2-10 Adding and
Subtracting Decimals
       Math Notes
     Number Sense 2.1
What you’re learning today...
What you’re learning today...



Number Sense 2.1
What you’re learning today...



Number Sense 2.1

     Add, subtract, with decimals and verify
     the reasonabless of the results.
Find 4.73 + 3.54
Find 4.73 + 3.54
STEP ZEROa: Line up
 decimals properly
Find 4.73 + 3.54
STEP ZEROa: Line up



               4.73
 decimals properly




             + 3.54
Find 4.73 + 3.54
STEP ZEROa: Line up



               4.73
 decimals properly




             + 3.54
Find 4.73 + 3.54
STEP ZEROa: Line up



               4.73
 decimals properly




             + 3.54
Find 4.73 + 3.54
STEP ZEROa: Line up



                4.73
 decimals properly

 STEP ZEROb: Use
guidelines to ensure




              + 3.54
      neatness
Find 4.73 + 3.54
STEP ZEROa: Line up



                4.73
 decimals properly

 STEP ZEROb: Use
guidelines to ensure




              + 3.54
      neatness
Find 4.73 + 3.54
STEP ZEROa: Line up             STEP 1: Add the


                4.73
 decimals properly
                                  hundredths.
 STEP ZEROb: Use
guidelines to ensure
                                   Regroup.



              + 3.54
      neatness
Find 4.73 + 3.54
STEP ZEROa: Line up             STEP 1: Add the


                4.73
 decimals properly
                                  hundredths.
 STEP ZEROb: Use
guidelines to ensure
                                   Regroup.



              + 3.54
      neatness




                   7
Find 4.73 + 3.54
STEP ZEROa: Line up             STEP 1: Add the


                4.73
 decimals properly
                                  hundredths.
 STEP ZEROb: Use
guidelines to ensure
                                   Regroup.



              + 3.54
      neatness
                                  STEP 2: Add the
                                 tenths. Regroup if
                                      you can.




                   7
Find 4.73 + 3.54
STEP ZEROa: Line up    1        STEP 1: Add the


                4.73
 decimals properly
                                  hundredths.
 STEP ZEROb: Use
guidelines to ensure
                                   Regroup.



              + 3.54
      neatness
                                  STEP 2: Add the
                                 tenths. Regroup if
                                      you can.




                  27
Find 4.73 + 3.54
STEP ZEROa: Line up    1        STEP 1: Add the


                4.73
 decimals properly
                                  hundredths.
 STEP ZEROb: Use
guidelines to ensure
                                   Regroup.



              + 3.54
      neatness
                                  STEP 2: Add the
                                 tenths. Regroup if
                                      you can.




                  27
                                 STEP 3: Add the
                                one. Regroup if you
                                       can.
Find 4.73 + 3.54
STEP ZEROa: Line up    1        STEP 1: Add the


                4.73
 decimals properly
                                  hundredths.
 STEP ZEROb: Use
guidelines to ensure
                                   Regroup.



              + 3.54
      neatness
                                  STEP 2: Add the
                                 tenths. Regroup if
                                      you can.




                8 27
                                 STEP 3: Add the
                                one. Regroup if you
                                       can.
Find 4.73 + 3.54
STEP ZEROa: Line up      1                     STEP 1: Add the


                4.73
 decimals properly
                                                 hundredths.
 STEP ZEROb: Use
guidelines to ensure
                                                  Regroup.



              + 3.54
      neatness
                                                    STEP 2: Add the
                                                   tenths. Regroup if
                                                        you can.




                8 27
                                                    STEP 3: Add the
                                                   one. Regroup if you
                                                          can.


                       Don’t forget to place the
                         decimal point in the
                             correct place.
Find 4.73 + 3.54
STEP ZEROa: Line up      1                     STEP 1: Add the


                4.73
 decimals properly
                                                 hundredths.
 STEP ZEROb: Use
guidelines to ensure
                                                  Regroup.



              + 3.54
      neatness
                                                    STEP 2: Add the
                                                   tenths. Regroup if
                                                        you can.




                8. 2 7
                                                    STEP 3: Add the
                                                   one. Regroup if you
                                                          can.


