Math ­ N&N ­ Powers of 10 & Exp Form+Sci Not.notebook
September 23, 2014
Multiplying and Dividing by Powers of 10 and
Representing Numbers in Scientific Notation and Expanded Form
Learning goal: We are learning how to represent numbers in a variety of ways including
scientific notation and expanded form
Recall:
10 x 10
10 x 10 x 10
10 x 10 x 10 x 10
What about:
1.5 x 10
15 x 10
150 x 10
so, 1.5 x 103 =
Sep 22­8:41 PM
What about:
18.9 10
1.89 10
0.189 10
so, 18.9 103=
What can we say about multiplying and dividing by powers of 10?
Sep 22­9:01 PM
1
Math ­ N&N ­ Powers of 10 & Exp Form+Sci Not.notebook
September 23, 2014
On your own:
a) 102 x 45
b) 2.01 x 104
d) 1.3 102
e) 1000 104
c) 0.004 x 103
f) 14 567 106
Sep 22­9:09 PM
Express the number 1 756 300 on a place value chart.
Millions
Ones
Thousands
Hundreds
Tens
Hundreds
Ones
Hundreds
Tens
Ones
How can we express each place on the chart as a power of 10?
Express 1 756 300 in expanded form:
Sep 22­9:13 PM
2
Math ­ N&N ­ Powers of 10 & Exp Form+Sci Not.notebook
September 23, 2014
Express 1 756 300 in Scientific Notation:
On Your Own:
Standard Form
Expanded Form
360
Scientific Notation
3.6 x 102
3 x 103 + 6 x 102
520 000
Sep 22­9:33 PM
Exit ticket:
1) Which number is greatest?
4376
5 x 103 + 4 x 102
6.13 x 103
Prove your answer.
2) Explain how you can change a number in standard form to expanded form. Use an example to clarify your explanation.
Sep 22­9:41 PM
3