#### Solved Examples and Worksheet for Multiplication Arrays

Q1Choose the number sentence for the array shown. A. 3 × 6 = 18
B. 4 × 4 = 8
C. 4 × 3 = 12
D. 4 × 4 = 16

Step: 1
The array is of 16 rectangles.
Step: 2
There are 16 rectangles with 4 rows of 4 rectangles in each column.
Step: 3
Number of rows × number of rectangles in each row = the total number of rectangles.
Step: 4
4 × 4 = 16
[Substitute the values.]
Step: 5
So, the number sentence is 4 × 4 = 16.
Correct Answer is :   4 × 4 = 16
Q2Identify the fact family for the array shown. A. 6 × 3 = 18 or 6 + 6 + 6 = 18
B. 2 × 10 = 20 or 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 20
C. 2 × 5 = 10 or 2 + 2 + 2 + 2 + 2 = 10
D. 3 × 8 = 24 or 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 24

Step: 1
There are 2 rows of 10.
Step: 2
So, 2 × 10 = 20.
[Multiply.]
Step: 3
There are 10 groups of 2.
Step: 4
So, 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 20.
Step: 5
2 × 10 = 20 or 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 20 completes the given facts.
Correct Answer is :   2 × 10 = 20 or 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 20
Q3Choose the fact family for the array shown. A. 2 × 4 = 8 or 2 + 2 + 2 + 2 = 8
B. 2 × 3 = 6 or 2 + 2 + 2 = 6
C. 6 × 3 = 18 or 6 + 6 + 6 = 18
D. 7 × 4 = 28 or 7 + 7 + 7 + 7 = 28

Step: 1
There are 7 rows of 4.
Step: 2
So, 7 × 4 = 28
[Multiply.]
Step: 3
There are 4 groups of 7.
Step: 4
So, 7 + 7 + 7 + 7 = 28
Step: 5
7 × 4 = 28 or 7 + 7 + 7 + 7 = 28 completes the given facts.
Correct Answer is :   7 × 4 = 28 or 7 + 7 + 7 + 7 = 28
Q4Which array represents the facts? 2 × 4 = 8 or 4 + 4 = 8 A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4

Step: 1
4 + 4 = 8 represents 2 groups of 4.
Step: 2
Figure 2 represents 2 groups of 4.
Correct Answer is :   Figure 2
Q5Which array represents the given facts?
3 × 3 = 9 or 3 + 3 + 3 = 9 A. Figure 1
B. Figure 2
C. Figure 4
D. Figure 3

Step: 1
3 × 3 = 9 represents 3 rows of 3.
Step: 2
3 + 3 + 3 = 9 represents 3 groups of 3.
Step: 3
Figure 4 represents 3 rows of 3 or 3 groups of 3.
Correct Answer is :   Figure 4
Q6Which figure shows 2 × 12? A. Figure 2
B. Figure 4
C. Figure 1
D. Figure 3

Step: 1
The product can be shown with the use of place-value blocks.
Step: 2
Show 1 ten and 2 ones in a row. This shows 1 × 12.
Step: 3
Put one more row of 12 in the array. This shows 2 × 12 as shown below. Step: 4
Therefore, Figure 1 is used to find the product 2 × 12.
Correct Answer is :   Figure 1
Q7Which of the following array shows the number sentence, 4 × 6? A. Figure 3
B. Figure 4
C. Figure 1
D. Figure 2

Step: 1
4 × 6 means 4 rows with 6 objects in each row.
Step: 2
Among the figures, only Figure 3 has 4 rows with 6 leaves in each row.
Step: 3
So, Figure 3 is the array that represents the given number sentence 4 × 6.
Correct Answer is :   Figure 3
Q8Kim had some square cards. He arranged them as shown in the figure. Which number sentence could be used to determine the total number of square cards Kim had? A. 3 × 3 = 9
B. 5 × 3 = 15
C. 4 × 3 = 12
D. 6 × 3 = 18

