Solve for x: x/250 = 3/500
- A. 1.5
- B. 25.5
- C. 1500
- D. 2.5
Correct Answer: A
Rationale: To solve for x in the equation x/250 = 3/500, cross multiply to get x = (250 * 3) / 500. First, calculate the numerator, which is 750. Then, divide 750 by 500 to find x. Therefore, x = 1.5. Thus, the correct answer is A: 1.5.
Convert the percentage to a decimal: 38% =
- A. 3.8
- B. 0.038
- C. 38
- D. 0.38
Correct Answer: D
Rationale: To convert a percentage to a decimal, you divide by 100. In this case, 38% is equal to 38/100 = 0.38 when converted to a decimal. Therefore, the correct answer is D.
Evaluate ab^2-ac if a=c, b=-4, and c=-5
- A. 56
- B. 105
- C. -23
- D. -5
Correct Answer: B
Rationale: To evaluate the expression "ab^2 - ac", substitute the values into the expression. Thus, "ab^2 - ac" becomes "(-5)(-4)^2 - (-5)(-5)", which simplifies to "(-5)(16) - 25 = -80 - 25 = -105". Therefore, the evaluated expression is -105.