scientific notation february 26, 2014 pages 512-514
TRANSCRIPT
Scientific Notation
February 26, 2014
Pages 512-514
4.259 1071. 42,590,000 =
2. 0.0000574 = 5.74 10-5
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.
3. 539,000 5.39 105= Move decimal point 5 places to the left.
Exponent is 5.
4. 2.0075 106 Exponent is 6.
Move decimal point 6 places to the right.
5. 1.685 10-4 Exponent is – 4.
Move decimal point 4 places to the left.
= 2,007,500
= 0.0001685
Write the number in standard form.
4.5 10 – 4 = 0.00045 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, 7.8 10 , and 80,760,000 from least to greatest.
8
7.8 x 108 = 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; 7.8 108
80,760,000; 103,400,000; 780,000,000
Evaluate the expression. Write your answer in scientificnotation.8. (8.5 102)(1.7 106)
(8.5 • 1.7) (102+6)=
14.45 108=
(1.445 101)= 108
1.445 (101 )= 108
Commutative property andassociative propertyProduct of powers property
Write 14.45 in scientificnotation.
Associative property
1.445 109 = Product of powers property
9. (1.5 10 3)– 2 (10 3)– 2= 1.52
10 6–= 2.25
Power of a product property
Power of a power property
10 3
10. (1.2 10 4)– 1.6
= 10 3 –
1.21.6
10 4Product rule for fractions
(10 7)= 0.75
(7.5 10 1)– = 10 7
7.5 (10 1 – = 10 7)
106= 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, 3.401 × 10 4, and 27,500 from least to greatest.
11.
2.75 × 105 = 275,000; 3.401 x 104 = 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; 3.401 × 104, and 2.7 × 105
Evaluate the expression. Write your answer in scientific notation.
12. (1.3 10 5)– 2 2(10 5)–= 1.32
10 10–= 1.69
Power of a product property
Power of a power property
10 2
13. 4.5 10 5
– 1.5 =
10 2 –
4.51.5
10 5Product rule for fractions
10 7= 3 Quotient of powers property
14. (1.1 107) (1.7 102)
4.62 109=
Commutative property andassociative propertyProduct of powers property
(1.1 1.7) (107 102)=
HOMEWORKHOMEWORK
Page 515, #4-38 even