Question 8 of 44beginner💡 UnderstandFill in the Blanks2 marks
Which numbers do both the rabbit and the kangaroo touch? A few common multiples of 6 and 8 are ____.
Correct Answer
A few common multiples of 6 and 8 are 24, 48, 72, 96, 120.
Exercise: Common Multiples | Q: 2 | (Page Page 3)
For More Understanding
Explanation
The rabbit touches multiples of 6 (6, 12, 18, 24, 30, 36, 42, 48...) and the kangaroo touches multiples of 8 (8, 16, 24, 32, 40, 48, 56, 64...). The common multiples of 6 and 8 are numbers that appear in both lists. The smallest common multiple is 24, followed by 48, 72, 96, 120, etc.
Solution Steps
Step 1: Rabbit's numbers: multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60...
Step 2: Kangaroo's numbers: multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64...
Step 3: Find numbers appearing in both lists
Step 4: Common multiples of 6 and 8: 24, 48, 72, 96, 120...