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Math 5Exponents
Instructor: Mrs. Tew Turner
In this lesson we will learn about exponents and
powers of ten.
Math Warm-upLook for a pattern strategy.
Complete the following:1 x 9 + 2 =12 x 9 + 3 = 123 x 9 + 4 =___ x ___ + ___ =
Math Warm-upUse the look for a pattern strategy.
Complete the following:1 x 9 + 2 = 1112 x 9 + 3 = 111 123 x 9 + 4 = 1,1111234 x 9 + 5 = 11,111
In the last lesson you learned about the pattern of tens in the base ten number system. In this lesson we will answer the questions:
What is an exponent?
How can you write large and small numbers?
Vocabulary
exponent - the exponent of a number shows you how many times the number is to be used in a multiplication.It is written as a small number to the right and above the base number.example: 102 = 10 × 10 = 100
Review: The base ten number system consists of patterns of ten.
How can we use this knowledge and exponents to help us write large numbers?
First, let’s start small.
An exponent is written to the left of a number and looks like it is sitting on the shoulder of the number.
this is the exponent
10
2
The base is the number that you use as a factor in the multiplication of an exponential equation
10 this is the base
2
The exponent tells you how many times you multiply the base times itself.
10 base: 10 exponent: 2
10 x 10 (the base times itself 2 times)
2
The exponent tells you how many times you multiply the base times itself.
10 base: exponent:
3
The exponent tells you how many times you multiply the base times itself.
10 base: 10 exponent: 3
10 x 10 x 10
3
What is the solution to this problem?
10 base: 10 exponent: 3
10 x 10 x 10 = 1,000
Does that match one of the places on our place value chart?
3
What do you notice about this equation and its relationship to the place value chart? What about the relationship of the exponent to the number of zeros in the solution?
10 = 1,000
Write your answer in your Math Notebook.
3
In your Math Notebook
Solve each of these and label the place value that goes with each.
10 base: exponent:
4
10 base: exponent:
5
In your Math Notebook
Solve each of these and label the place value that goes with each.
Write one million as an exponent.
10 base: 10 exponent: 4
10 x 10 x 10 x 10 =10,000
Ten thousands
4
10 base: 10 exponent: 5
10 x 10 x 10 x 10 x 10 = 100,000
Hundred Thousands
5
In your Math Notebook
Solve each of these and label the place value that goes with each.
Write one million as an exponent.
101,000,000 (there are 6 zeros, so the exponent is 6)
6
Scientists use exponents to represent very large and very
small numbers. They call it scientific notation. Let’s see what these numbers mean in a
real world situation.
Quick Check
Write as an exponent1. 1,0002. 103. 1,000,000
Write in standard notation4. 105. 10
In your Math Notebook
52
Quick Check
Write as an exponent1. 1,000 = 102. 10 = 103. 1,000,000 = 10
Write in standard notation4. 10 = 100,0005. 10 = 100
In your Math Notebook
52
5
16
Today you learned how to write place values as exponents.
Good Work with this
lesson.
