Scientific Notation February 26, 2014 Pages
,590,000 = = Move decimal point 7 places to the left. Exponent is 7. Move decimal point 5 places to the right. Exponent is – 5. Write the number in scientific notation , = Move decimal point 5 places to the left. Exponent is 5.
Exponent is 6. Move decimal point 6 places to the right Exponent is – 4. Move decimal point 4 places to the left. = 2,007,500 = Write the number in standard form – 4 = Exponent is – 4. Move decimal point 4 places to the left. 6.
SOLUTION STEP 1 Write each number in standard form. 7. Order 103,400,000, , and 80,760,000 from least to greatest x 10 8 = 780,000,000 STEP 2 Write in order from least to greatest. STEP 3 Write the original numbers in order from least to greatest. 80,760,000; 103,400,000; ,760,000; 103,400,000; 780,000,000
Evaluate the expression. Write your answer in scientific notation. 8. ( )( ) ( ) ( )= = ( ) = (10 1 ) = 10 8 Commutative property and associative property Product of powers property Write in scientific notation. Associative property = Product of powers property
9. ( ) – 2 (10 3 ) – 2 = – = 2.25 Power of a product property Power of a power property ( ) – 1.6 = 10 3 – Product rule for fractions (10 7 ) = 0.75 ( ) – = (10 1 – = 10 7 ) 10 6 = 7.5 Quotient of powers property Write 0.75 in scientific notation. Associative property Product of powers property
SOLUTION STEP 1 Write each number in standard form. Order 2.7 × 10 5, × 10 4, and 27,500 from least to greatest × 10 5 = 275,000; x 10 4 = 34,010 STEP 2 Write in order from least to greatest. 27,500; 34,010; 275,000 STEP 3 Write the original numbers in order from least to greatest. 27,500; × 10 4, and 2.7 × 10 5
Evaluate the expression. Write your answer in scientific notation. 12. ( ) – 2 2 (10 5 ) – = – = 1.69 Power of a product property Power of a power property – 1.5 = 10 2 – Product rule for fractions 10 7 = 3 Quotient of powers property 14. ( ) ( ) = Commutative property and associative property Product of powers property ( ) ( )=
HOMEWORK Page 515, #4-38 even