scientific notation february 26, 2014 pages 512-514

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Scientific Notation February 26, 2014 Pages 512-514

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Page 1: Scientific Notation February 26, 2014 Pages 512-514

Scientific Notation

February 26, 2014

Pages 512-514

Page 2: 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.

Page 3: Scientific Notation February 26, 2014 Pages 512-514

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.

Page 4: Scientific Notation February 26, 2014 Pages 512-514

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

Page 5: Scientific Notation February 26, 2014 Pages 512-514

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

Page 6: Scientific Notation February 26, 2014 Pages 512-514

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

Page 7: Scientific Notation February 26, 2014 Pages 512-514

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

Page 8: Scientific Notation February 26, 2014 Pages 512-514

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)=

Page 9: Scientific Notation February 26, 2014 Pages 512-514

HOMEWORKHOMEWORK

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