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Question 1: What is the decimal equivalent of the fraction 1/2?
- 0.2
- 0.75
- 0.25
- 0.5
Answer: D. 0.5
Explanation: The fraction 1/2 represents one half of a whole unit. When you divide the numerator one by the denominator two, the result is exactly 0.5.
Question 2: Which term describes a decimal that ends with zeros?
- Terminating decimal
- Repeating decimal
- Infinite decimal
- Rational decimal
Answer: A. Terminating decimal
Explanation: A terminating decimal is a decimal that ends, meaning it has a finite number of digits after the decimal point.
Question 3: In the base-ten system, what is the place value immediately to the right of the decimal point?
- Thousandths
- Ones
- Tenths
- Hundredths
Answer: C. Tenths
Explanation: In our base-ten positional number system, the first position located immediately to the right of the decimal point represents the tenths place, which is one-tenth of a whole.
Question 4: What is the decimal equivalent of the fraction 1/4?
- 0.14
- 0.5
- 0.25
- 0.4
Answer: C. 0.25
Explanation: The fraction 1/4 represents one quarter of a whole. By dividing one by four, you obtain the decimal value of 0.25, which is a common terminating decimal.
Question 5: Which symbol is used to show that one decimal is smaller than another?
- =
- >
- +
- <
Answer: D. <
Explanation: The less than symbol (<) is used to indicate that a number on the left is smaller than the number on the right.
Question 6: What is the decimal equivalent of the fraction 1/5?
- 0.05
- 0.1
- 0.2
- 0.5
Answer: C. 0.2
Explanation: The fraction 1/5 is equivalent to 0.2. This is calculated by dividing the numerator one by the denominator five, resulting in two-tenths of a whole unit.
Question 7: What must be true to compare two different decimals?
- They must have the same digits
- They must refer to the same whole
- They must be positive
- They must be repeating
Answer: B. They must refer to the same whole
Explanation: To accurately compare two different decimal values, they must refer to the same whole unit to ensure that the comparison is mathematically valid and logically consistent.
Question 8: What type of decimal has a digit or group of digits that repeats infinitely?
- Finite
- Terminating
- Repeating
- Whole
Answer: C. Repeating
Explanation: A repeating decimal is a specific type of decimal number where a digit or a sequence of digits continues to repeat infinitely without ever coming to an end.
Question 9: Rounding a decimal to the nearest tenth depends on the digit in which place?
- The hundredths place
- The thousandths place
- The ones place
- The tenths place
Answer: A. The hundredths place
Explanation: To round to a specific place value, you must look at the digit in the place immediately to the right of your target.
Question 10: Fractions, decimals, and percents are all representations of what type of number?
- Whole numbers
- Negative numbers
- Prime numbers
- Rational numbers
Answer: D. Rational numbers
Explanation: Fractions, decimals, and percents are different ways to express the same rational number, which can be written as a ratio.