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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) 1 3 5) 5 4 6) 10 3. DWP #6. 1. 625. 1000. 9/ 26/2013 1-3 B Multiply by Powers of 10.

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Do now

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) 546) 103

DWP #6

1

625

1000


9 26 2013 1 3 b multiply by powers of 10

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


Do now

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.


Example 1

Example 1

Find 0.26 × 100

0.26 × 100 = 0.26100 has 2 zeros, so move the decimal point 2 places to the right.

= 26Since 26 is a whole number, remove the leading zero and decimal point.

0.26 × 100 = 26


Example 2

Example 2

Find 7.69 × 1,000

7.69 × 1,000 = 7.6901,000 has 3 zeros, so move the decimal point 3 places to the right. Annex zeros as needed.

= 7,690Remove the decimal point and add a comma.

7.69 × 1,000 = 7,690


Example 3

Example 3

The Sun is about 93 million miles from Earth. Write this number in standard form.

93 million = 93 × 1,000,000The word million means 1,000,000.

= 93.0000001,000,000 has 6 zeros. So, move the decimal point 6 places to the right. Annex zeros as needed.

= 93,000,000Add commas.

The Sun is 93,000,000 miles from Earth.


Do now

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.


Example 4

Example 4

Find 5.75 × 0.01

5.75 × 0.01 = 05.750.01 has 2 places to the right of the decimal point. So, move the decimal point 2 places to the left.

= 0.0575Annex zeros as needed.

5.75 × 0.01 = 0.0575


Exit ticket

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


Homework

Homework

  • Pg. 68 #1-30 Evens

  • Quiz Corrections due next Wednesday

  • Chapter 1 Test Tuesday


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