G8

Input/Model

(Teacher Presents)

Directions: Read and solve.

The news report had 4 0,000,000 people watching. What is that number in scientific
notation?

Solution:

The decimal needs to be between the 4 and 0.

This means that the decimal needs to be moved 7 places to the left: 4. 0

The new number is less than the original number. The exponent needs to be a positive.

Answer: 4 × 107

Directions: Read and solve.

The chemist found 6.8 × 10 –^8 traces of chlorine in the water. What is the number in
standard notation?^

Solution:

Since the power of 10 is negative, divide by a base of 10. 10 −8= 1018

Divide 6.8 by 100,000,000.

This means move the decimal to the left. Add zeros if spaces are needed.

6.8 × 10 –8 = 0.000000068

Answer: 0.000000068

Input/Model