Grade 9 Number Systems Worksheet
Explore the classification and properties of real numbers, including rational and irrational numbers, with this comprehensive Grade 9 math worksheet.
Includes
Standards
Number Systems Review
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following numbers is an irrational number?
0.333...
√9
π
-5
2. Which set of numbers contains only integers?
{ -2, 0, 1/2 }
{ -3, 0, 5 }
{ 1/3, 2, √16 }
{ 0.5, 1, 2.5 }
3. The set of numbers that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0, is called numbers.
4. All natural numbers are also numbers, which also include zero.
5. All rational numbers are also real numbers.
True
False
6. The product of two irrational numbers is always irrational.
True
False
7. Place the following numbers on the number line provided: -2.5, 0, √4, 1/2, -3
8. Explain the difference between rational and irrational numbers. Provide an example of each.
Match each number to its correct classification.
9. -7
a. Natural Number
10. 0
b. Whole Number
11. √2
c. Integer
12. 4/3
d. Rational Number
13. 10
e. Irrational Number