a set of integers can be classified as positive negative or zero which of the following statements about multiplying positive and negative integers is

HESI A2

HESI A2 Practice Test Math

1. A set of integers can be classified as positive, negative, or zero. Which of the following statements about multiplying positive and negative integers is ALWAYS true?

A. The product will always be positive.
B. The product will always be negative.
C. The product will depend on the specific positive and negative numbers used.
D. Positive and negative integers cannot be multiplied.

Correct answer: B

Rationale: When multiplying a positive integer by a negative integer, the product will always be negative. This is a fundamental rule of arithmetic. The sign of the product is determined by the rule that states a positive number multiplied by a negative number results in a negative number. Therefore, the statement that the product will always be negative is always true when multiplying positive and negative integers. Choice A is incorrect because the product is not always positive when multiplying positive and negative integers. Choice C is incorrect because the product is not dependent on the specific numbers but on the signs of the integers being multiplied. Choice D is incorrect as positive and negative integers can be multiplied.

2. How many gallons are in 16 quarts?

A. 1 gallon
B. 8 gallons
C. 4 gallons
D. 4.5 gallons

Correct answer: C

Rationale: To convert quarts to gallons, remember that 1 gallon equals 4 quarts. Therefore, 16 quarts ÷ 4 quarts/gallon = 4 gallons. The correct answer is 4 gallons because each gallon contains 4 quarts. Choice A (1 gallon) is incorrect because 1 gallon is equal to 4 quarts, not 16 quarts. Choice B (8 gallons) is incorrect as it miscalculates the conversion. Choice D (4.5 gallons) is incorrect because it doesn't align with the conversion rate of 4 quarts per gallon.

3. 5 1\3 + 3 1\2.

A. 8 5/6
B. 9
C. 7
D. 8

Correct answer: A

Rationale: 5 1\3 + 3 1\2 equals 8 5\6.

4. Karen goes to the grocery store with $40. She buys a carton of milk for $1.85, a loaf of bread for $3.20, and a bunch of bananas for $3.05. How much money does she have left?

A. $30.95
B. $31.90
C. $32.10
D. $34.95

Correct answer: B

Rationale: To determine how much money Karen has left, we first calculate the total cost of the items she bought: $1.85 + $3.20 + $3.05 = $8.10. Subtracting this total cost from the initial amount she had, $40 - $8.10 = $31.90 left. Choice A, $30.95, is incorrect as it does not reflect the correct amount left after subtracting the total cost. Choice C, $32.10, is incorrect as it is the total cost of the items she bought, not the amount left. Choice D, $34.95, is incorrect as it does not consider the expenses incurred and subtracted from the initial amount.

5. What is 50% of 120?

A. 50
B. 50
C. 70
D. 60

Correct answer: D

Rationale: The correct answer is D, 60. To find 50% of 120, you multiply 0.5 by 120: 0.5 x 120 = 60. Choice A and B are incorrect as they are duplicates. Choice C, 70, is incorrect because it is not the result of calculating 50% of 120.