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

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?

A. Ten-thousandth
B. Thousandth
C. Hundredth
D. Thousand

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. Which statement about multiplication and division is true?

A. The product of the quotient and the dividend is the divisor.
B. The product of the dividend and the divisor is the quotient.
C. The product of the quotient and the divisor is the dividend.
D. None of the above.

Correct answer: C

Rationale: In division, the dividend is the number being divided, the divisor is the number you are dividing by, and the quotient is the result. Multiplying the quotient by the divisor gives the original dividend. This is the reverse of the division operation. Therefore, the correct statement is that the product of the quotient and the divisor equals the dividend, making option C correct. Choices A and B provide incorrect relationships between the terms dividend, divisor, quotient, and product, making them inaccurate. Option D is a general statement that does not provide the correct relationship between multiplication and division terms.

3. What is a direct proportion? What is an inverse proportion?

A. Direct: Both quantities increase or decrease together; Inverse: When one quantity increases, the other decreases by the same factor
B. Direct: Both quantities decrease together; Inverse: When one quantity increases, the other increases
C. Direct: One quantity stays the same while the other increases; Inverse: Both quantities increase together
D. Direct: One quantity increases while the other decreases; Inverse: Both quantities decrease together

Correct answer: A

Rationale: In a direct proportion, both quantities increase or decrease together. This means that as one quantity goes up, the other also goes up, and vice versa. On the other hand, in an inverse proportion, when one quantity increases, the other decreases by the same factor. Therefore, choice A is correct as it accurately defines direct and inverse proportions. Choices B, C, and D are incorrect because they do not accurately describe the relationship between quantities in direct and inverse proportions.

4. In a study measuring the average hours worked per week by different types of hospital staff (such as nurses and physicians), what are the dependent and independent variables?

A. The dependent variable is Nurses. The independent variable is Physicians.
B. The dependent variable is Physicians. The independent variable is Nurses.
C. The dependent variable is Hospital Staff. The independent variable is Average hours worked per week.
D. The dependent variable is Average hours worked per week. The independent variable is Hospital Staff.

Correct answer: D

Rationale: In this study, the dependent variable is the 'Average hours worked per week,' as it relies on the different types of 'Hospital Staff' (the independent variable). The amount of time worked per week varies based on the category of staff being considered. Therefore, the correct choice is D. Choices A and B incorrectly assign the dependent and independent variables to specific staff categories (Nurses and Physicians), which are actually different elements within the study. Choice C incorrectly defines the dependent variable as 'Hospital Staff,' when in fact, it is the 'Average hours worked per week' that is dependent on the type of staff.

5. A study about anorexia was conducted on 100 patients. 70% were women, and 10% of the men were overweight as children. How many male patients were not overweight as children?

A. 3
B. 10
C. 27
D. 30

Correct answer: C

Rationale: Out of the 100 patients, 30% were men, which equals 30 male patients. It is given that 10% of the men were overweight as children, so 10% of 30 is 3, meaning 3 male patients were overweight. Therefore, the remaining 27 male patients were not overweight as children. Choice A, B, and D are incorrect as they do not accurately represent the number of male patients who were not overweight.