G8

Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 3 Lesson 1 C TE

Input/Model

(Teacher Presents)

Directions: Convert the standard form into scientific notation.

1. 1,500,0 00

Solution:

• Step 1: Is the number a big number or small number? Big


• Step 2: Will the exponent be positive or negative? Positive


• Step 3: Where is the decimal point now? If there is no decimal point, add one to the right of the ones place.


• Step 4: Count the number of places to move the decimal so there is a digit in the ones place: 6
  1 5 0 0 0 0 0
  1 5 0 0 0 0 0.

The new number will be 1.5.

• Step 5: Rewrite the expression in scientific notation.

Answer: 1.5 × 106

2. 0.02623

Solution:

• Step 1: Is the number a big number or small number? Small


• Step 2: Will the exponent be positive or negative? Negative


• Step 3: Where is the decimal point now? It is between the zeros.


• Step 4: Count the number of places to move the decimal so there is a digit in the ones place: 2
  0. 0 2 6 2 3
  0. 0 2 6 2 3


• Your new number will be 2.623.


• Step 5: Rewrite the expression in scientific notation.

Answer: 2. 623 × 10 −2

3. Write the standard form: 2. 623 × 102

Solution:

The exponent is positive, so move the decimal 2 places to the right.

Answer: 262.3

*Note the differences between #2 and #3 with the positive and negative exponents.