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MINISTRY OF EDUCATION
GRADE FIVE CONSOLIDATED WORKSHEET
MATHEMATICS–MECHANICALS
WEEK 7
TOPIC:MULTIPLICATION OF WHOLE NUMBERS
Name: _________________________________Date: _____________________
FACTS/TIPS: We know that…….
+ means add or join
- means subtract or take away
= means „is the same as‟
but what does × mean? Well it means „of’
Let’s take a look!
4 rows of 4 is 16 altogether. We write this as 4 × 4 = 16
Parts of a multiplication sum
Terms used to show multiplication
- Multiply
- Product
- Times
- Groups of
Can you think of two other terms used to show multiplication?
PRACTICE EXAMPLE 1
6 × 4
We read this as 6 groups of 4.
Look at how it is represented below.
Can you tell how many balls are in the 6 groups?
4 × 4 = 24
PRACTICE EXAMPLE 2
3 × 13
3 groups of 13
Count how many 3 groups of 13 equals.
Did you get 39? You are correct!
ON YOUR OWN
Write a multiplication sentence to show the following. The first
one is done for you.
1. 8 groups of 10 = 8 × 10 =80
2. 19 groups of 2
3. 12 groups of 5
4. 3 groups of 40
5. 7 groups of 7
HOMEWORK
Draw to show the following multiplication sums and write their
products.
1. 3 groups of 10 apples
2. 7 groups of 4 pencils
3. 15 groups of 14 triangles
4. 20 groups of 2 cherries
MINISTRY OF EDUCATION
GRADE FIVE CONSOLIDATED WORKSHEET
MATHEMATIC –MECHANICALS
WEEK 7
TOPIC:MULTIPLICATION OF WHOLE NUMBERS
Name: ________________________________Date: _________________
FACTS/TIPS: We can use arrays to show the product of two numbers.
When objects are placed into rows and columns like this we call it an
array.
PRACTICE EXAMPLE 1
The array sometimes looks like a rectangle.
PRACTICE EXAMPLE 2
Another way to describe multiplication is ‘repeated addition’.
The diagram below shows 3 groups of 2.
We can add 2 three times.
PRACTICE EXAMPLE 3
PRACTICE EXAMPLE 4
The array below shows 4 rows of 6.
We can use repeated addition by adding 6 four times.
ON YOUR OWN
Draw arrays to show the following:
(a) 9 × 6
(b) 13 × 5
(c) 15 × 7
Represent the arrays using repeated addition.
(a) (b)
HOMEWORK
Write a multiplication fact to show by the arrays below.
(a) (b)
Solve the multiplication problems using repeated addition.
MINISTRY OF EDUCATION
GRADE FIVE CONSOLIDATED WORKSHEET
MATHEMATICS–MECHANICALS
WEEK 7
TOPIC: MULTIPLICATION OF WHOLE NUMBERS
Name: __________________________________ Date: _______________
FACTS/TIPS:
The Commutative Property of Multiplication states that the product
of a multiplication problem does not change when you change the
order of the numbers.
PRACTICE EXAMPLE 1
2 x 3 = 6 3 x 2 = 6
4 × 12 = 48 12 × 4 = 48
PRACTICE EXAMPLE 2
5 x 7 x 9 = 315 9 x 5 x 7 = 315
6 × 4 ×10 = 240 4 × 10 × 6 = 240
The Distributive Property
The Distributive Law says that multiplying a number by a group of
numbers added together is the same as doing each multiplication
separately.
PRACTICE EXAMPLE 3
3 × (2 + 4) = 3 × 2 + 3 × 4
So the "3" can be "distributed" across the "2 + 4" into 3 times 2
and 3 times 4.
PRACTICE EXAMPLE 4
4 × 16
We can split 16 as 10 + 6
Now we will have: 4 x (10 + 6)
4 × 10 + 4 × 6
= 40 + 24
= 64
Box method of multiplication
Let‟s use the distributive property to help us.
23 × 15
Steps
1. Let‟s break both numbers down.
20 + 3 × 10 + 5
2. Draw a rectangle and divide it into four parts. 2 columns for
the multiplicand and 2 rows for the multiplier.
