6.2 Operations on Decimals

Addition and Subtraction

 

Rename as fractional equivalent and get common denominator.

 

7.812 + 14.07 + 17

 

 

 

54.03 - 7.154

 

 

 

 

 

Traditional Algorithm - "line up the decimal points"

 

#3

#19

 

 

 

 

 

Multiply Decimals

 

Convert to fractions -

4.01 ´ 6.2

 

 

0.04 ´ 0.003

 

 

 

Traditional Algorithm - multiply like "whole numbers" and count total number of decimal places.

 

 

Special Case   

          If multiply by 10, 100, 1000, ….  (i.e. a power of 10)

 

 

 

 

 

 

Divide Decimals

 

          .96 ¸ 3

 

          0.96 ¸ 0.03

 

          9.6 ¸ 0.003

 

 

          Traditional Algorithm  "move decimal point of divisor all the way to the right, and move the other the same number of places"  

 

          #7

 

 

 

 

 

Mental Computation              pg 308

 

 

 

 

Rounding Decimals

 

          8.3546 to the nearest tenth,   …..thousandth   ……. Whole number …….hundredths

 

 

 

 

         

          #78

 

 

 

 

Assignment:  6.2; pg. 311; 1, 2, 4 6a, 8r, 10r, 11, 14, 18, 20, 21, 22