Multiplication and division (T1 W4)
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Multiplication can be thought of as repeated addition. For example, 4 × 3 means adding 4 three times (4 + 4 + 4), which equals 12. Division, on the other hand, is the process of splitting a number into equal parts. For instance, 12 ÷ 4 means dividing 12 into 4 equal groups, which gives us 3. Understanding these concepts helps us see how multiplication and division are interconnected.
Let's solve 5 × 6. We can visualize this using an array model. If we create 5 rows with 6 dots in each row, we can count the total number of dots. Counting all the dots gives us 30. Thus, 5 × 6 = 30. This visual representation helps us understand the multiplication process better.
Now, let's work through a division problem together: 24 ÷ 6. We can use a number line to help us. Starting at 0, we make jumps of 6 until we reach 24. The jumps are 6, 12, 18, and finally 24, which means we made 4 jumps. Therefore, 24 ÷ 6 = 4. Discuss with your partner how you visualized this problem.
Now it's your turn! Solve the following problems on your own: 1) 7 × 8, 2) 56 ÷ 7, 3) 9 × 5, and 4) 45 ÷ 9. Remember to show your working clearly. After you finish, review your answers and check for any mistakes. Discuss with a classmate how you approached each problem.
Answer: 24
6 multiplied by 4 equals 24, as it is the sum of 6 added four times.
Answer: 6
36 divided by 6 equals 6, as there are six groups of 6 in 36.
Answer: 9
45 divided by 5 equals 9, meaning you can fill 9 bags.
Answer: 27
9 multiplied by 3 equals 27.
Answer: 9
81 divided by 9 equals 9.
Answer: 3 × 7 = 21
3 multiplied by 7 equals 21, which is correct.
Answer: 0
Any number multiplied by 0 results in 0.
Answer: Division is the opposite of multiplication because it breaks a number into equal parts, while multiplication combines equal groups.
This shows the inverse relationship between the two operations.