                       Don’t forget to place the
                         decimal point in the
                             correct place.
Find 53.261 + 53.214
Find 53.261 + 53.214
STEP ZEROa: Line up
 decimals properly
Find 53.261 + 53.214
STEP ZEROa: Line up



               53.261
 decimals properly




             - 53.214
Find 53.261 + 53.214
STEP ZEROa: Line up



               53.261
 decimals properly




             - 53.214
Find 53.261 + 53.214
STEP ZEROa: Line up



               53.261
 decimals properly




             - 53.214
Find 53.261 + 53.214
STEP ZEROa: Line up



                53.261
 decimals properly

 STEP ZEROb: Use
guidelines to ensure




              - 53.214
      neatness
Find 53.261 + 53.214
STEP ZEROa: Line up



                53.261
 decimals properly

 STEP ZEROb: Use
guidelines to ensure




              - 53.214
      neatness
Find 53.261 + 53.214
STEP ZEROa: Line up             STEP 1:


                53.261
 decimals properly           Subtract the
 STEP ZEROb: Use             thousandths.
guidelines to ensure           Regroup.


              - 53.214
      neatness
Find 53.261 + 53.214
STEP ZEROa: Line up        5       STEP 1:


                       53.261
                            1
 decimals properly              Subtract the
 STEP ZEROb: Use                thousandths.
guidelines to ensure              Regroup.


              - 53.214
      neatness
Find 53.261 + 53.214
STEP ZEROa: Line up        5       STEP 1:


                       53.261
                            1
 decimals properly              Subtract the
 STEP ZEROb: Use                thousandths.
guidelines to ensure              Regroup.


              - 53.214
      neatness




                     7
Find 53.261 + 53.214
STEP ZEROa: Line up        5       STEP 1:


                       53.261
                            1
 decimals properly              Subtract the
 STEP ZEROb: Use                thousandths.
guidelines to ensure              Regroup.


              - 53.214
      neatness

                                STEP 2: Subtract
                                 the hundredths.
                                  Regroup if you



                     7
                                       can.
Find 53.261 + 53.214
STEP ZEROa: Line up        5       STEP 1:


                       53.261
                            1
 decimals properly              Subtract the
 STEP ZEROb: Use                thousandths.
guidelines to ensure              Regroup.


              - 53.214
      neatness

                                STEP 2: Subtract
                                 the hundredths.
                                  Regroup if you


                    47
                                       can.
Find 53.261 + 53.214
STEP ZEROa: Line up        5        STEP 1:


                       53.261
                            1
 decimals properly               Subtract the
 STEP ZEROb: Use                 thousandths.
guidelines to ensure               Regroup.


              - 53.214
      neatness

                                 STEP 2: Subtract
                                  the hundredths.
                                   Regroup if you


                    47
                                        can.

                                 STEP 3: Subtract
                                    the tenths.
                                Regroup if you can.
Find 53.261 + 53.214
STEP ZEROa: Line up        5        STEP 1:


                       53.261
                            1
 decimals properly               Subtract the
 STEP ZEROb: Use                 thousandths.
guidelines to ensure               Regroup.


              - 53.214
      neatness

                                 STEP 2: Subtract
                                  the hundredths.
                                   Regroup if you



                   047
                                        can.

                                 STEP 3: Subtract
                                    the tenths.
                                Regroup if you can.
Find 53.261 + 53.214
STEP ZEROa: Line up        5        STEP 1:


                       53.261
                            1
 decimals properly               Subtract the
 STEP ZEROb: Use                 thousandths.
guidelines to ensure               Regroup.


              - 53.214
      neatness

                                 STEP 2: Subtract
                                  the hundredths.
                                   Regroup if you



                   047
                                        can.

 STEP 4: Subtract                STEP 3: Subtract
the ones and tens.                  the tenths.
                                Regroup if you can.
Find 53.261 + 53.214
STEP ZEROa: Line up        5        STEP 1:


                       53.261
                            1
 decimals properly               Subtract the
 STEP ZEROb: Use                 thousandths.
guidelines to ensure               Regroup.


              - 53.214
      neatness

                                 STEP 2: Subtract
                                  the hundredths.
                                   Regroup if you



                 0 047
                                        can.

 STEP 4: Subtract                STEP 3: Subtract
the ones and tens.                  the tenths.
                                Regroup if you can.
Find 53.261 + 53.214
STEP ZEROa: Line up        5        STEP 1:


                       53.261
                            1
 decimals properly               Subtract the
 STEP ZEROb: Use                 thousandths.
guidelines to ensure               Regroup.


              - 53.214
      neatness

                                 STEP 2: Subtract
                                  the hundredths.
                                   Regroup if you



                0 0 047
                                        can.

