** Divide by Powers of 10**

**We will divide by powers of 10 greater than 1. **

**Examples:**

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

Decimal | Power of 10 |
Quotient |

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 |
Quotient |

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**

**PowerPoint:**

**Multiplying and Dividing by Powers of 10**

**Web Games:**

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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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