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Written Multiplication Methods
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Written Multiplication Methods
Use place value to multiply. Show your working where asked, and include units in word problems.
Extended multiplication
Split the larger number into tens and ones, multiply each part, then add the partial products.
1.Complete the extended method for 34 × 5: (30 × 5) + (4 × 5) = + = .
2.Use the extended method to calculate 52 × 6. Show the partial products and their sum.
3.Which line correctly uses the extended method to calculate 47 × 3?
- (40 × 3) + (7 × 3) = 120 + 21 = 141
- (4 × 3) + (7 × 3) = 12 + 21 = 33
- (40 × 7) + (3 × 7) = 280 + 21 = 301
- (47 × 3) = 47 + 3 = 50
4.Use the extended method to calculate 68 × 4. Write each partial product.
Contracted multiplication
Set out each calculation vertically. Remember to regroup when a product is ten or more.
5.Complete this vertical calculation: 36 × 4. What is the product?
6.Use the contracted method to calculate 57 × 6. Show your working.
7.Arjun's car wash fundraiser earns $8 for each car washed. The group washes 46 cars. How much money do they earn? Use a written multiplication method.
8.Match each calculation with its correct product.
- 29 × 3
- 42 × 5
- 26 × 6
- 35 × 5
- 175
- 156
- 87
- 210
9.Explain how place value helps you find 63 × 4 using a written method.
10.Kahu's car wash team cleans 28 cars each afternoon for 7 afternoons. Calculate the total number of cars. Choose either written method and show your working.
11.Estimate the total for 28 × 7 by rounding 28 to the nearest ten. Is the exact answer of 196 reasonable?
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