AD
« Back

STEPCAI

« All free sample lessons

Integers and Rational Numbers: Practice Questions with Answers

Curriculum: Integers and Rational NumbersGrades: 6–8Questions: 12Mode: Practice

These are the real questions from this STEPCAI practice lesson. Read each question, pick your answer, then open Show the answer to check yourself and read why it is right. On STEPCAI the same lesson runs interactively: you click an answer and get instant feedback, and a free account keeps your scores.

Practice this lesson free with instant feedback

Free. New visitors accept the Software License Agreement first.

1. Which of the following is an integer?

  1. 0.75
  2. 2.5
  3. -5
  4. 1/2
Show the answer
Answer: C. -5
Integers are whole numbers and their opposites, including zero, with no fractional or decimal part. -5 fits this definition.

2. What is the opposite of -8?

  1. 0
  2. 8
  3. -8
  4. 1/8
Show the answer
Answer: B. 8
The opposite of a number is the same distance from zero but on the other side of the number line, so the opposite of -8 is 8.

3. Which number is greater: -3 or -7?

  1. Cannot be determined
  2. -7
  3. They are equal
  4. -3
Show the answer
Answer: D. -3
On a number line, numbers increase to the right. Since -3 is to the right of -7, -3 is greater.

4. What is the absolute value of -12?

  1. 1/12
  2. -12
  3. 12
  4. 0
Show the answer
Answer: C. 12
Absolute value measures distance from zero on the number line, which is always zero or positive. The distance from -12 to 0 is 12.

5. Which set of numbers includes integers, fractions, and terminating or repeating decimals?

  1. Rational numbers
  2. Irrational numbers
  3. Natural numbers
  4. Whole numbers
Show the answer
Answer: A. Rational numbers
Rational numbers include any number that can be written as a fraction of two integers, which covers integers, fractions, and terminating or repeating decimals.

6. What is -4 + 9?

  1. 5
  2. -5
  3. 13
  4. -13
Show the answer
Answer: A. 5
When adding a negative and a positive number, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value. 9 - 4 = 5, and since 9 is positive, the answer is positive.

7. What is 6 - 10?

  1. -16
  2. 4
  3. 16
  4. -4
Show the answer
Answer: D. -4
Subtracting 10 from 6 is the same as adding -10 to 6, which gives -4 because 10 is larger than 6.

8. What is -5 x -3?

  1. 15
  2. 8
  3. -8
  4. -15
Show the answer
Answer: A. 15
When multiplying two negative numbers, the negatives cancel out and the product is positive. 5 times 3 is 15.

9. Which point on a number line represents -2.5?

  1. Exactly at -3
  2. Halfway between 2 and 3
  3. Exactly at -2
  4. Halfway between -2 and -3
Show the answer
Answer: D. Halfway between -2 and -3
-2.5 lies exactly halfway between -2 and -3 since it is 0.5 less than -2 and 0.5 more than -3.

10. Which of these is equivalent to 3/4?

  1. 0.34
  2. 0.75
  3. 34%
  4. 4/3
Show the answer
Answer: B. 0.75
Dividing 3 by 4 gives 0.75, so 3/4 and 0.75 represent the same value.

11. Order these from least to greatest: -1, 2, -3, 0

  1. 2, 0, -1, -3
  2. -1, -3, 0, 2
  3. -3, -1, 0, 2
  4. 0, -1, -3, 2
Show the answer
Answer: C. -3, -1, 0, 2
Placed on a number line from left to right, the order is -3, -1, 0, 2, since more negative numbers are smaller.

12. Which statement is true?

  1. All integers are whole numbers
  2. All whole numbers are integers
  3. All negative numbers are whole numbers
  4. All fractions are integers
Show the answer
Answer: B. All whole numbers are integers
Whole numbers (0, 1, 2, 3, ...) are a subset of integers, so every whole number is also an integer.
Practice this lesson free with instant feedback

Free. New visitors accept the Software License Agreement first.

More free middle school sample lessons

See all free sample lessons »
AD
AD
Free Sample Lessons  •  Free Homeschool Curriculum  •  Privacy Policy  •  Terms of Use  •  Contact Us