G8

Input/Model

(Teacher Presents)

Directions: Simplify the expression. Leave the solution in scientific notation.

(2.5 × 10^3 ) × (8 × 10^2 )

Solution:

Verify that each number is written in scientific notation.

Use the commutative property to move numbers and multiply the two lead numbers and the base ten
together.

(2.5 × 8) × (10^3 × 10^2 )

20 × 103 + 2

20 × 10^5 Not in scientific notation. Need to change 20 to 2.0.

2.0 × 10^6
Answer: 2.0 × 10^6

(9.5 × 10^3 ) ÷ (5 × 10^2 )

Solution:

Verify that each number is written in scientific notation.

Change the division problem into a ratio.

9 .5⋅ 10

3 5⋅ 10^2

Use the commutative property to create two ratios.

95.^5 ⋅^10

3 102

Simplify the first ratio by dividing 9.5 by 5.

1.9⋅^10

3 102 Use the rules for multiplying/dividing exponents.

1.9 × 103 – 2

1.9 × 10^1
Answer: 1.9 × 10^1

Input/Model