how will the number 89632 be written if rounded to the nearest hundredth
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ATI TEAS 7

TEAS Test Math Prep

1. How will the number 89632 be written if rounded to the nearest hundred?

Correct answer: B

Rationale: Rounding the number 89632 to the nearest hundred means keeping only two digits before the decimal point. The digit in the hundredth place is the digit in the thousands place of the original number, which is 6. Since 6 is equal to or greater than 5, the digit in the hundredth place, which is 3, gets rounded up. Thus, the number 89632 rounded to the nearest hundred is 900. Choice A, 847.9, rounds the number to the nearest tenth, not hundredth. Choice C, 847.89, adds an extra decimal place which is not correct for rounding to the nearest hundred. Choice D, 847.896, adds more decimal places than necessary for rounding to the nearest hundred.

2. What is the equivalent weight in pounds for 45 kg? (1 kg = 2.2 lbs)

Correct answer: C

Rationale: To convert kilograms to pounds, multiply the weight in kilograms by the conversion factor 2.2 (1 kg = 2.2 lbs). Therefore, 45 kg * 2.2 lbs/kg = 99 lbs. Choice A is incorrect because it is a miscalculation. Choice B is incorrect as it does not reflect the correct conversion. Choice D is incorrect as it is also a miscalculation of the conversion.

3. Solve for x: 2x - 7 = 3

Correct answer: D

Rationale: To solve the equation for x, follow these steps: 2x - 7 = 3. Add 7 to both sides to isolate 2x, resulting in 2x = 10. Then, divide by 2 on both sides to find x, which gives x = 5. Therefore, the correct answer is x = 5. Choices A, B, and C are incorrect because they do not accurately solve the equation.

4. A recipe calls for 0.375 cups of sugar, but you only want to make 0.625 of the recipe. How much sugar should you use?

Correct answer: C

Rationale: To find out how much sugar should be used when making 0.625 of the recipe, you need to multiply 0.375 (amount required for the full recipe) by 0.625 (proportion of the recipe you want to make). 0.375 * 0.625 = 0.234375. Therefore, you should use 0.234375 cups of sugar, which is equivalent to 0.6 cups. This is the correct answer. Choices A, B, and D are incorrect because they do not correctly calculate the adjusted amount of sugar needed based on the proportion of the recipe being made.

5. Joshua has to earn more than 92 points on a state test to qualify for a scholarship. Each question is worth 4 points, and the test has 30 questions. Which inequality can be solved to determine the number of questions Joshua must answer correctly?

Correct answer: D

Rationale: Joshua must answer more than 92 points' worth of questions. Since each question is worth 4 points, the inequality is 4x > 92. Choice A (4x < 30) is incorrect as it represents that Joshua must answer less than 30 questions correctly, not earning more than 92 points. Choice B (4x < 92) is incorrect as it signifies that Joshua must earn less than 92 points, which contradicts the requirement. Choice C (4x > 30) is incorrect as it implies that Joshua must answer more than 30 questions correctly, but the threshold is 92 points, not 30 points.

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