Adding And Subtracting Decimal Numbers

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00:00Hi kids!

00:03We already learned what are decimal numbers.

00:07Today we will learn addition and subtraction of decimals.

00:12So let's get started.

00:17Here we have two decimal numbers.

00:2123.03, 20.5

00:26Now let's learn how to add them.

00:31Write the bigger number and the smaller in such a way that decimal points are aligned.

00:39Then you can add zeros to places where there are no numbers.

00:45Like you can add 0 at 100's place after 5.

00:51As placing zeros to the right of decimal does not change the number.

00:580.5 and 0.50 and 0.500 are all same numbers.

01:07Now start adding from the rightmost digit.

01:113 plus 0 equals 3, so write 3 below the 100's place in sum.

01:19Now add the 10's place digits.

01:230 plus 5 equals 5.

01:27Write 5 in the sum below the 10's digit.

01:32Now put decimal in the sum.

01:36Now add the whole numbers as you simply add.

01:403 plus 0 equals 3, 2 plus 2 equals 4.

01:46So our sum is 43.53.

01:52Now let's take another example.

01:55Here we have two decimal numbers.

01:59Now let's add them.

02:02First of all, write the numbers in such a way that decimal points are aligned.

02:08And you can add zeros too.

02:11You can write 123.6 as 123.60.

02:20As appending zeros in the end of decimal numbers do not change the numbers.

02:26Remember, only in case of decimal numbers.

02:311 and 10 are not same.

02:35But, 0.1 and 0.10 are same.

02:40You can write 45.69 as 045.69.

02:49As appending zeros before any number does not change the number.

02:541 and 01 are same.

02:581.5 and 01.5 are same numbers.

03:04Now let's add the numbers.

03:07Start adding from the rightmost digit.

03:119 plus 0 equals 9.

03:15So write 9 below hundredths place in sum.

03:20Now add the tenths place digits.

03:246 plus 6 equals 12.

03:27Write 2 in the sum below the tenths digit.

03:31And give one carryover to next digit, that is ones place digit.

03:35Now put decimal in the sum.

03:39Now add the whole numbers as you simply add.

03:431 plus 3 plus 5 equals 9.

03:48Write 9 in sum below ones place.

03:522 plus 4 equals 6.

03:56So write 6 in sum below tens place.

04:001 plus 0 equals 1.

04:05Write 1 in sum below hundredths place.

04:10So kids, 169.29 is our answer.

04:17Now let's learn how to subtract decimal numbers.

04:22We have to subtract 65.80 from 206.60.

04:32Now let's learn how to subtract them.

04:35First of all, write the numbers in such a way that decimal points are aligned.

04:41And bigger number always above the smaller number.

04:45Now you can append zeros too.

04:48You can write 206.6 as 206.60.

04:56You can write 65.80 as 065.80.

05:02Now start subtracting as you subtract the whole numbers.

05:080 subtract 0 equals 0.

05:13So write 0 below hundredths place in difference.

05:18Now you cannot subtract 8 from 6.

05:22So borrow 1 from ones place digit.

05:26Plus 6 make it 5.

05:29Get borrow to 6 at tens place.

05:33Now subtract 8 from 16.

05:3716 subtract 8 equals 8.

05:42So we get 8.

05:45Now write 8 in difference below the tens digit.

05:52Now put decimal in the difference.

05:555 minus 5 equals 0.

05:58Write 0 in difference below ones place.

06:03We cannot subtract 6 from 0.

06:07So borrow 1 from digit at hundredths place.

06:11That is 2.

06:13Plus 2 make it 1.

06:17And get borrow 1 to 0.

06:20Now 10 minus 6 equals 4.

06:23So write it in difference below tens place.

06:271 minus 0 equals 1.

06:31Write 1 in hundredths place in difference.

06:35So kids 206.60 minus 65.80 equals 140.80.

06:47We have learned today how we can add and subtract our decimal numbers.

06:54Now you may go ahead and take a quiz to learn more.

06:58Bye bye.

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