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3870+92+7+497

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Cayley H. | Cornell Tutor Specializing in SAT Prep and HS MathCornell Tutor Specializing in SAT Prep a...
5.0 5.0 (41 lesson ratings) (41)
2
To show work in an addition problem, line up the numbers vertically like this:
 
  3870
      92
        7
+  497
 
 
*Note: the ones place (orange) os lined up, the tens place (black) is lined up, the hundreds place is lined up (green) and the thousands place is lined up (grey)
 
Start from the right column and add up the digits: 0+2+7+7=16
There is only room for one digit below that column, so the next step is to write that digit and carry the one to the next column (see the small italicized one beneath the next column). 
 
      1
  3870
      92
        7
 + 497
        6
 
Repeat that step for the next column, but also use the '1' carried over from the last step: 1+7+9+9=26. Write down the 6 at the bottom and carry the two to the next column.
 
    2 1
  38
70
    
 9     
        7
+  497
      66
 
Repeat for the next column
 
  1  2  1
  3870
      92
        7
 + 497
    466
 
And for the following column
 
     1 2 1
  3870
      92
        7
 + 497
   4466
Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
5.0 5.0 (3 lesson ratings) (3)
0
3870 + 92 + 7 + 497 =
 
3(10^3) + 8(10^2) + 7(10^1)
                              + 9(10^1) + 2(10^0)
                                               + 7(10^0)
             + 4(10^2) + 9(10^1) + 7(10^0) =
 
3(10^3) + 12(10^2) + 25(10^1) + 16(10^0) =
 
3(10^3) + (1(10^1)+2(10^0))(10^2)
+ (2(10^1)+5(10^0))(10^1) + (1(10^1)+6(10^0))(10^0) =
 
3(10^3) + 1(10^3)+2(10^2)
+ 2(10^2)+5(10^1) + 1(10^1)+6(10^0) =
 
4(10^3) + 4(10^2) + 6(10^1) + 6(10^0) =
 
4466
 
This is our place value base 10 number system.
Crystal H. | Chemistry and English tutorChemistry and English tutor
4.7 4.7 (91 lesson ratings) (91)
0
Just line it up biggest to smallest:
 
3870
  497
+  92
      7
 4466