Adding and subtracting decimal numbers Written methods.
Transcript of Adding and subtracting decimal numbers Written methods.
Adding and Adding and subtracting decimal subtracting decimal numbersnumbers
Written methodsWritten methods
AdditionAddition
ExampleExample2.15 + 1.772.15 + 1.77
2 . 1 52 . 1 5 + 1 . 7 7+ 1 . 7 7
11 2 . 1 52 . 1 5
+ 1 . 7 7+ 1 . 7 7 22
11 2 . 1 52 . 1 5
+ 1 . 7 7+ 1 . 7 7 3 . 9 23 . 9 2
5+7=125+7=12so write the 2 underneath and so write the 2 underneath and carry 1 over to the tens column carry 1 over to the tens column (this may also be written under (this may also be written under the answer)the answer)
7+1+1=97+1+1=9so write the 9 underneath so write the 9 underneath then repeat the process for the then repeat the process for the hundreds column.hundreds column.
When adding/subtracting decimals remember to line up the decimal points
SubtractionSubtraction ExampleExample
22.5 – 1.7722.5 – 1.77
2 2 . 5 02 2 . 5 0 -- 1 . 7 7 1 . 7 7
4 14 1
2 2 . 5 02 2 . 5 0 -- 1 . 7 7 1 . 7 7
33
1 141 14 11 2 2 . 5 02 2 . 5 0
-- 1 . 7 7 1 . 7 7 . 7 3. 7 3
1 141 14 11 2 2 . 5 0 2 2 . 5 0
-- 1 . 7 7 1 . 7 7 2 0 . 7 32 0 . 7 3
4 - 7= a negative number4 - 7= a negative numberso borrow one from the units column. so borrow one from the units column. Now we have 14 – 7 = 7.Now we have 14 – 7 = 7.
Make sure that both numbers have the same amount of digits after the decimal point by adding a zero.
0 – 7 = a negative number so 0 – 7 = a negative number so borrow one from the tenths column. borrow one from the tenths column. Now we have Now we have 10 – 7 = 3.10 – 7 = 3.
Now complete the sum,
1 – 1 = 0,
2 – 0 = 2.