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Question 1: What symbol separates the whole number part from the fractional part in a decimal?
- Decimal point
- Semicolon
- Comma
- Colon
Answer: A. Decimal point
Explanation: The decimal point is the standard symbol used in mathematics to separate the whole number part from the fractional part of a decimal number.
Question 2: Which of these is an example of a terminating decimal?
- 0.142857...
- 0.333...
- 0.101001...
- 0.25
Answer: D. 0.25
Explanation: A terminating decimal is a decimal number that ends after a finite number of digits, such as 0.25, unlike repeating or non-terminating decimals.
Question 3: What is the decimal expansion of a repeating decimal like 0.333...?
- A digit repeats infinitely
- It is an irrational number
- It ends after three digits
- It has no fractional part
Answer: A. A digit repeats infinitely
Explanation: A repeating decimal is defined as a decimal number in which a digit or a group of digits repeats infinitely, such as 0.333...
Question 4: Which of these is an example of an irrational number?
- 0.2
- 0.75
- 0.5
- π
Answer: D. π
Explanation: An irrational number cannot be expressed as a fraction and has a non-repeating, non-terminating decimal expansion, with pi being a classic example.
Question 5: In the number 3.45, what does the 4 represent?
- Hundredths
- Ones
- Thousandths
- Tenths
Answer: D. Tenths
Explanation: The place value of a digit to the right of the decimal point starts with tenths, followed by hundredths, then thousandths, and so on.
Question 6: What is the result of multiplying 2.5 by 100?
- 2.500
- 0.25
- 25
- 250
Answer: D. 250
Explanation: Multiplying a decimal by a power of 10 moves the decimal point to the right by the number of zeros; 2.5 times 100 equals 250.
Question 7: How would you write 0.25 as a fraction?
- 2/5
- 25/10
- 25/100
- 1/25
Answer: C. 25/100
Explanation: To convert a decimal to a fraction, you count the decimal places and use a power of 10 as the denominator, so 0.25 becomes 25/100.
Question 8: Which of these is a common real-life example of using decimals?
- Number of chairs
- Counting people
- Money
- Whole apples
Answer: C. Money
Explanation: Money is a common real-life example of decimals, where the dollar is the whole number and the cents represent the fractional part of the total.
Question 9: What type of number has a decimal expansion that terminates or repeats?
- Rational number
- Whole number
- Irrational number
- Prime number
Answer: A. Rational number
Explanation: Rational numbers are defined as numbers that can be written as a fraction of two integers and have decimal expansions that either terminate or repeat.
Question 10: What is often used to express very large or small numbers using powers of 10?
- Scientific notation
- Prime factorization
- Binary code
- Roman numerals
Answer: A. Scientific notation
Explanation: Scientific notation is a method used to express very large or very small numbers by combining decimal notation with powers of 10.