Certainly! Let's solve each part of the problem step-by-step:
### a. How many numbers will you add if you take a jump from 35 to 45?
If you look at the grid, the number 35 is in the fourth row and fifth column. The number 45 is in the fifth row and fifth column. Therefore, to move from 35 to 45, you are jumping directly downward by one row.
Hence, you will make 1 jump to move from 35 to 45.
Answer: 1 jump
### b. How can you go from 58 to 70?
To find a path from 58 to 70, we need to refer to their positions in the grid. The number 58 is in the sixth row and eighth column. The number 70 is in the seventh row and tenth column.
We can move as follows:
1. Move from 58 (sixth row, eighth column) to 68 (seventh row, eighth column).
2. Move from 68 (seventh row, eighth column) to 69 (seventh row, ninth column).
3. Move from 69 (seventh row, ninth column) to 70 (seventh row, tenth column).
So, the path is: 58 → 68 → 69 → 70
Answer: [58, 68, 69, 70]
### c. How can you go from 23 to 37?
To find a path from 23 to 37, we need to look at their positions in the grid. The number 23 is in the third row and third column. The number 37 is in the fourth row and seventh column.
We can move as follows:
1. Move from 23 (third row, third column) to 24 (third row, fourth column).
2. Move from 24 (third row, fourth column) to 25 (third row, fifth column).
3. Move from 25 (third row, fifth column) to 26 (third row, sixth column).
4. Move from 26 (third row, sixth column) to 27 (third row, seventh column).
5. Move from 27 (third row, seventh column) to 28 (third row, eighth column).
6. Move from 28 (third row, eighth column) to 38 (fourth row, eighth column).
7. Move from 38 (fourth row, eighth column) to 37 (fourth row, seventh column).
So, the path is: 23 → 24 → 25 → 26 → 27 → 28 → 38 → 37
Answer: [23, 24, 25, 26, 27, 28, 38, 37]
### d. How can you go from 62 to 75?
To find a path from 62 to 75, we need to refer to their grid positions. The number 62 is in the seventh row and second column. The number 75 is in the eighth row and fifth column.
We can move as follows:
1. Move from 62 (seventh row, second column) to 72 (eighth row, second column).
2. Move from 72 (eighth row, second column) to 73 (eighth row, third column).
3. Move from 73 (eighth row, third column) to 74 (eighth row, fourth column).
4. Move from 74 (eighth row, fourth column) to 75 (eighth row, fifth column).
So, the path is: 62 → 72 → 73 → 74 → 75
Answer: [62, 72, 73, 74, 75]
These explanations and sequences should comprehensively answer each sub-question.
