3. Multiplication and division

Lesson

Do you recall how we were able to divide numbers with one or two digits ?

Find the value of 78\div 6.

Worked Solution

Idea summary

We can divide large numbers by partitioning the number, and then dividing each part of the partition.

How can we work with larger numbers to solve division problems? Let's take a look in this video, when we are sharing equally.

We're going to break 7130 into 6000+1000+120+10 to find 7130\div 2. Follow these steps:

a

Find 6000\div 2.

Worked Solution

b

Find 1000\div2.

Worked Solution

c

Find 120\div2.

Worked Solution

d

Find 10\div 2.

Worked Solution

e

Using the fact that 7130=6000+1000+120+10, calculate 7130 \div 2.

Worked Solution

Idea summary

We can break up a number into multiples of the number that we are dividing by to make the division easier.

If we can't share our total out equally, we end up with a remainder, as we see in this video.

Find 465\div2 by doing the following:

a

Find 400\div2.

Worked Solution

b

Find 60\div2

Worked Solution

c

Find 4\div2.

Worked Solution

d

Using the fact that 465=400+60+4+1, complete the statement with the missing numbers:

2 goes into four hundred sixty five ⬚ times with a remainder of ⬚.

Worked Solution

Idea summary

The part of a number that cannot be divided into equal groups is called the remainder.

We can use a short division algorithm to solve division problems, especially with larger numbers. Let's see how we also take care of the remainder in this video.

Find the value of 1145\div 6.

Worked Solution

Idea summary

As our number gets larger, we need to work through more steps in our division, but the process is still the same. If we can't share into equal groups, we end up with a remainder.