G8

Copyright © Swun MathCopyright © Swun Math (^) Grade 8 Unit 3 Lesson 2 P TE

Challenge Problems

Directions: Solve.

1. Bryan needs to convert the following
   number 10532017 into scientific notation.
   His work is listed below:

10,532,017

10.532017 × 10^6

Is he correct? Explain.

Solution:

Incorrect; solution is 1.0532017 × 107

2. When using a calculator to find the
   number of sand particles in a cup,
   Johnny’s scientific calculator read
   5.344e6. When converting this number
   into scientific notation, we would write

5.344 × (^106).
Convert these calculator’s readings to
scientific notation.
a) 6.72e–4
b) 3.291e9
Solution:
a) 6.72 × 10 –4
b) 3.291 × 10^9
Extension Activity

• MP1: Make sense of the problem and persevere in solving it.
  *MP4: Apply mathematics in everyday life.
  Work with a partner to find ways scientific notation is used in the real-world. Find at least 5
  examples. What pattern do you notice about the powers of ten?