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in this video you are going to learn how additional subtraction are linked why is this relationship important because we can use it to help make math easy here is a simple equation 2 plus 3 when we add 2 & 3 we find the total is you've got it 5 in this example 2 & 3 are called the parts and the parts make up the whole which is 5 we can represent this equation using a part part whole model the parts go in these small boxes and the whole goes in the larger box this is another way to show that two and three make five the part plus the part equals the whole that means that three plus two must also equal five [Music] so we know that part plus part equals the whole we can also use this part part whole model to represent subtraction if our whole is 5 and we take away the part 3 we are left with the other part 2 5 take away 3 equals 2 the whole take away one part equals the other part let's try the turnaround because we are doing subtraction we must still begin with the whole but this time we will subtract 2 we are left with the remaining part 3 let's have a look at another example 4 plus 6 our two parts are 4 & 6 let's add our two parts to find out hole 4 & 6 equals 10 our hole is 10 part plus part equals whole four plus six equals ten and six plus four equals ten whole takeaway part equals the other part 10 take away 4 equals 6 and 10 take away 6 equals 4 so we know addition and subtraction are related but why is this relationship important well it can be really useful because we can use addition to help us solve subtraction problems let's take a look at this equation 19 take away 17 19 is the hole 17 is the part that we must take away the equation is asking us to work out what part will be left over we could work this out by subtracting 17 from 19 but there's an easier way let's use the relationship between addition and subtraction to turn this problem around we know that the part plus the part equals the whole that means 17 plus something equals 19 we know that 17 plus 2 equals 19 that means that 19 take away 17 must equal 2 let's try one more 11 take away 8 because it's subtraction 11 is the hole 8 is one of the parts and we are missing the other part let's think about this as an addition problem 8 plus something equals 11 8 plus 3 equals 11 that means 11 take away 8 equals 3 using addition to solve subtraction is easy [Music] easy teaching dotnet [Music]