Divide by Powers of 10


We will divide by powers of 10 greater than 1. 


Notice when the dividing by a power of 10 greater than 1, the quotient is less than the decimal:

  Decimal   Power of 10
  15.8  /   1,000   0.0158
  15.8  /    100   0.158
  15.8  /    10   1.58


1. 6.743/ 100

             100 has two zeros, so we have to move the decimal two places to the left.

            = 0.06743

2. 3,142/1,000

             1,000 has three zeros, so we have to move the decimal three places to the left.

            = 3.142

We will divide by powers of 10 less than 1.

Notice when dividing by a power of 10 less than 1, the quotient is greater than the decimal.

  Decimal   Power of 10
  15.8   /0.1   158
  15.8   /0.01   1,580
  15.8   /0.001   15,800

3. 0.02/0.1 - 0.1 has one decimal place, so we have to move the decimal one place to the right.

           = 0.2

Activity: KWL Chart

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Multiplying and Dividing by Powers of 10

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Figure This Challenge #56

  • Complete Solution will be given on May 17, 2015

Complete Solution:



Created by Wanda Collins May 10, 2015 at 1:56pm. Last updated by Wanda Collins May 10, 2015.

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Fun Math Facts:

Math Limerick

Question: Why is this a mathematical limerick?

( (12 + 144 + 20 + 3 Sqrt[4]) / 7 ) + 5*11 = 92 + 0 .


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)

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