Algebra: Multiplication and Division - Grade 5 Math

Practice Example 1: Multiplication

Mary bought 7 box of apples. Each box has 6 apples. If the total number of apples bought was y. Form a simple equation that can be used to find the value of y.

Answer:

Total number of boxes: 7
Number of apples in each box: 6
Total number of Apples bought: y
Equation: 7 x 6 = y

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Practice Example 2: Division

Patricia has 40 pens. She wants to back the pens equally into 5 boxes. Once packed, each box will contain t pens. Form an equation to find the value of t.

Answer:

Total Number of Pens: 40
Number of boxes packed: 5
Number of pens in each box: t
Equation: 40 ÷ 5 = t

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Practice Example 3: Try it!

In a Grade 5 class, a teacher shared 24 books equally among the learners. Each learner got 3 books. There are a total of n learners in the class. Form a simple equation to use to find the total number of learners, n.

Answer:

Total Number of books: 24
Number of books per learner: 3
Total number of Grade 5 learners: n
We use division (÷)
Equation: 24 ÷ 3 = n

Practice Example 4: Multiplication

Find the value of p in
p x 3 = 12

Answer:

Hence: p x 3 = 12 is the same as p3=12 which is the same as 3p = 12.
We divide both sides by the known value 3:
^3p/₃ = ¹²/₃
p = ¹²/₃
p = 4

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Practice Example 5: Division

Find the value of y in
y ÷ 4 = 5

Answer:

Hence: y ÷ 4 = 5 is the same as ^y/₄ = 5.
We multiply both sides by the known value 4:
⁴ x ^y/₄ = 5 x 4
y = 5 x 4
y = 20

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Practice Example 6: Try it!

Brian had 18 marbles. He shared them equally among 3 friends. If each friend got p marbles, how many marbles did each friend get?

Answer:

Total Number of marbles: 18
Number friends: 3
Total number of marbles per student: p
The simple equation is:
3 x p = 18 which is the same as 3p = 18
We divide both sides by the known value 3:
^3p/₃ = ¹⁸/₃
p = ¹⁸/₃
p = 6