 STEP 4: Subtract                STEP 3: Subtract
the ones and tens.                  the tenths.
                                Regroup if you can.
Find 53.261 + 53.214
STEP ZEROa: Line up        5                           STEP 1:


                       53.261
                            1
 decimals properly                                  Subtract the
 STEP ZEROb: Use                                    thousandths.
guidelines to ensure                                  Regroup.


              - 53.214
      neatness

                                                    STEP 2: Subtract
                                                     the hundredths.
                                                      Regroup if you



                0 0 047
                                                           can.

 STEP 4: Subtract                                   STEP 3: Subtract
the ones and tens.                                     the tenths.
                                                   Regroup if you can.
                       Don’t forget to place the
                         decimal point in the
                             correct place.
Find 53.261 + 53.214
STEP ZEROa: Line up        5                           STEP 1:


                       53.261
                            1
 decimals properly                                  Subtract the
 STEP ZEROb: Use                                    thousandths.
guidelines to ensure                                  Regroup.


              - 53.214
      neatness

                                                    STEP 2: Subtract
                                                     the hundredths.
                                                      Regroup if you



                0 0.047
                                                           can.

 STEP 4: Subtract                                   STEP 3: Subtract
the ones and tens.                                     the tenths.
                                                   Regroup if you can.
                       Don’t forget to place the
                         decimal point in the
                             correct place.

