divide 5117 31
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HESI A2

HESI A2 Math 2024

1. Divide: 5,117 ÷ 31 =

Correct answer: D

Rationale: When dividing 5,117 by 31, the quotient is 165 with a remainder of 2. The correct answer is 165 r2. Choices A, B, and C are incorrect as they do not reflect the correct division result. Choice A is close but has the wrong remainder. Choices B and C have incorrect quotients and remainders, making them inaccurate. Therefore, the correct answer is D, 165 r2.

2. How many grams are in 10 kilograms?

Correct answer: A

Rationale: The correct answer is A: 10,000 grams. There are 1,000 grams in a kilogram. Therefore, to find the number of grams in 10 kilograms, you multiply 10 (kilograms) by 1,000 (grams/kilogram) to get 10,000 grams. Choice B (100 grams) is incorrect as it represents the conversion for 1 kilogram, not 10 kilograms. Choice C (1000 grams) is incorrect as it is equal to 1 kilogram, not 10 kilograms. Choice D (100,000 grams) is incorrect as it represents the conversion for 100 kilograms, not 10 kilograms.

3. Which numeric system does not use place value?

Correct answer: A

Rationale: The Roman numeric system does not use place value as the Arabic, Decimal, and Binary systems do. In the Roman numeral system, the value of each symbol is independent of its position, unlike in the other systems where the position of a digit affects its value. This unique characteristic of Roman numerals distinguishes them from place-value systems like Arabic, Decimal, and Binary. Therefore, the correct answer is Roman (Choice A). Choices B, C, and D (Arabic, Decimal, and Binary) all utilize place value, where the position of a digit within a number determines its value, unlike Roman numerals.

4. How many milliliters are in 6 liters?

Correct answer: B

Rationale: The correct answer is B: 6000 milliliters. There are 1,000 milliliters in a liter. To convert liters to milliliters, you multiply the number of liters by 1,000. Therefore, 6 liters = 6 × 1,000 = 6,000 milliliters. Choices A, C, and D are incorrect because they do not correctly convert liters to milliliters.

5. Multiply: 52 × 04 =

Correct answer: B

Rationale: To multiply 52 by 04, you first multiply the two numbers together: 52 x 4 = 208. Since there are two decimal places in the expression, you need to divide the result by 100, which gives you 0.0208. Therefore, the correct answer is B. Choice A (0.00208) is incorrect because it represents a much smaller value obtained by considering the decimal incorrectly. Choice C (0.208) is incorrect because it does not account for the decimal placement. Choice D (2.08) is incorrect as it does not consider the requirement to convert the result into decimal form.

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