Wake County Public School System, 2012
Teacher Guide Grade 5 Day 22 Standard(s) 5NBT.1, 5.NBT.2
Wake County Public School System, 2012
Transparency/Blackline Master Grade 5 Day 22 Standard(s) 5NBT.1, 5.NBT.2
Exploring Multiplication of 10
10 x 1 =
10 x 10 =
10 x 10 x 10 =
10 x 10 x 10 x 10 =
10 x 10 x 10 x 10 x 10 =
10 x 10 x 10 x 10 x 10 x 10 =
10 x 10 x 10 x 10 x 10 x 10 x 10 =
Exploring the Power of a 10
Look at the powers of 10 shown below. What do you notice about the exponent next to the 10?
10 x 1 = 101
10 x 10 = 102
10 x 10 x 10 = 103
Each problem below shows a power of 10. Write the expanded form of each. Use a calculator to solve.
Power of 10 / Expanded Form / Solution104
105
106
107
108
109
1010
Exploring the Power of a 10 with Decimals
Let’s explore what happens to a decimal when I multiply it by a power of 10?
Expression / Solution (Show your work)39.45 x 101
9.78 x 103
100.4 x 104
5.567x 102
Create your own.
Create your own.
Create your own.
Exploring Division of Powers of Ten
Let’s explore what happens to a decimal when I divide it by a power of 10?
Expression / Solution (Show your work)350 ÷ 103
1200 ÷ 102
100.4 ÷ 102
7,500 ÷ 104
Create your own.
Create your own.
Create your own.
Wake County Public School System, 2012
Blackline Master Grade 5 Day 22 Standard(s) 5NBT.1, 5.NBT.2
The Power of a Ten
Look at the problems below. Figure out their solution and prove your answer in TWO WAYS with pictures or a number problem. An example has been done for you.
Problem / Solution 1 / Solution 2EXAMPLE: 3 x 104= _30,000______/ 3 x 104= 3 x 10 x 10 x 10 x 10
3 x 10 = 30
30 x 10 = 300
300 x 10 = 3,000
3,000 x 10 = 30,000 / 3 x 104= 3 x 10,000.
I know that I multiply 3 x 10,000 because the 4 above the 10 tells me that there are 4 zeroes in my number.
10 x 10 x 10 x 10 = 10,000
345.6 ÷ 103 = ______
7.8 x 102 = ______
20.9 ÷ 102 = ______
259.6 x 105 = ______
Wake County Public School System, 2012
Answer Keys Grade 5 Day 22 Standard(s) 5NBT.1, 5.NBT.2
Answer Keys
See Student Responses for all explainations
Exploring Multiplication of 10
10
100
1,000
10,000
100,000
1,000,000
10,000,000
Exploring the Power of a 10
10 x 10 x 10 x 10 = 10,000
10 x 10 x 10 x 10 x 10 = 100,000
10 x 10 x 10 x 10 x 10 x 10 = 1,000,000
10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000,000
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000,000
Exploring the Power of a 10 with Decimals
394.5
9,780
1,004,000
556.7
Exploring Division of Powers of Ten
.35
12
1.004
.75
The Power of a Ten
.3456
780
.209
25,960,000
Wake County Public School System, 2012