a book has a width of 5 decimeters what is the width of the book in centimeters

ATI TEAS 7

TEAS Test Practice Math

1. A book has a width of 5 decimeters. What is the width of the book in centimeters?

A. 0.25 centimeters
B. 25 centimeters
C. 250 centimeters
D. 0.025 centimeters

Correct answer: B

Rationale: To convert decimeters to centimeters, you need to multiply by 10 since 1 decimeter is equal to 10 centimeters. Therefore, to find the width of the book in centimeters, multiply 5 decimeters by 10: 5 decimeters * 10 = 50 centimeters. This means the width of the book is 50 centimeters, making choice B, "25 centimeters," the correct answer. Choices A, C, and D are incorrect because they do not correctly convert decimeters to centimeters.

2. Gordon purchased a television when his local electronics store had a sale. The television was offered at 30% off its original price of $472. What was the sale price Gordon paid?

A. $141.60
B. $225.70
C. $305.30
D. $330.40

Correct answer: D

Rationale: To find the sale price after a 30% discount, you need to subtract 30% of the original price from the original price. 30% of $472 is $141.60. Subtracting this discount from the original price gives $472 - $141.60 = $330.40, which is the sale price Gordon paid. Choice A, $141.60, is incorrect as it represents only the discount amount, not the final sale price. Choices B and C are also incorrect as they do not account for the correct calculations of the discount and final sale price.

3. Robert scores three new clients every eight months. After how many months has he secured 24 new clients?

A. 64
B. 58
C. 52
D. 66

Correct answer: A

Rationale: To find out the number of months needed to secure 24 new clients, you can set up a proportion: 3 clients / 8 months = 24 clients / x months. Cross multiplying gives you 3x = 24 * 8. Solving for x: 3x = 192, x = 192 / 3, x = 64. Therefore, Robert will secure 24 new clients after 64 months. Choice A is correct. Choice B (58), Choice C (52), and Choice D (66) are incorrect as they do not align with the correct calculation based on the given proportion.

4. How do you convert yards to feet, and feet to yards?

A. Multiply yards by 3 to get feet; divide feet by 3 to get yards
B. Multiply yards by 2 to get feet; divide feet by 2 to get yards
C. Multiply yards by 1.5 to get feet; divide feet by 1.5 to get yards
D. Multiply yards by 4 to get feet; divide feet by 4 to get yards

Correct answer: A

Rationale: To convert yards to feet, you need to know that 1 yard is equal to 3 feet. Therefore, to convert yards to feet, you multiply the number of yards by 3. To convert feet to yards, you divide the number of feet by 3. Choice A correctly states that you should multiply yards by 3 to get feet and divide feet by 3 to get yards. Choices B, C, and D provide incorrect conversion factors, leading to inaccurate results.

5. What is any number raised to the power of zero?

A. One
B. Itself
C. Zero
D. Two

Correct answer: A

Rationale: The correct answer is A: One. Any number raised to the power of zero is always equal to 1. This is a fundamental property of exponentiation. Choice B, 'Itself,' is vague and does not specify a numerical value. Choice C, 'Zero,' is incorrect as any nonzero number raised to the power of zero is 1, not 0. Choice D, 'Two,' is incorrect as any number raised to the power of zero is 1, not 2.