Math 10 Unit 2: Roots and Powers (Day 1) Name: Intro to Number Systems; Square Roots and Cube Roots Learning Intention(s): Introduction to number systems Review square and cube roots Number Systems: Natural Numbers: Whole Numbers: Integers: Rational Numbers: Any number that can be written as a fraction, m n this includes terminating and repeating decimals. Irrational Numbers: Any number that is not rational; it cannot be written in the form m n . where m and n are integers, n ≠ 0 Ex: Determine the sets the following belong: 16 =_________ 21 =_________ 5 . 3 =_________ 6 . 2 =_________ 49 =________ =_________
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Intro to Number Systems; Square Roots and Cube Roots · 2019. 2. 21. · Review: Square Roots and Cube Roots When a number x can be written as the product of two equal factors, then
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Math 10 Unit 2: Roots and Powers (Day 1) Name:
Intro to Number Systems; Square Roots and Cube Roots
Learning Intention(s):
Introduction to number systems Review square and cube roots
Number Systems: Natural Numbers: Whole Numbers: Integers:
Rational Numbers: Any number that can be written as a fraction, m
n this includes terminating and
repeating decimals.
Irrational Numbers: Any number that is not rational; it cannot be written in the form m
n. where m and n
are integers, n ≠ 0 Ex: Determine the sets the following belong:
16 =_________
21 =_________
5.3 =_________
6.2 =_________
49 =________ =_________
Review: Square Roots and Cube Roots
When a number x can be written as the product of two equal factors, then the square root of x,
represented by ,x is one of these factors.
For example, 64 8 because 82 = 64.
8 is a square root of 64
We write 8=√64
Note: The square root of a perfect square is always a rational number.
The cube root of a number x, represented by 3 ,x is one of three equal factors of the number.
For example, 3 64 4 because 43 = 64.
4 is a cube root of 64
We write 4= √64 3
Note: The cube root of a perfect cube is always a rational number.
So, how would you write 6 as a square root? A cube root? A fourth root?
We call the form √xn a radical. *When evaluating a radical, you can use groupings of prime factors to calculate square roots of perfect squares and cube roots of perfect cubes.