when rounding 2678 to the nearest thousandth which place value would be used to decide whether to round up or round down
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ATI TEAS 7

TEAS Test Math Prep

1. When rounding 2678 to the nearest thousandth, which place value would be used to decide whether to round up or round down?

Correct answer: B

Rationale: When rounding 2678 to the nearest thousandth, you would look at the digit in the thousandth place, which is 7. To decide whether to round up or down, you consider the digit to the immediate right of the place you are rounding to. Since 7 is equal to or greater than 5, you round up. Choice A, ten-thousandth, is incorrect as we are rounding to the thousandth place. Choice C, hundredth, is not relevant as we are not rounding to that place value. Choice D, thousand, is incorrect as it is the original number being rounded, not the place value used for rounding.

2. If Stella's current weight is 56 kilograms, what is her approximate weight in pounds?

Correct answer: A

Rationale: To convert kilograms to pounds, you multiply the weight in kilograms by 2.2. So, 56 kilograms * 2.2 = 123.2 pounds, which can be approximated to 123 pounds. Therefore, Choice A is correct. Choices B, C, and D are incorrect as they do not match the correct conversion from kilograms to pounds for Stella's weight of 56 kilograms.

3. Given the histograms shown below, which of the following statements is true?

Correct answer: C

Rationale: The correct answer is C. Group B is negatively skewed, indicating more high scores, leading to a higher mean for Group B when compared to Group A. Choice A is incorrect because Group A is not negatively skewed and doesn't have a mean less than Group B. Choice B is incorrect as Group A is not positively skewed and its mean is not greater than Group B. Choice D is also incorrect because Group B having a mean less than Group A contradicts the fact that Group B has a higher mean due to being negatively skewed.

4. What is the least common denominator of two fractions?

Correct answer: C

Rationale: The least common denominator of two fractions is the least common multiple of both denominators. This is because the least common denominator is the smallest number that both denominators can divide into evenly, ensuring that both fractions can be expressed with a common denominator. Choice A is incorrect as the least common denominator is a multiple of both denominators, not a number that multiplies into both. Choice B is incorrect because the common denominator needs to be a multiple of both denominators, not just a number they can divide into evenly. Choice D is incorrect as the greatest common factor is not used to find the least common denominator, but rather the least common multiple.

5. What is the sum of two odd numbers, two even numbers, and an odd number and an even number?

Correct answer: A

Rationale: The sum of two odd numbers is even because odd numbers have a difference of 1 and adding them results in a multiple of 2. The sum of two even numbers is even because even numbers are multiples of 2. When an odd number and an even number are added, the result is odd because the even number contributes an extra 1 to the sum, making it an odd number. Therefore, the correct answer is A. Choices B, C, and D have incorrect combinations of the sum of odd and even numbers.

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