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Split Strategy Multiplication

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Split Strategy Multiplication

At a weekend market, Maia is packing fruit into equal bags. Use the split strategy to make multiplication easier: split a number into tens and ones, multiply each part, then add the partial products. Example: 3 × 24 = (3 × 20) + (3 × 4) = 60 + 12 = 72.

Warm up: split and multiply

Split the two-digit number into tens and ones before multiplying.

1.Maia packs 3 bags with 26 feijoas in each bag. Complete the split: 26 = 20 + .

2.Which calculation correctly splits 4 × 32 into tens and ones?

(4 × 30) + (4 × 2)
(4 × 3) + (4 × 2)
(4 × 30) + 2

3.There are 3 rows of 14 apples in a display. Use the array to find the total. Write the two partial products and then add them.

4.True or false? To solve 2 × 36 with the split strategy, you can calculate (2 × 30) + (2 × 6).

Solve the market challenges

Show how you split each number. Remember to add the partial products.

5.A baker puts 4 cheese scones on each tray. There are 23 trays. Work out how many scones there are using a split strategy.

6.A stall has 3 baskets with 27 mandarins in each. Fill in the missing partial product: (3 × 20) + (3 × 7) = 60 + = 81.

7.Match each multiplication to its split calculation.

2 × 45
5 × 16
3 × 28

(5 × 10) + (5 × 6)
(3 × 20) + (3 × 8)
(2 × 40) + (2 × 5)

8.A customer buys 4 bundles of 18 carrots. Explain how splitting 18 helps you calculate the total, then give the total number of carrots.

9.Spot the mistake: Oliver solves 3 × 25 as (3 × 20) + 5 = 65. What did Oliver forget to multiply by 3? Write the corrected calculation and answer.

10.Make your own market multiplication using a one-digit number times a two-digit number. Split the two-digit number into tens and ones, show both partial products, and find the total.