3. Multiplication and division

Lesson

Before you practice the work from this chapter, take some time to go over some of the multiplication and division strategies and problems we've looked at. These include:

using arrays to solve multiplication and division problems

partitioning, or splitting numbers to solve multiplication problems

using an area model to solve division problems

using a vertical algorithm to solve multiplication and division problems

With these strategies, we were able to move on to multiplication of larger numbers by two digit numbers . We were also able to solve division problems with remainder , as well as dividing by two digit numbers.

Let's use an area model to find 77 \times 3.

a

Fill in the areas of each rectangle.

Worked Solution

b

What is the total area of all four rectangles?

Worked Solution

c

Find 77 \times 3.

Worked Solution

Find the product of 235 \times 14.

Worked Solution

Find the value of 2518\div 8.

Worked Solution

Idea summary

We have different ways we can solve multiplication and division problems, and as our numbers get larger, the algorithm method can be more useful. Being able to regroup (trade), as well as find remainders with division is important.

Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies

Solve problems involving division by a one digit number, including those that result in a remainder

Use efficient mental and written strategies and apply appropriate digital technologies to solve problems