Do Now

1. Do Now Write each product using an exponent. • 7 × 7 2) 9 × 9 × 9 × 9 × 9 3) 26 × 26 × 26 × 26 Write each power as a product of the same factor. Then find the value. 4) 13 5) 54 6) 103 DWP #6 1 625 1000

2. 9/26/2013 1-3 B Multiply by Powers of 10

3. To multiply a decimal by a power of 10 greater than 1, move the decimal point to the RIGHT the SAME # of places as the # of 0s in the power of 10.

4. Example 1 Find 0.26 × 100 0.26 × 100 = 0.26 100 has 2 zeros, so move the decimal point 2 places to the right. = 26 Since 26 is a whole number, remove the leading zero and decimal point. 0.26 × 100 = 26

5. Example 2 Find 7.69 × 1,000 7.69 × 1,000 = 7.690 1,000 has 3 zeros, so move the decimal point 3 places to the right. Annex zeros as needed. = 7,690 Remove the decimal point and add a comma. 7.69 × 1,000 = 7,690

6. Example 3 The Sun is about 93 million miles from Earth. Write this number in standard form. 93 million = 93 × 1,000,000 The word million means 1,000,000. = 93.000000 1,000,000 has 6 zeros. So, move the decimal point 6 places to the right. Annex zeros as needed. = 93,000,000 Add commas. The Sun is 93,000,000 miles from Earth.

7. To multiply a decimal by a power of 10 less than 1 move the decimal point to the LEFT the SAME # of places as there are after the decimal point.

8. Example 4 Find 5.75 × 0.01 5.75 × 0.01 = 05.75 0.01 has 2 places to the right of the decimal point. So, move the decimal point 2 places to the left. = 0.0575 Annex zeros as needed. 5.75 × 0.01 = 0.0575

9. Exit Ticket Find each product. • 14.75 × 100 • 0.034 × 1,000 • 1.98 × 100,000 • The estimated population of Miami-Dade County in 2007 was about 2.4 million. Write this number in standard form. 1,475 34 198,000 2,400,000

10. Homework • Pg. 68 #1-30 Evens • Quiz Corrections due next Wednesday • Chapter 1 Test Tuesday