Monday, 1 October 2018

D4 Decimals: Addition & Subtraction


DECIMAL NUMBERS
            10 of 0.1 is adding of 10 0.1s = 1
            0.1 + 0.1 + 0.1 + 0.1 + 0.1 + 0.1 + 0.1 + 0.1 +0.1 + 0.1 = 1.0
            10 tenths = 1 one
DECIMAL NUMBERS: ADDITION
Example
      Add 7.3 and 14.5
Method
Step1:  Line numbers using the decimal point
                            7.3
                        +14.52
                                   
Step2‘Fill’ zero to equal decimal place
                          7.30
                      +14.52
                                 
Step3: Add
                          7.30
                      +14.52
                        21.82


<<Filling The Decimal Number With Zero - 12.5 is the same as 12.50 or 12.500

The zero can be used to show rounding digit>>


            12.5 is the same as 12.50 or 12.500
Example
     Add 237 and 8.42 and 25.8
Method
Step1:  Line the number using the decimal point
                           237
                               8.42
                           +25.8
Step2: ‘Fill’ zero to equal decimal place
                           237.00
                               8.42
                           +25.80
Step3: Add
                           237.00
                               8.42
                           +25.80
                          271.22 

ESTIMATE
Example
      Add 6.3 and 12.6
Method
Step1:  Line the number using the decimal point
                            6.3
                        +12.8
                                 
Step2: ‘Fill’ zero to equal decimal place
                            6.3
                        +12.8
                                 
Step3: Add
                            6.3
                        +12.8
                          19.1 

<< Estimate: To Check If the Answer Is Reasonable >>

Step1:  Round off each number
               6.3 = 6, 12.8 = 13.
Step2:  Add the numbers
               6 + 13 = 19
Step3:  Compare the number.
            The difference is 0.1. The answer is reasonable.

DECIMALS: SUBTRACTION

Example
     Subtract 1.5 from 8.73
Method
Step1:  Line the number using the decimal point
                           8.73
                          -1.5  
                                  
Step2: ‘Fill’ zero to equal decimal place
                           8.73
                          -1.50
                                  
Step3: Subtract
                           8.73
                          -1.50
                           7.23

Word Problems
Example (1)
Dave and Sally have a total mass of 82.15 kg. Sally’s mass is 39.6. What is Dave’s mass?
Step1:  Underline keywords and list objects
                                    Sally    Dave
Step2: Draw Model
              
Step3: Solve
            Step1: Align Decimal point
                        82.15
                    -   39.60
                                  
            Step2: ‘Fill’ zero to equal decimal place
                        82.15
                      39.60
                                 
            Step3: Subtract
                        82.15
                      -39.60
                       43.55
Dave’s mass is 43.55 kg
Example (2)
Amy jogged a distance of 2.6km and walked a distance of 1.25 km. What was the total distance that Amy covered?

Step1Underline keywords and list objects
                Amy
Step2: Draw Model and link numbers
             
Step3: Solve
            Step1: Align Decimal point
                        2.6
                    +  1.25
                               
            Step2: ‘Fill’ zero to equal decimal place
                        2.60
                    +  1.25
                               
            Step3: Subtract
                        2.60
                    +  1.25
                        3.85 km
Amy covered a distance of 3.85 km