Multiplication and division (T1 W4)
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Multiplication can be viewed as repeated addition, while division is the process of distributing a number into equal parts. For example, 4 × 3 can be interpreted as adding 4 three times (4 + 4 + 4 = 12). Conversely, 12 ÷ 4 asks how many times 4 fits into 12, which is 3. Visual models, such as arrays for multiplication and grouping for division, can help clarify these concepts.
Let's solve 5 × 6 using an array model. We can create 5 rows with 6 dots in each row. Counting all the dots gives us a total of 30. Therefore, 5 × 6 = 30. Now, for division, consider 30 ÷ 5. We can think of this as how many groups of 5 can be made from 30. By grouping the dots into sets of 5, we find there are 6 groups, confirming that 30 ÷ 5 = 6.
Now, let's work through a problem together. Calculate 7 × 4. Start by drawing an array with 7 rows and 4 columns. Count the total number of dots. After that, let's divide 28 by 7. How many groups of 7 can we make from 28? Discuss your findings with a partner and share your reasoning.
Complete the following problems on your own: 1) 8 × 3 = ? 2) 24 ÷ 6 = ? 3) Create an array for 6 × 5 and calculate the total. 4) If you have 36 apples and want to divide them into bags of 9, how many bags will you have? Show all your working clearly.
Answer: 63
9 multiplied by 7 equals 63.
Answer: 9
45 divided by 5 equals 9.
Answer: 48
12 multiplied by 4 equals 48.
Answer: 6
36 divided by 6 equals 6.
Answer: Multiplication
Multiplication is the process of adding a number multiple times.
Answer: 8
64 divided by 8 equals 8.
Answer: 5
50 divided by 10 equals 5 candies per friend.
Answer: 45
15 multiplied by 3 equals 45.