Square Roots and Cube Roots
Presentation
•
Mathematics
•
6th - 8th Grade
•
Practice Problem
•
Easy
Standards-aligned
Kelly Burnette
Used 20+ times
FREE Resource
6 Slides • 6 Questions
1
SQUARE ROOTS AND CUBE ROOTS
Three expressions with exponents are given below. For each expression, label the base and the exponent.
Then, explain its mathematical meaning by writing it in expanded form.
2
Similar to the inverse operations of addition and subtraction, raising a value to an exponent also has an inverse operation. Use the table below to explore one example.
SQUARES AND SQUARE ROOTS
• Squaring a number is raising that number to a power of 2 or multiplying a number by itself.
• The square root is an inverse operation of squaring a number and “undoes” an exponent of 2.
• The positive square root is known as the principle square root.
The square root of x:
√X
“What number times itself will give me x?”
3
In 1-4, use squares and square roots to evaluate the given expression.
5. Three equations are given below. Use inverse operations to isolate the variable. Be sure to check your solution by plugging it back into the original equation.
4
Math Response
1. 152
5
Math Response
2. 144
6
Math Response
3. (−6)2
7
Math Response
4. 49
8
A similar relationship between squares and square roots exists between cubes and cube roots.
CUBES
AND
CUBE
ROOTS
Cubing a number is raising that number to a power of _____ or multiplying it by itself three times.
The cube root is an ________________ operation of cubing a number and “undoes” an exponent of 3.
9
In 1-4, use squares and square roots to evaluate the given expression.
5. Three equations are given below. Use inverse operations to isolate the variable. Be sure to check your solution by plugging it back into the original equation.
10
Complete the table as a reference for the first ten perfect cubes.
13 | 23 | 33 | 43 | 53 |
|---|---|---|---|---|
| | | | |
63 | 73 | 83 | 93 | 103 |
|---|---|---|---|---|
| | | | |
11
Match
1
27
125
343
729
13
33
53
73
93
12
Match
Match the Following
1000
23
43
63
83
103
SQUARE ROOTS AND CUBE ROOTS
Three expressions with exponents are given below. For each expression, label the base and the exponent.
Then, explain its mathematical meaning by writing it in expanded form.
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