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.

Found on the Web:

PowerPoint:

Powers of 10

Multiplying Powers of 10

Web Games:

Flash Cards

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Notes

Figure This Challenge #24

 

  • Complete Solution will be given on May 13, 2013

Complete Solution:

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Created by Wanda Collins May 10, 2014 at 8:11pm. Last updated by Wanda Collins May 10.

Math Homework Help Online

Fun Math Facts:

Math Limerick

Question: Why is this a mathematical limerick?

( (12 + 144 + 20 + 3 Sqrt[4]) / 7 ) + 5*11 = 92 + 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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