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Multiplication Arrays and Distribution

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Multiplication Arrays and Distribution

Use arrays and the distributive property to calculate products. Show your working where asked. For estimates, round each factor to a nearby easy number.

Arrays and multiplication

1.Which description matches an array for 6 × 8?

6 rows with 8 objects in each row
6 rows with 6 objects in each row
8 rows with 8 objects in each row
3 rows with 8 objects in each row

2.Draw an array for 7 × 9. Label the number of rows and the number in each row.

3.An array has 5 rows of 14 counters. Select every equation that correctly represents the total or a related fact.

5 × 14 = 70
14 × 5 = 70
70 ÷ 5 = 14
5 + 14 = 19

4.At a netball tournament, 8 teams each receive 12 bibs. How many bibs are handed out altogether?

The distributive property

5.Complete the equality: 9 × (20 + 3) = (9 × ) + (9 × ).

6.Use the distributive property to calculate 7 × 16 by splitting 16 into 10 + 6. Show the expansion and the final product.

7.Which expression uses the distributive property correctly to expand 12 × 34?

(12 × 30) + (12 × 4)
(12 × 30) + 4
12 + (30 × 4)
(12 × 3) + (12 × 4)

8.A sports shop packs 15 balls into each crate. Calculate the number of balls in 18 crates by splitting 18 into 10 + 8.

9.Expand 23 × 41 using the distributive property, splitting both factors into tens and ones. Then calculate the product.

Estimate, calculate and explain

10.Estimate 19 × 32 by rounding each factor to the nearest ten. Then calculate the exact product using the distributive property.

11.For a netball tournament, Ruben arranges 16 teams in a seating plan with 24 seats reserved for each team. How many seats are reserved? Use a distributive-property method and explain your calculation.

12.Harrison says that 14 × 27 can be expanded as (14 × 20) + 7. Is his expansion correct? State the error and write a correct expansion and product.