6th Grade Math Textbook, Fundamentals

Multiply: (1.05     109 )(8)

Press 1. 0 5 9 8

So (1.05    109 )(8) 8.4   109 or

8,400,000,000.

Divide: (4.35   1010 )  3000

Press 4. 3 5 10 3000

So (4.35    1010 )  3000 1.45     107

or 14,500,000.

Lesson 4-11 for exercise sets. &KDSWHU 

Simplify. Write the quotient in scientific notation.

Divide:

    10 ^4

0.03    10 ^4 Divide the decimal factor by the whole number.

(3  10 ^2 )    10 ^4 Write 0.03 in scientific notation.

3 (10^2    10 ^4 ) Use the Associative Property.

3   10 [^2 (4)] Apply the Law of Exponents for Multiplication.

3   10 ^6

3.6

120

3.6     10 ^4

120

1

To divide a number expressed in scientific notation by a whole number,

divide the decimal factor by the whole number. Express the result

in scientific notation. Then multiply the powers of 10.

Divide:

    106

0.8     106

(8  10 ^1 )    106 Write 0.8 in scientific notation.

8 (10^1    106 ) Use the Associative Property.

8   10 (^1 6)

8   105

Apply the Law of Exponents

for Multiplication.

2.4

3

2.4     106

3

2.4     106

3

On the calculator, the key is used to enter the exponent

of a power of 10 that is being multiplied or divided.

Multiply or divide. Write the answer in scientific notation.

1.2(7.5     103 ) 2.(6.3    10 ^5 )(6) 3. 4.

5.3(1.4     106 ) 6.(4.1    103 )(9) 7. 8.

9.Discuss and Write List the steps you would use to simplify 4(3.2  10 ^5 ).

8.03    10 ^6

803

6.6     10 ^4

600

9.9     108

11

2.15    107

5

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Check:

0.000003  3    10 ^6

3   10 ^6  3  10 ^6 Tr u e

3.6 0.0001

120

0.00036

120

3.6     10 ^4

120

Check:

Simplify.

800,000

8   105

8   105  8     105 Tr u e

Write the power of 10

in standard form.

2,400,000

3

2.4 1,000,000

3

2.4     106

3