arrange the following numbers from least to greatest 73 92 109 78
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ATI TEAS 7

ATI TEAS Math Practice Test

1. Arrange the following numbers from least to greatest: 7/3, 9/2, 10/9, 7/8

Correct answer: D

Rationale: To arrange the numbers from least to greatest, first convert them to decimals: 1. 7/3 is approximately 2.33 2. 9/2 equals 4.5 3. 10/9 is approximately 1.11 4. 7/8 equals 0.875 Now, arrange the decimals from least to greatest: 0.875 (7/8), 1.11 (10/9), 2.33 (7/3), 4.5 (9/2). Therefore, the correct order is 7/8, 10/9, 7/3, 9/2. Choice A is incorrect because it doesn't follow the correct order. Choice B is incorrect as it places 9/2 before 7/3, which is not the right arrangement. Choice C is incorrect as it places 7/3 before 9/2 and 10/9, which is incorrect. Thus, the correct answer is choice D.

2. 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.

3. Which statement about multiplication and division is true?

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.

4. What is an exponent?

Correct answer: A

Rationale: An exponent is a number that indicates how many times a base number is multiplied by itself. The correct answer (A) accurately defines an exponent as a multiplier that shows how many times a number should be multiplied by itself. Choice B is incorrect as it describes a factor rather than an exponent. Choice C is incorrect as it defines a divisor, not an exponent. Choice D is incorrect as it specifically refers to the square of a number, which is not a general definition of an exponent.

5. As the number of credit hours a student takes in a semester increases, the amount of tuition, the amount of access fees, and the number of student loans available also increase. Which of the following is the independent variable?

Correct answer: B

Rationale: The correct answer is the number of credit hours. In this scenario, the number of credit hours is the independent variable because it is the factor that is intentionally changed or manipulated. The amount of tuition, access fees, and student loans are dependent variables as they are influenced by the number of credit hours a student takes. The number of credit hours drives the changes in the other factors, making it the independent variable.

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