3. Put the multiplier to the left side.
4. Write the multiplicand on top.
5. Let‟s ×
10 × 20 = 200
10 ×3 = 30
5 × 20 = 100
5 × 3 = 15
6. Add the totals in the box together.
PRACTICE EXAMPLE 2
234 × 12
Steps
1. Break the numbers up – 200 + 30 + 4 × 10 + 2
2. Draw a rectangle and divide into 3 columns
(multiplicand) and 2 rows (multiplier)
3. Place the multiplier on the left side and the multiplicand
at the top.
4. Multiply: 10 × 200 10 × 30 10 × 4
2 × 200 2 × 30 2 × 4
5. Add the totals in the box.
ON YOUR OWN
Complete the box method multiplication below. Write the
product.
HOMEWORK
Use the box method to find the product of the following:
(a) 65 × 45 (c) 334 × 41
(b) 22 × 16 (d) 550 × 25
MINISTRY OF EDUCATION
GRADE FIVE CONSOLIDATED WORKSHEET
MATHEMATICS - MECHANICALS
TOPIC: MULTIPLICATION OF WHOLE NUMBERS
Name: ________________________________ Date: ______________
FACTS/TIPS: The lattice method is a graphic method that allows us to
break apart the multiplicand and multiplier.
PRACTICE EXAMPLE 1
37 × 56=
Steps
1. Draw a rectangle and divide into four parts. We divide the
rectangle into 4 parts (2 rows and 2 columns) because both
our multiplier and multiplicand are double digits.
2. Write the multiplicand at the top and the multiplier on the
right.
3. Divide the small squares in the rectangle using diagonals.
4. The diagonals will divide the rectangles into its various place
values.
5. Multiply the columns by the rows and split the products up.
6. Add along the diagonals.
PRACTICE EXAMPLE 2
42 × 23
ON YOUR OWN
Complete the multiplication below and write the product.
6 6
9
HOMEWORK
Solve the multiplication problems below using the lattice
method.
1. One box contains 24 pencils. Jermaine buys 13 boxes of
pencils, how many pencils did he buy?
2. In one month Sandy earns $ 925, how much money will she
earn in 1 year?
3. Deborah plants 25 cabbage plants in a row. She planted 16
rows of cabbage plants. How many cabbage plants did she
plant altogether?
4. What is the product of 253 and 40?
MINISTRY OF EDUCATION
GRADE FIVE CONSOLIDATED WORKSHEET
MATHEMATICS –MECHANICALS
WEEK 7
TOPIC:MULTIPLICATION OF WHOLE NUMBERS
Name: ____________________________ Date: __________________
1. Which of the following shows 7 × 15?
(a)
(b)
(c)
(d)
2. 40 × 5 = 200
In the multiplication sum above the multiplier is number _______.
3. Write the multiplication sentence represented by the array
shown below.
4. Another way of multiplying is by using repeated addition. Show
the product of 9 × 16 using repeated addition.
5. Find how many eggs are in the baskets by completing the
statements below.
6. Two of the statements below are INCORRECT. Circle the
incorrect statements.
(a) 40 × 1 = 41 (c) 40 × 1 = 40
(b) 1 × 40 = 40 (d) 1 × 40 = 41
7. Using the commutative property 8 × 9 ×10 can also be written
as __________
8. To multiply 65 × 23, we can break it down as
60 x (20 + 3) + 5 x ( 20 + 3), write another way in which we can
multiply
65 × 23 _____________________
9. 45 × 18 is represented by the box model below. Study it
carefully then write the product.
Product =
10. Mia puts 105 mangoes in large bags to sell at the market. At
the end of the day she sold 25 bags of mangoes. How many
mangoes were in the 25 bags altogether? Show this using the box
model below.
11. The multiplication sum 18 × 24 is shown below using the
lattice method. There is an error in the model, find the error and
shade it.
12. Correct the multiplication sum above using the diagram
below.
13. A cricket team has 11 players. In a tournament there are
24 teams. How many players are in the tournament in total?
