Rational and Irrational Numbers
Quiz
•
Mathematics
•
7th Grade
•
Practice Problem
•
Medium
Standards-aligned
Alexis Preston
Used 1+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which of the following numbers is a rational number?
Answer explanation
0.75 is a rational number because it can be expressed as the fraction 3/4. In contrast, \sqrt{3}, \pi, and e are irrational numbers, as they cannot be expressed as a fraction of two integers.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Answer explanation
To convert \( \frac{5}{8} \) to a decimal using long division, divide 5 by 8. 8 goes into 50 six times (48), leaving a remainder of 2. Bring down a 0 to make 20. 8 goes into 20 two times (16), leaving a remainder of 4. Bring down another 0 to make 40. 8 goes into 40 five times (40), leaving no remainder. Thus, \( \frac{5}{8} = 0.625 \). The correct answer is \( 0.625 \).
Tags
CCSS.7.NS.A.2D
CCSS.8.NS.A.1
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which of the following decimals is a repeating decimal?
Answer explanation
The repeating decimal is 0.333..., which represents the fraction 1/3. The other options, 0.5, 0.25, and 0.8, are terminating decimals and do not repeat.
Tags
CCSS.7.NS.A.2D
CCSS.8.NS.A.1
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Rational
Irrational
Both
Neither
Answer explanation
The number -2.75 is a rational number because it can be expressed as a fraction (-11/4). Rational numbers include all integers, fractions, and terminating or repeating decimals, making 'Rational' the correct classification.
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which of the following numbers is irrational?
Answer explanation
The number \( \sqrt{5} \) is irrational because it cannot be expressed as a fraction of two integers. In contrast, \( \frac{7}{9} \), \( 0.121212\ldots \) (a repeating decimal), and \( -3 \) are all rational.
Tags
CCSS.8.NS.A.1
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Answer explanation
The fraction \( \frac{1}{4} \) represents one part of four equal parts. When converted to decimal form, it equals 0.25. Therefore, the correct answer is \( 0.25 \).
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which of the following statements is true about rational numbers?
Their decimal form always terminates.
Their decimal form always repeats.
Their decimal form either terminates or repeats.
Their decimal form never repeats.
Answer explanation
Rational numbers can be expressed as fractions. Their decimal forms either terminate (like 0.5) or repeat (like 0.333...). Thus, the correct statement is that their decimal form either terminates or repeats.
Tags
CCSS.7.NS.A.2D
CCSS.8.NS.A.1
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