Weclome ActivityNY Daily News - Tibetan mastiff puppy sells for $2 million in China. The ancient breed is a must-have pet for China's wealthy, with prices for the giant dogs reaching into the millions. (Thanks Lincoln for finding the article )1.) Write this cost in standard form. 2.) I paid about $250 to adopt M.D.F.M. About how many Dixie’s could I have bought with the cost of 1 Tibetan mastiff? 3.) The average person living in China makes about$51,500. How many years would it take to buy a Tibetan mastiff on this salary? Round to the nearest year.
Welcome Activity
Write each product using an exponent.1) 7 × 7 2) 9 × 9 × 9 × 9 × 93) 26 × 26 × 26 × 26
Write each power as a product of the same
factor. Then find the value.4) 0.53 5) 1.52 6) 6.52
0.125 2.25 42.25
10/8/2015 1-3 B Multiply by Powers of 10
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 1Find 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
Example 2Find 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.
= 7,690Remove the decimal point and add a comma.
7.69 × 1,000 = 7,690
Example 3The 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.
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 4Find 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
Your Turn
Find each product. 1) 14.75 × 100
2) 0.034 × 1,000
3) 1.98 × 100,000
4) 1.98 × 0.1
5) The estimated population of Miami County in 2007 was about 2.4 million. Write this number in standard form.
1,475
34
198,000
2,400,000
.198
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