positive integers are greater than zero which of the following expressions results in the largest positive number

HESI A2

HESI A2 Math Practice Test

1. Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?

A. (2 + 3)^2
B. 5 x 7 + 2
C. 10^2 - 4^2
D. (8 - 1) x 3

Correct answer: C

Rationale: To find the largest positive number among the expressions, we evaluate each one: A) (2 + 3)^2 = 5^2 = 25 B) 5 x 7 + 2 = 35 + 2 = 37 C) 10^2 - 4^2 = 100 - 16 = 84 D) (8 - 1) x 3 = 7 x 3 = 21 Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.

2. Divide: 92 ÷ 11 =

A. 8 r3
B. 8 r4
C. 8 r7
D. 9 r1

Correct answer: B

Rationale: To divide 92 by 11, you get 8 as the whole number part of the quotient. The remainder is 4, so the correct answer is 8 r4. Choice A, 8 r3, is incorrect because the remainder is 4, not 3. Choice C, 8 r7, is incorrect as the remainder cannot be greater than the divisor. Choice D, 9 r1, is incorrect as the whole number part of the quotient is 8, not 9.

3. Express 0.608 as a percent.

A. 60.8%
B. 68%
C. 0%
D. 6%

Correct answer: A

Rationale: To convert a decimal to a percentage, you move the decimal point two places to the right and add a percentage sign. Therefore, 0.608 as a percent is 60.8%. The correct answer is A. Choice B (68%) is incorrect because it represents the percentage for a different decimal value. Choice C (0%) is incorrect as it represents 0 as a percentage, not 0.608. Choice D (6%) is incorrect as it also represents a different decimal value, not 0.608.

4. A farmer wants to plant trees at the outside boundaries of his rectangular field with dimensions 650 meters × 780 meters. Each tree requires 5 meters of free space all around it from the stem. How much free area will be left?

A. 478,800 m²
B. 492,800 m²
C. 507,625 m²
D. 518,256 m²

Correct answer: A

Rationale: To calculate the area taken by the trees, we need to account for the space each tree requires. Each tree needs 5 meters of free space all around it, totaling 10 meters added to each dimension. Therefore, the new dimensions of the field are (650-10) meters by (780-10) meters. Calculating the area of the new field: (640m × 770m = 492,800m²). To find the free area remaining, subtract the new field's area from the original field's area: 507,000m² - 492,800m² = 14,200m². Therefore, the free area left after planting the trees is 14,200m². Choice A is the correct answer as it represents the free area left after planting the trees.

5. Scientific notation is a way to represent very large or small numbers in a compact form. If a number is written as 4.82 x 10^3, what is the value of the number in standard form?

A. 0.004 82
B. 0.482
C. 4820
D. 4820000

Correct answer: C

Rationale: Rationale: When a number is written in scientific notation as $a \times 10^n$, the value of the number in standard form is obtained by multiplying $a$ by $10^n$. In this case, the number is $4.82 \times 10^3$. To convert this to standard form, we multiply 4.82 by $10^3$, which means moving the decimal point 3 places to the right. $4.82 \times 10^3 = 4820$ Therefore, the value of the number in standard form is 4820, which corresponds to option C.