Addition
Traditional method or column addition
Requires you to understand that the number such as `385` is in fact three 100’s eight 10’s and five 1’s.
Or `300 + 80 + 5`
And this place value system is called the decimal system.
Remember this is better than adding pounds shillings and pence.
NOTE:
`d` = pennies = `12` pennies in a shilling
`S` = shillings = `20` shillings in a pound
`£` = Pound = `240` pence `(12xx20=240)`
and `8d+7d+10d=25d` or `2` shillings and `1d`
and `4S+5S+3S` and `2S` carried over is `14` shillings
Example 1
`398+427`
`3` | `9` | `8` |
`4` | `2` | `7` |
`8` | `2` | `5` |
Answer: `=825`
To see this example step by step
Traditional addition
Example 1
`398+427`
3 | 9 | 8 | |||
`+` | 4 | 2 | 7 | ||
1 | |||||
3 | 9 | 8 | Add the ones (8 ones `+`7 ones `=`15 ones) | ||
`+` | 4 | 2 | 7 | Regroup (15 ones `=`1 ten `+`5 ones) | |
5 |
1 | 1 | ||||
3 | 9 | 8 | Add the tens (1 ten `+`9 tens `+`2 tens `=`12 tens) | ||
`+` | 4 | 2 | 7 | Regroup (12 tens `=`1 hundred `+`2 tens) | |
2 | 5 |
1 | 1 | ||||
3 | 9 | 8 | Add the hundreds (1 hundred `+`3 hundred `+`4 hundred `=`8 hundred) | ||
`+` | 4 | 2 | 7 | ||
8 | 2 | 5 |
Answer: `=825`
Example 2
`365+297`
`3` | `6` | `5` |
`2` | `9` | `7` |
`6` | `6` | `2` |
Answer: `=662`
To see this example step by step
Traditional addition
Example 2
`365+297`
3 | 6 | 5 | |||
`+` | 2 | 9 | 7 | ||
1 | |||||
3 | 6 | 5 | Add the ones (5 ones `+`7 ones `=`12 ones) | ||
`+` | 2 | 9 | 7 | Regroup (12 ones `=`1 ten `+`2 ones) | |
2 |
1 | 1 | ||||
3 | 6 | 5 | Add the tens (1 ten `+`6 tens `+`9 tens `=`16 tens) | ||
`+` | 2 | 9 | 7 | Regroup (16 tens `=`1 hundred `+`6 tens) | |
6 | 2 |
1 | 1 | ||||
3 | 6 | 5 | Add the hundreds (1 hundred `+`3 hundred `+`2 hundred `=`6 hundred) | ||
`+` | 2 | 9 | 7 | ||
6 | 6 | 2 |
Answer: `=662`