TEAS Practice Test Math

Correct Answer: A

Rationale: The correct answer is A because an exponent is a number that indicates how many times a base number is multiplied by itself. For example, in 2^3, 3 is the exponent telling us to multiply 2 by itself 3 times. Choice B is incorrect because an exponent is not the number being multiplied, but the number indicating how many times to multiply. Choice C is incorrect as an exponent does not involve division. Choice D is incorrect as it refers specifically to squaring a number, whereas exponents can apply to any power beyond just squaring.

Correct Answer: A

Rationale: The correct answer is A because the greatest common factor is the largest factor that divides all the given numbers without a remainder. This factor is common to all numbers and is the greatest among all the common factors. Choice B is incorrect because the smallest factor does not account for all numbers. Choice C is incorrect as the greatest common factor is not a multiple, but a factor. Choice D is incorrect since the smallest multiple does not necessarily divide all the numbers without a remainder.

Correct Answer: A

Rationale: The correct answer is A because rational numbers are those that can be expressed as a fraction of two integers, where the denominator is not zero. This includes integers, fractions, and decimals that terminate or repeat. Irrational numbers, on the other hand, cannot be expressed as a fraction and have non-repeating, non-terminating decimal representations. Choices B, C, and D are incorrect because they do not accurately define rational and irrational numbers. Choice B only partially describes rational numbers, excluding some fractions, and does not properly define irrational numbers. Choice C incorrectly categorizes all whole numbers as rational and all decimals as irrational. Choice D is also inaccurate because not all rational numbers are terminating decimals, and not all irrational numbers are repeating decimals.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: C

Rationale: To find the product of 1.6 and 0.93, we multiply the two numbers as usual: 1.6 * 0.93 = 1.488. The correct decimal placement for the product is C (1.488) because when multiplying decimal numbers, the total number of decimal places in the product should be equal to the sum of decimal places in the numbers being multiplied. In this case, 1.6 has one decimal place and 0.93 has two decimal places, totaling three decimal places. Therefore, the correct answer is 1.488, as it has three decimal places. Explanation for other choices: A: 14.88 - Incorrect as it has an extra decimal place. B: 0.1488 - Incorrect as it has one less decimal place. D: 0.001488 - Incorrect as it has more decimal places than the product of 1.6 * 0.93.