Of the numbers listed above, which number is the greatest? The numbers are 2/3, -0.7, -1.3, and -4/3.
- A. 2/3 (0.67)
- B. -0.7 (-0.7)
- C. -1.3 (-1.3)
- D. -4/3 (-1.33)
Correct Answer: A
Rationale: To compare these numbers, convert them to a common form. 2/3 is equivalent to approximately 0.67. -0.7, -1.3, and -4/3 are negative numbers. Among these choices, 2/3 (0.67) is the only positive number, making it greater than all the negative numbers (-0.7, -1.3, -4/3). Therefore, 2/3 is the greatest number among the options provided.
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2.50 × 0.25 Simplify the expression above. Which of the following is correct?
- A. 6.25
- B. 0.0625
- C. 6.025
- D. 0.625
Correct Answer: D
Rationale: Multiplying 2.50 by 0.25 gives 0.625.
A gumball machine contains red, orange, yellow, green, and blue gumballs. Twenty percent of the gumballs are red, 30% are orange, 5% are yellow, 10% are green, and the rest are blue. If there are a total of 120 gumballs, how many more blue gumballs are there than yellow gumballs?
- A. 48
- B. 36
- C. 30
- D. 42
Correct Answer: B
Rationale: First, calculate the number of gumballs of each color: Red = 0.20 x 120 = 24 gumballs, Orange = 0.30 x 120 = 36 gumballs, Yellow = 0.05 x 120 = 6 gumballs, Green = 0.10 x 120 = 12 gumballs. The total number of gumballs of the mentioned colors is 24 + 36 + 6 + 12 = 78 gumballs. Therefore, the number of blue gumballs is 120 - 78 = 42 gumballs. To find the difference between the number of blue and yellow gumballs, subtract the number of yellow gumballs from the number of blue gumballs: 42 - 6 = 36. Therefore, there are 36 more blue gumballs than yellow gumballs.
Which of the following expressions represents the sum of three times a number and eight times another number?
- A. 3x + 8x
- B. 3x + 8y
- C. 8x - 3y
- D. 3x - 8y
Correct Answer: B
Rationale: To find the sum of three times a number and eight times another number, you need to multiply each number by its respective factor. Three times a number is represented by 3x, and eight times another number is represented by 8y. When adding these two terms together, the correct expression is 3x + 8y. Therefore, choice B is the correct answer as it accurately represents the sum of three times a number and eight times another number.
What is the decimal equivalent of 7/25?
- A. 0.28
- B. 3.4
- C. 0.18
- D. 3.57
Correct Answer: A
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. For 7/25, the calculation would be 7 · 25 = 0.28. Therefore, the decimal equivalent of 7/25 is 0.28. This process involves dividing the numerator by the denominator to represent the fraction as a decimal number.
A bucket can hold 3L. How many milliliters can the bucket hold?
- A. 300ml
- B. 3000ml
- C. 0.003ml
- D. 30ml
Correct Answer: B
Rationale: To convert liters to milliliters, you need to multiply by 1000 since 1 liter is equal to 1000 milliliters. Therefore, to determine how many milliliters a 3-liter bucket can hold, you multiply 3 by 1000, resulting in 3000ml. Hence, a bucket that can hold 3L is capable of holding 3000ml.
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