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Copyright © Swun MathCopyright © Swun Math (^) Grade 8 Unit 3 Lesson 7 P TE

Homework

Unit 3 · Lesson 7: Scientific Notation:
Mixed Practice

(^)
Objective: I will multiply, divide, subtract, and add numbers in scientific notation.
Vocabulary Steps
Adding & Subtracting in Scientific Notation
(4.342 × 10 ²) + (3.871 × 10 ³) =
Convert to same power:
(4.342 × 10 ²) + (38.71 × 10 ²)
Add decimals:
4.342 + 38.71 = 43.052
Bring down exponent:
43.052 × 10 ² =
Proper Scientific Form
4.3052 × 10 ³
Multiplying in Scientific Notation

1. Multiply coefficients.


2. Add exponents.

(3 × 102 )⋅(5 × 104 )=

3 × 5 = 15

10 2+4= 106

15 × 106

1.5 × 107

Proper Scientific Form

Dividing in Scientific Notation^

1. Divide coefficients.


2. Subtract exponents.

( 15 × 106 )÷(3 × 102 )=

15

3 =^5

10 6−2= 104

5 × 104

1. Check the operation you are using first.


2. If adding or subtracting, convert to the same
   exponent.


3. Work with coefficients.
   (Use commutative/associative properties)


4. Work with exponents. (Use exponent rules)


5. Convert answer to proper scientific form.

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