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. Arrange the following fractions from least to greatest: 2/3, 1/2, 5/8, 7/9.

Correct answer: C

Rationale: To compare the fractions, it is beneficial to convert them to decimals or find a common denominator. When converted to decimals: 1/2 = 0.50, 5/8 = 0.625, 2/3 ≈ 0.666, and 7/9 ≈ 0.778. Therefore, the correct order from least to greatest is 1/2, 5/8, 2/3, 7/9. Choice A is incorrect because it places 7/9 first, which is the greatest fraction. Choice B is incorrect as it incorrectly lists the fractions. Choice D is incorrect as it starts with 7/9, which is the largest fraction instead of the smallest.

3. Four people split a bill. The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. What fraction of the bill does the fourth person pay?

Correct answer: C

Rationale: To find the fourth person's share, subtract the fractions paid by the first three people from the total bill (1). The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. Adding these fractions gives 7/15. Subtracting this from 1 gives the fourth person's share as 8/15, which simplifies to 4/5. Therefore, the fourth person pays 4/5 of the bill. Option A (1/4) is incorrect because it does not consider the fractions paid by the first three people. Option B (13/60) is incorrect as it is not the remainder after subtracting the first three fractions from 1. Option D (1/4) is a duplicate of Option A and is also incorrect.

4. Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza does each of the other three friends receive?

Correct answer: A

Rationale: After one friend eats half of the pizza, the remaining half is divided equally among the three other friends. Each of the three friends receives 1/3 of the remaining half, not 1/6. Therefore, the correct answer is 1/3 of 1/2, which is 1/6 of the total pizza. The incorrect choices are: B. 1/3 - This is the correct portion of the remaining pizza each friend receives, not 1/3. C. 1/4 - This is not the accurate portion each friend receives after the first friend eats half of the pizza. D. 1/6 - This is the portion of the total pizza each friend receives, not the portion each friend receives after the initial half is consumed.

5. Two even integers and one odd integer are multiplied together. Which of the following could be their product?

Correct answer: D

Rationale: When multiplying two even integers and one odd integer, the product will always be even. This is because multiplying any number of even integers will always result in an even number. Therefore, the only possible product from the given options is 24, as it is the only even number listed. Choices A, B, and C are incorrect as they are all odd numbers, and the product of two even integers and one odd integer will never result in an odd number.

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