Operating With Scientific Notation3-4

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Operating With Scientific Notation3-4

Write each number in scientific notation.

2.091x106

1.08009x10-3

1. 13,000

2. 2,091,000

3. 0.001080090

1.3x104

Bell work!

Operating With Scientific Notation3-4

I can multiply and divide numbers written in scientific notation.

Today’s learning Target:

Operating With Scientific Notation3-4

4.6 102

Do division with me:

Show the steps: (5.97 1024) ÷ (1.3 1022)

1) Write them as ratio, or fraction

2) Separate the coeffients from the powers

3) Use your calculator to divide 5.97 by 1.3. Then, divide the powers (hint: bases stay the same, subtract the exponents.)

5.97 1024 1.3 1022

5.97 1024 1.3 1022

Operating With Scientific Notation3-4

= 2.0 101

Do more division with me:

Show the steps: (4.2 105 ) ÷ (2.1 104)

1) Write them as ratio, or fraction

2) Separate the coefficients from the powers

3) Use your calculator to divide 4.2 by 2.1, then divide the powers. (Hint: bases stay the same, subtract the exponents.)

4.2 105 2.1 104

4.2 105 2.1 104

Operating With Scientific Notation3-4

1) Write the ratio.

2) Divide the coefficients and divide the powers. Subtract exponents.

3) Write the result in scientific notation.

5.69 1026 5.97 1024

0.9531 102

5.69 1026 5.97 1024

9.531 101

You try one:

Show the steps: (5.69 1026 )÷ (5.97 1024)

Not in proper scientific notation!

Operating With Scientific Notation3-4

7.4 1022 kg

4.87 1024 66

0.0738 1024 kg

Do another with me:

1) Write the ratio.4.87 1024 66

2) Divide the coefficients and divide the powers.

3) Write the result in scientific notation.

4.87 1024 66

Not in scientific notation!

Operating With Scientific Notation3-4

Show the steps: (3.45 x 1013 )(8.53 x 109 )

= 29.429 x 1022

Try multiplication with me:

1) Write the problem.

2) Separate the coefficients from the powers

3) multiply the coefficients and the powers. Remember to add the exponents.

(3.45 x 1013 )(8.53 x 109 )

= (3.45 x 8.53)(1013 x 109 )

= (29.429)(1013+9 )

4) Write the result in scientific notation.= 2.9429 x 1023

coefficients powers

Not in proper scientific notation!

Operating With Scientific Notation3-4

Show the steps: (4.52 x 10-9)(5.78 x 109 )

= 26.1256 x 100

Try one:

1) Write the problem.

2) Separate the coefficients from the powers

3) multiply the coefficients and the powers. Remember to add the exponents.

(4.52 x 10-9 )(5.78 x 109 )

= (4.52 x 5.78)(10-9 x 109 )

= (26.1256)(10-9+9 )

4) Write the result in scientific notation.= 2.61256 x 101

coefficients powers

Not in scientific notation!

Operating With Scientific Notation3-4

Show the steps: (1.5 x 10-5 )(6.1 x 1012 )

= 9.15 x 107

Do another with me:

1) Write the problem.

2) Separate the numbers from the powers

3) multiply the coefficients and the powers. Remember to add the exponents.

(1.5 x 10-5 )(6.1 x 1012 )

= (1.5 x 6.1)(10-5 x 1012 )

= (9.15)(10-5+12 )

4) Write the result in scientific notation.

Operating With Scientific Notation3-4 Did you master today’s learning target?

Prove it with a two question quiz.

Operating With Scientific Notation3-4 Quick Quiz

1. Perform the indicated operation. Write your answer in scientific notation.(8.3 x 1022) (4.3 x 1018)A. 1.93 B. 0.193 104 C. 1.93 104 D. 1.93 1040  2. Perform the indicated operation. Write your answer in scientific notation.(8.3 x 1022) (4.3 x 1018)A. 1.26 104 B. 3.569 1040 C. 3.569 104 D. 3.569 1041

Operating With Scientific Notation3-4 Assignment

Lesson 3.4APage 107,

Problems 7-10, 13-16, 19

Do your assignment before you do anything else!