2-10 Adding and Subtracting Decimals

  • 1.
    2-10 Adding and SubtractingDecimals Math Notes Number Sense 2.1
  • 2.
  • 3.
    What you’re learningtoday... Number Sense 2.1
  • 4.
    What you’re learningtoday... Number Sense 2.1 Add, subtract, with decimals and verify the reasonabless of the results.
  • 5.
  • 6.
    Find 4.73 +3.54 STEP ZEROa: Line up decimals properly
  • 7.
    Find 4.73 +3.54 STEP ZEROa: Line up 4.73 decimals properly + 3.54
  • 8.
    Find 4.73 +3.54 STEP ZEROa: Line up 4.73 decimals properly + 3.54
  • 9.
    Find 4.73 +3.54 STEP ZEROa: Line up 4.73 decimals properly + 3.54
  • 10.
    Find 4.73 +3.54 STEP ZEROa: Line up 4.73 decimals properly STEP ZEROb: Use guidelines to ensure + 3.54 neatness
  • 11.
    Find 4.73 +3.54 STEP ZEROa: Line up 4.73 decimals properly STEP ZEROb: Use guidelines to ensure + 3.54 neatness
  • 12.
    Find 4.73 +3.54 STEP ZEROa: Line up STEP 1: Add the 4.73 decimals properly hundredths. STEP ZEROb: Use guidelines to ensure Regroup. + 3.54 neatness
  • 13.
    Find 4.73 +3.54 STEP ZEROa: Line up STEP 1: Add the 4.73 decimals properly hundredths. STEP ZEROb: Use guidelines to ensure Regroup. + 3.54 neatness 7
  • 14.
    Find 4.73 +3.54 STEP ZEROa: Line up STEP 1: Add the 4.73 decimals properly hundredths. STEP ZEROb: Use guidelines to ensure Regroup. + 3.54 neatness STEP 2: Add the tenths. Regroup if you can. 7
  • 15.
    Find 4.73 +3.54 STEP ZEROa: Line up 1 STEP 1: Add the 4.73 decimals properly hundredths. STEP ZEROb: Use guidelines to ensure Regroup. + 3.54 neatness STEP 2: Add the tenths. Regroup if you can. 27
  • 16.
    Find 4.73 +3.54 STEP ZEROa: Line up 1 STEP 1: Add the 4.73 decimals properly hundredths. STEP ZEROb: Use guidelines to ensure Regroup. + 3.54 neatness STEP 2: Add the tenths. Regroup if you can. 27 STEP 3: Add the one. Regroup if you can.
  • 17.
    Find 4.73 +3.54 STEP ZEROa: Line up 1 STEP 1: Add the 4.73 decimals properly hundredths. STEP ZEROb: Use guidelines to ensure Regroup. + 3.54 neatness STEP 2: Add the tenths. Regroup if you can. 8 27 STEP 3: Add the one. Regroup if you can.
  • 18.
    Find 4.73 +3.54 STEP ZEROa: Line up 1 STEP 1: Add the 4.73 decimals properly hundredths. STEP ZEROb: Use guidelines to ensure Regroup. + 3.54 neatness STEP 2: Add the tenths. Regroup if you can. 8 27 STEP 3: Add the one. Regroup if you can. Don’t forget to place the decimal point in the correct place.
  • 19.
    Find 4.73 +3.54 STEP ZEROa: Line up 1 STEP 1: Add the 4.73 decimals properly hundredths. STEP ZEROb: Use guidelines to ensure Regroup. + 3.54 neatness STEP 2: Add the tenths. Regroup if you can. 8. 2 7 STEP 3: Add the one. Regroup if you can. Don’t forget to place the decimal point in the correct place.
  • 20.
  • 21.
    Find 53.261 +53.214 STEP ZEROa: Line up decimals properly
  • 22.
    Find 53.261 +53.214 STEP ZEROa: Line up 53.261 decimals properly - 53.214
  • 23.
    Find 53.261 +53.214 STEP ZEROa: Line up 53.261 decimals properly - 53.214
  • 24.
    Find 53.261 +53.214 STEP ZEROa: Line up 53.261 decimals properly - 53.214
  • 25.
    Find 53.261 +53.214 STEP ZEROa: Line up 53.261 decimals properly STEP ZEROb: Use guidelines to ensure - 53.214 neatness
  • 26.
    Find 53.261 +53.214 STEP ZEROa: Line up 53.261 decimals properly STEP ZEROb: Use guidelines to ensure - 53.214 neatness
  • 27.
    Find 53.261 +53.214 STEP ZEROa: Line up STEP 1: 53.261 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness
  • 28.
    Find 53.261 +53.214 STEP ZEROa: Line up 5 STEP 1: 53.261 1 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness
  • 29.
    Find 53.261 +53.214 STEP ZEROa: Line up 5 STEP 1: 53.261 1 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness 7
  • 30.
    Find 53.261 +53.214 STEP ZEROa: Line up 5 STEP 1: 53.261 1 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness STEP 2: Subtract the hundredths. Regroup if you 7 can.
  • 31.
    Find 53.261 +53.214 STEP ZEROa: Line up 5 STEP 1: 53.261 1 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness STEP 2: Subtract the hundredths. Regroup if you 47 can.
  • 32.
    Find 53.261 +53.214 STEP ZEROa: Line up 5 STEP 1: 53.261 1 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness STEP 2: Subtract the hundredths. Regroup if you 47 can. STEP 3: Subtract the tenths. Regroup if you can.
  • 33.
    Find 53.261 +53.214 STEP ZEROa: Line up 5 STEP 1: 53.261 1 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness STEP 2: Subtract the hundredths. Regroup if you 047 can. STEP 3: Subtract the tenths. Regroup if you can.
  • 34.
    Find 53.261 +53.214 STEP ZEROa: Line up 5 STEP 1: 53.261 1 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness STEP 2: Subtract the hundredths. Regroup if you 047 can. STEP 4: Subtract STEP 3: Subtract the ones and tens. the tenths. Regroup if you can.
  • 35.
    Find 53.261 +53.214 STEP ZEROa: Line up 5 STEP 1: 53.261 1 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness STEP 2: Subtract the hundredths. Regroup if you 0 047 can. STEP 4: Subtract STEP 3: Subtract the ones and tens. the tenths. Regroup if you can.
  • 36.
    Find 53.261 +53.214 STEP ZEROa: Line up 5 STEP 1: 53.261 1 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness STEP 2: Subtract the hundredths. Regroup if you 0 0 047 can. STEP 4: Subtract STEP 3: Subtract the ones and tens. the tenths. Regroup if you can.
  • 37.
    Find 53.261 +53.214 STEP ZEROa: Line up 5 STEP 1: 53.261 1 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness STEP 2: Subtract the hundredths. Regroup if you 0 0 047 can. STEP 4: Subtract STEP 3: Subtract the ones and tens. the tenths. Regroup if you can. Don’t forget to place the decimal point in the correct place.
  • 38.
    Find 53.261 +53.214 STEP ZEROa: Line up 5 STEP 1: 53.261 1 decimals properly Subtract the STEP ZEROb: Use thousandths. guidelines to ensure Regroup. - 53.214 neatness STEP 2: Subtract the hundredths. Regroup if you 0 0.047 can. STEP 4: Subtract STEP 3: Subtract the ones and tens. the tenths. Regroup if you can. Don’t forget to place the decimal point in the correct place.