Question
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 0 0.1 0.2 0.3 0.4 0.5 0.6 07 08 09 1 11 1.2 1.3
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 0 0.1 0.2 0.3 0.4 0.5 0.6 07 08 09 1 11 1.2 1.3
The Correct Answer and Explanation is:
Step-by-step analysis:
We are calculating 0.6 + 0.7 = 1.3.
So, we are looking for a number line where:
- The first arrow starts at 0 and goes to 0.6.
- The second arrow starts at 0.6 and goes to 1.3.
Let’s evaluate each option from top to bottom:
- First Option:
Starts at 0, ends at 0.3 (first arrow), then from 0.3 to 1.2. This does not correctly represent 0.6 + 0.7. Incorrect. - Second Option:
Starts at 0.6 and ends at 0.9 (first arrow), then from 0.9 to 1.3. This is representing 0.3 + 0.4 = 0.7. Incorrect. - Third Option:
First arrow goes from 0 to 0.6. Second arrow starts at 0.6 and ends at 1.3. This matches the sum 0.6 + 0.7 = 1.3. Correct. - Fourth Option:
First arrow from 0.6 to 1.3 (backward direction), second from 0 to 0.6. The direction is incorrect, as the arrows should move forward to represent addition. Incorrect.
✅ Correct Answer: Third Option (Third number line)
Explanation
To accurately represent a sum like 0.6 + 0.7 on a number line, we need to visualize two sequential steps:
- The first part of the journey represents the first addend — in this case, 0.6.
- From that point, the second part of the journey represents the second addend — here, 0.7.
Mathematically, 0.6 + 0.7 equals 1.3. On a number line, we would expect a starting point at 0. The first arrow would take us from 0 to 0.6, showing the first number in the sum. Then, we continue from 0.6, and the second arrow should go forward another 0.7 units. That would bring us to 1.3, the total of 0.6 and 0.7.
The third number line clearly shows this. The first red arrow begins at 0 and ends at 0.6. Then, the second red arrow starts at 0.6 and extends to 1.3. Both segments move in the correct direction and cover the exact distances corresponding to the numbers being added.
The other options either show incorrect starting points, incorrect segment lengths, or move in a direction that does not reflect addition. Only the third diagram follows the correct structure for representing the operation 0.6 + 0.7 on a number line.
Therefore, the third number line is the correct visual representation of the sum 0.6 + 0.7 = 1.3.