Step: 1
The figure shows 5 rows of cards with 3 cards in each row and there are 15 cards in all.
Step: 2
Number of rows × Number of cards in each row = Total number of cards
Step: 3
5 × 3 = 15
[Substitute the values.]
Step: 4
So, the number sentence that could be used to determine the total number of square cards Kim had is 5 × 3 = 15.
Correct Answer is :   5 × 3 = 15
Q9Which array shows 3 × 3? A. Figure 4
B. Figure 1
C. Figure 2
D. Figure 3

Step: 1
The number sentence 3 × 3 means 'Number of rows × Number of columns'.
Step: 2
The array shown in Figure 4 alone matches the description given in step 1.
Correct Answer is :   Figure 4
Q10Choose a multiplication fact shown by the model. A. 2 + 4 = 6
B. 4 × 3 = 7
C. 1 + 8 = 8
D. 2 × 4 = 8

Step: 1
We observe from the figure that there is two rows of aeroplanes and each row consists of four aeroplanes.
Step: 2
The number of aeroplanes shown is 2 × 4 = 8.
[Write the multiplication fact.]
Step: 3
So the multiplication fact shown by the model is 2 × 4 = 8.
Correct Answer is :   2 × 4 = 8
Q11Choose a multiplication fact shown by the model. A. 1 + 6 = 6
B. 1 × 6 = 6
C. 2 + 5 = 7
D. 1 × 7 = 7

Step: 1
We observe from the figure that there is just one row of butterflies and the row consists of seven butterflies.
Step: 2
The number of butterflies shown is 1 × 7 = 7.
[Write the multiplication fact.]
Step: 3
So the multiplication fact shown by the model is 1 × 7 = 7.
Correct Answer is :   1 × 7 = 7
Q12Identify the number sentence for the array. A. 5 × 6 = 11
B. 5 × 6 = 30
C. 5 × 6 = 45
D. 5 × 6 = 35

Step: 1
The array shows 5 rows with 6 cars in each row and there are 30 cars in all.
Step: 2
Number of rows × Number of cars in each row = Total number of cars
Step: 3
5 × 6 = 30
[Substitute the values.]
Step: 4
So, the number sentence that represents the array shown is 5 × 6 = 30.
Correct Answer is :   5 × 6 = 30
Q13Which one of these number sentences represents the array shown? A. 4 × 5 = 20
B. 3 + 5 = 8
C. 3 × 5 = 15
D. 4 × 4 = 16

Step: 1
The array shows 3 rows with 5 shapes in each row and there are 15 shapes in all.
Step: 2
Number of rows × Number of shapes in each row = Total number of shapes
Step: 3
3 × 5 = 15
[Substitute the values.]
Step: 4
So, the number sentence that represents the array shown is 3 × 5 = 15.
Correct Answer is :   3 × 5 = 15
Q14Choose the appropriate number sentence for the array shown. A. 4 + 6 = 10
B. 6 - 4 = 2
C. 4 × 6 = 24
D. 3 × 6 = 18

Step: 1
The array shows 4 rows with 6 squares in each row and there are 24 squares in all.
Step: 2
Number of rows × Number of squares in each row = Total number of squares
Step: 3
4 × 6 = 24
[Substitute the values.]
Step: 4
So, the number sentence that represents the array shown is 4 × 6 = 24.
Correct Answer is :   4 × 6 = 24
Q15Identify the number sentence for the array shown. A. 4 × 7 = 28
B. 4 + 7 = 11
C. 6 × 8 = 48
D. 6 + 8 = 14

Step: 1
The array shows 6 rows with 8 stars in each row and there are 48 stars in all.
Step: 2
Number of rows × Number of stars in each row = Total number of stars
Step: 3
6 × 8 = 48
[Substitute the values.]
Step: 4
So, the number sentence that represents the array shown is 6 × 8 = 48.
Correct Answer is :   6 × 8 = 48
• Array