Multiply by Powers of 10
We will Multiply by a Power of 10 greater than 1.
Examples
1). 5.98 X 10,000
5.98 X 10,000: 10,000 has 4 zeros so we need to move the decimal point 4 places to the right.
= 59,800
We will multiply by a Power of 10 less than 1.
2). 93.6 X 0.1
93.6 X 0.1: 0.1 has one place after the decimal point so we need to move the decimal point one place to the left.
= 9.36
Notice when you multiply by a power of 10 greater than 1 it makes the product bigger:
Decimal |
Power of 10 |
Product |
2.72 | x 1 |
2.72 |
2.72 | x 10 |
27.2 |
2.72 | x 100 |
272 |
2.72 | x 1000 |
2,720 |
2.72 | x 10,000 |
27,200 |
0.1= 1/10, 0.01= 1/100, 0.001= 1/1000
Notice that when you multiply by a power of 10 less than one, it makes the product smaller:
Decimal | Power of 10 |
Product |
7.84 | x 0.1 |
0.784 |
7.84 | x 0.01 |
0.0784 |
7.84 | x 0.001 |
0.00784 |
Activity: Ticket out the Door
Download here:Ticket out the door
Have students write a paragraph about what they learned. You can use this as an informal assessment.
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Created by Wanda Collins May 10, 2015 at 1:56pm. Last updated by Wanda Collins May 10, 2015.
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Question: Why is this a mathematical limerick?
( (12 + 144 + 20 + 3 Sqrt[4]) / 7 ) + 5*11 = 9^{2} + 0 .
Answer:
A dozen, a gross, and a score,
plus three times the square root of four, divided by seven, plus five times eleven, is nine squared and not a bit more.
---Jon Saxton (math textbook author)
Presentation Suggestions:
Challenge students to invent their own math limerick!
The Math Behind the Fact:
It is fun to mix mathematics with poetry.
Resources:
Su, Francis E., et al. "Math Limerick." Math Fun Facts.
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