2-8 Multiplying a Power of Ten by a Whole Number 4 10 = ___________________ = ___________________ 4 1,000 = ___________________ 4 10,000 = __________________ 4 100,000 = _________________ 4 1,000,000 = ________________ Write a sentence to explain the pattern you notice.

Try some. 1.) 100  6 =4.) 55  1,000 = 2.) 9  10,000 =5.) 48  10,000 = 3.) 27  100,000 =6.) 100  349 =

Multiplying a decimal by a power of ten 4.2  10 = ___________________ 4.2  100 = ___________________ 4.2  1,000 = ___________________ 4.2  10,000 = __________________ 4.2  100,000 = _________________ 4.2  1,000,000 = _______________ _ Write a sentence to explain the pattern you notice. Write the steps to follow when multiplying by a power of ten. 1.) ________________________________________ 2.)________________________________________

Let’s try some! 1.) 1,000  2.9 = 2.)10,000  7.84 = 3.)100  8.69 = 4.) 1,000  4.2=

101 = _____________________________ 102 = _____________________________ 103 = _____________________________ 104 = _____________________________ 105 = _____________________________ 106 = _____________________________ Write a sentence to describe the pattern you noticed. Exponent Review:

Scientific Notation - A number is written in scientific notation, when it is written as a product (multiplication) of a number between 1 and 10 and a power of ten. 2-8 Scientific Notation 2.6  103 Number between 1 and 10 Power of ten

Write each number in standard form. 1.) ________2.) ___________ 3.) _______4.) ________ 5.) ______6.) ________ 7.) 3.67  105 ______8.) _________

Write each number in scientific notation. 9.) 23,000_____________________________ 10.) 4,000 _____________________________ 11.) 1,800 _____________________________ 12.) 45,000,000 _________________________ 13.) 7,980,000 __________________________ 14.) 9,056,000 __________________________