Division: Properties Video Lecture | Mathematics for Class 4

0:0:0: hello dear students welcome to today's
0:0:2: video today we are going to learn about
0:0:6: division you must have already heard of
0:0:8: the term Division and also solved some
0:0:10: problems related to it so let us first
0:0:14: recap what we understand by division for
0:0:17: starters let us understand it by an
0:0:20: example you must have come across a
0:0:22: situation where you had to share your
0:0:24: candy or sweets with others let's say we
0:0:28: have 10 cookies and we want to share
0:0:30: them among three
0:0:31: friends how do you do so you divide it
0:0:36: let's see how and we will also learn
0:0:38: about few
0:0:43: terms dividend the dividend is what we
0:0:46: start with in this case the total number
0:0:49: of cookies we have so our dividend is 10
0:0:53: cookies divisor the divisor is the
0:0:56: number we are dividing by in this case
0:0:59: we're dividing the cookies among three
0:1:1: friends so our divisor is three quotient
0:1:5: the quotient is the result of dividing
0:1:7: the dividend by the
0:1:9: divisor it tells us how many items each
0:1:12: group will get so in our example the
0:1:15: quotient would be how many cookies each
0:1:17: friend gets when we divide 10 cookies by
0:1:20: three friends each friend gets three
0:1:23: cookies with one left
0:1:25: over remainder the remainder is what's
0:1:28: left over after we've done divided as
0:1:30: evenly as possible in our example after
0:1:34: giving each friend three cookies we have
0:1:37: one cookie left this is the remainder so
0:1:41: this is how we can divide to
0:1:48: numbers but a question arises in the
0:1:51: mind how do we ensure that we did
0:1:54: correct division there is a simple
0:1:57: formula to check our answer divide
0:1:59: divisor into quotient plus remainder
0:2:2: equals dividend so in the previous
0:2:5: question 3 into 3 + 1 is equal to 10
0:2:10: hence we can easily check our
0:2:14: answer let us see some properties of
0:2:17: division when a number is divided by
0:2:20: itself the quotient we get is one we can
0:2:23: see here that quotient becomes one when
0:2:27: a number is divided by one the quotient
0:2:30: becomes the number
0:2:31: itself when 0o is divided by any number
0:2:35: the answer is always zero this is
0:2:38: because we cannot divide zero into parts
0:2:42: we cannot divide a number by zero always
0:2:45: remember these facts as these help in
0:2:48: solving many
0:2:50: problems let us solve some problems we
0:2:54: will start by dividing a two-digit
0:2:56: number by on digigit number so 9 28 ided
0:3:0: by 8 first write divisor and dividend in
0:3:4: appropriate
0:3:5: positions start by looking at the first
0:3:8: number in the
0:3:9: dividend find the number in the table of
0:3:12: 8 less than or equal to 9 8 into 1 is 8
0:3:16: 8 into 2 is 16 8 into 3 is
0:3:20: 24 so one is the required number write 8
0:3:24: Below 9 subtract the number you got by
0:3:28: multiplying the divid
0:3:30: from the number in the dividend 9 - 8 =
0:3:35: 1 bring down the next digit from the
0:3:38: number in the
0:3:40: dividend since this number is greater
0:3:42: than
0:3:43: divisor repeat the same process again 8
0:3:47: into 1 = 8 8 into 2 = 16 8 into 3 =
0:3:53: 24 so use two then
0:3:57: subtract we get two since two is smaller
0:4:1: than our divisor and we do not have
0:4:3: extra digit to bring down two is left as
0:4:7: remainder our quotient becomes
0:4:12: 12 let us try again this time divide the
0:4:16: three-digit
0:4:17: number so 826 divided by 3 first right
0:4:23: divisor and dividend in appropriate
0:4:26: positions start by looking at the first
0:4:28: number in the dividend
0:4:30: find the number in the table of three
0:4:32: less than or equal to 8 3 into 1 is 3 3
0:4:37: into 2 is 6 3 into 3 is 9 so 2 is the
0:4:42: required number 3 into 2 is 6 so write
0:4:46: six below 8 subtract the number you got
0:4:50: by multiplying the divisor from the
0:4:53: number in the dividend 8 - 6 = 2 bring
0:4:58: down the next digit from the number in
0:5:1: the
0:5:1: dividend repeat the same process again 3
0:5:5: into 1 = 3 3 into 2 = 6 3 into 3 = 9 3
0:5:11: into 4 = 12 3 into 5 = 15 3 into 6 = 18
0:5:18: 3 into 7 = 21 and 3 into 8 =
0:5:23: 24 so use seven then
0:5:27: subtract we get one left now bring down
0:5:30: the next digit repeat the same process
0:5:34: use five upon subtracting we get one as
0:5:39: remainder our quotient becomes
0:5:43: 275 now let us try to divide a
0:5:46: three-digit number by a two-digit one
0:5:50: 37460 by
0:5:52: 16 we will follow the same steps in the
0:5:55: start this time start by looking for the
0:5:58: first two numbers in the dividend since
0:6:1: it is greater than divisor we will look
0:6:3: for a multiple of 16 which is just less
0:6:6: than
0:6:7: 37 16 into 1 = 16 16 into 2 = 32 16 into
0:6:13: 3 =
0:6:15: 48 so use two and subtract 32 from
0:6:19: 37 we get five since 5 is less than
0:6:23: divisor we bring down four now repeat
0:6:27: the steps we have 16 into 3 =
0:6:31: 48 and 16 into 4 =
0:6:35: 64 so 54 - 48 is 6 bring down 6 we have
0:6:43: 66 since 16 into 4 is
0:6:46: 64 we subtract it from
0:6:49: 66 2 is left bring down 0er we subtract
0:6:55: 16 from 20 we have four left since four
0:7:0: is less than our divisor and we do not
0:7:2: have any digit left from the dividend
0:7:5: four is our remainder so quotient is
0:7:10: 2341 remainder is four we can also check
0:7:14: our answer 2341 into 16 + 4 =
0:7:22: 37460 we hope that you have understood
0:7:25: the concept of
0:7:26: division now here's a secret on how you
0:7:29: can study effectively with the urv app
0:7:33: you can learn with chapter notes watch
0:7:35: video lectures and solve NC based McQ
0:7:39: tests of this chapter on
0:7:41: urv and that's not all you also get
0:7:44: amazing courses for class 4 and much
0:7:46: more for your class 4
0:7:48: preparation thank
0:7:50: you