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

Scientific Notation: Mixed

Practice

Procedural Lesson
Grade 8 · Unit 3 · Lesson 7
MC: 8 .EE. 4 

Problem of the Day

Objective: I will multiply, divide, subtract, and add numbers in scientific notation.

Vocabulary Teacher Resources

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

Considerations:

Have students refer to previous lessons and apply the

strategies used to simplify expressions in scientific

method through multiplication and division. Have

students pay attention to precision since they will be

applying various steps. Calculators should be used for

checking their work. For students that continue to

struggle with the strategies, remind them that they

can also simplify the expressions by changing both

numbers out of scientific notation.

Steps:

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.

Application of MPs:

MP1: How would you describe what you are trying to

find?

I am trying to find the sum or the difference of

____________________________.

MP2: What properties might we use to find a

solution?

A property that we might use to find a

solution can be the __________________.

1 2 3 4 5 6 7 8

* ^ * * * *

MPs

Applied MP

* Embedded MP

Student Journal Pages

144 - 149