Real Number System
Mathematics
8th Grade
CCSS covered
Used 3K+ times
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About
This quiz focuses on the real number system, specifically the classification and properties of different number sets including natural numbers, whole numbers, integers, rational numbers, and irrational numbers. The content is designed for 8th grade students who are developing a comprehensive understanding of how numbers are organized within the real number system. Students must demonstrate mastery of the hierarchical relationships between number sets, recognize that each set is a subset of larger sets, and classify specific numbers into their appropriate categories. The core concepts required include understanding that natural numbers are counting numbers (1, 2, 3...), whole numbers include zero with the natural numbers, integers add negative numbers to whole numbers, rational numbers can be expressed as fractions or terminating/repeating decimals, and irrational numbers cannot be written as fractions and have non-terminating, non-repeating decimal expansions. Students also need to work with square roots, distinguishing between perfect squares that yield rational results and non-perfect squares that produce irrational numbers. This quiz was created by a classroom teacher who designed it for students studying the real number system in grade 8. The assessment serves multiple instructional purposes, functioning effectively as a diagnostic tool to identify misconceptions about number classifications, a practice exercise to reinforce the hierarchical structure of the real number system, or a formative assessment to gauge student understanding before moving to more advanced algebraic concepts. Teachers can deploy this quiz as a warm-up activity to activate prior knowledge, assign it as homework to extend classroom learning, or use it for review before unit tests. The variety of question formats—from classification problems to identifying false statements—provides comprehensive coverage of student understanding and helps teachers pinpoint specific areas where students struggle with number system relationships. This assessment aligns with standards 8.NS.A.1 and 8.NS.A.2, which require students to understand that numbers that are not rational are called irrational and to use rational approximations of irrational numbers to compare the size of irrational numbers and estimate the value of expressions.
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20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which statement is NOT true?
Tags
CCSS.8.NS.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Classify the Number: -23
Tags
CCSS.8.NS.A.1
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The set of rational numbers includes all the following except...
Tags
CCSS.8.NS.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
-14 could NOT be which type of number?
Tags
CCSS.8.NS.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Classify 17/10
Tags
CCSS.8.NS.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What number below is a natural, whole, integer, rational, and real number ?
Tags
CCSS.8.NS.A.1
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Classify √35.
Tags
CCSS.8.NS.A.1
CCSS.8.NS.A.2
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