Grade 12 Number Systems Review

A comprehensive review worksheet on number systems for Grade 12 students, covering real numbers, complex numbers, and their properties.

Grade 12 Math Number SenseNumber Systems

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSN.RN.A.1CCSS.MATH.CONTENT.HSN.CN.A.1CCSS.MATH.CONTENT.HSN.CN.A.2

Topics

number systemsreal numberscomplex numbersgrade 12math

8 sections · Free to use · Printable

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Grade 12 Number Systems Review

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following is NOT a rational number?

0.333...

√25

-7/2

1. The set of all numbers that can be expressed in the form a + bi, where 'a' and 'b' are real numbers and 'i' is the imaginary unit, is called the numbers.

2. Any number that can be written as a simple fraction (i.e., a ratio) is called a number.

1. Explain the difference between an irrational number and a rational number. Provide an example for each.

1. All integers are natural numbers.

True

False

Match each number set with its definition.

1. Natural Numbers

a. Numbers that can be written as a/b where a and b are integers and b ≠ 0.

2. Rational Numbers

b. Counting numbers (1, 2, 3, ...).

3. Integers

c. Numbers that cannot be expressed as a simple fraction.

4. Irrational Numbers

d. Whole numbers and their negative counterparts (..., -2, -1, 0, 1, 2, ...).

1. Simplify the following expression: (3 + 2i) + (1 - 4i).

2. Multiply the following complex numbers: (2 + i)(3 - 2i).