G8

Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 3 Lesson 4 P TE

Challenge Problems

Directions: Solve.

1. Jim argues that there is no way a
   scientific notation number can be added
   with a whole number. Is Jim correct?
   Explain.

Solution:

• Incorrect


• Answers will vary. Sample response: Every whole
  number can be converted into scientific notation;
  therefore, every scientific notation number can be
  added with a whole number. This can occur by
  changing the whole number into scientific
  notation.
  2. What value of x will satisfy the equation?
  Check your answer.

푥푥 + 1.52 × 10^2 = 3.24 × 10^2

Solution:

• Identify what needs to be moved to the right side
  of the equation.


• 푥푥 + (1.52 × 10^2 ) = 3.24 × 10^2


• 푥푥 = 3.24 × 10^2 – (1.52 × 10^2 )


• 푥푥 = (3.24 – 1.52) × 10^2


• 푥푥 = 1.72 × 10^2
  Answer: 1.72 × 10^2

Extension Activity

* MP1: Make sense of the problem and persevere in solving it.

* MP4: Apply mathematics in everyday life.

Decide if each statement below is true or false.

True False

1. The perimeter of a triangle with a side length of 4.7 × 10^3 will be 14.1 × 109.


2. The payroll of the professional baseball team was 9.2 × 10^6. The payroll of the
   football team was 8.4^ × 10^5. The baseball team has a $8,360,000 higher payroll.


3. The news program had 1.5^ × 10^4 viewers on Monday. On Tuesday, they had 2.4^ ×
   104 viewers. The total viewers for both days is 3.9 × 10^4.