Certainly! Let's go through the process step-by-step on how Maria can use the number line to model the division [tex]\(12 \div 4\)[/tex]:
1. Understand the Problem:
- We need to find out how many times the divisor (4) fits into the dividend (12).
2. Setup the Number Line:
- Draw a number line starting from 0 and extending at least up to 12 since we are dealing with the number 12.
3. Mark Points on the Number Line:
- On your number line, mark equal intervals denoting each unit. These points represent 0, 1, 2, 3, ..., 12.
4. Determine the Jump Size:
- The divisor here is 4, which means each jump Maria makes on the number line will be of size 4 units.
5. Make the Jumps and Count Them:
- Start at 0 (the starting point).
- Make the first jump of 4 units; you will land on 4.
- This is the first jump.
- Make the second jump of 4 units; you will land on 8.
- This is the second jump.
- Make the third jump of 4 units; you will land on 12.
- This is the third jump.
So the jumps are:
- 0 to 4 (First Jump)
- 4 to 8 (Second Jump)
- 8 to 12 (Third Jump)
6. Count the Total Jumps:
- Maria has made 3 jumps in total to reach the number 12 from 0.
Therefore, the number of times she can fit 4 into 12 on the number line, which is the result of [tex]\(12 \div 4\)[/tex], is equal to 3.
