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10. Use the grid given below to answer the following questions.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
\hline 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
\hline 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 \\
\hline 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 \\
\hline 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38 & 39 & 40 \\
\hline 41 & 42 & 43 & 44 & 45 & 46 & 47 & 48 & 49 & 50 \\
\hline 51 & 52 & 53 & 54 & 55 & 56 & 57 & 58 & 59 & 60 \\
\hline 61 & 62 & 63 & 64 & 65 & 66 & 67 & 68 & 69 & 70 \\
\hline 71 & 72 & 73 & 74 & 75 & 76 & 77 & 78 & 79 & 80 \\
\hline 81 & 82 & 83 & 84 & 85 & 86 & 87 & 88 & 89 & 90 \\
\hline 91 & 92 & 93 & 94 & 95 & 96 & 97 & 98 & 99 & 100 \\
\hline
\end{tabular}

a. How many numbers will you add if you take a jump from 35 to 45?

b. How can you go from 58 to 70?


Sagot :

Sure, let's break down the given problem with the grid step by step.

### Part a: How many numbers will you add if you take a jump from 35 to 45?

1. Identify Positions:
- Position of 35: This is located in the 4th row and the 5th column.
- Position of 45: This is located in the 5th row and the 5th column.

2. Determine Steps:
- Since both numbers lie in the same column (i.e., column 5), the step is vertical (downward).
- The vertical jump from the 4th row to the 5th row involves moving from 35 directly to 45, covering 1 row.

3. Conclusion:
- There is 1 step required to jump from 35 to 45.

Thus, you will add 1 number when jumping from 35 to 45.

### Part b: How can you go from 58 to 70?

1. Identify Positions:
- Position of 58: This is located in the 6th row and the 8th column.
- Position of 70: This is located in the 7th row and the 10th column.

2. Determine Steps:
- From 58 (row 6, column 8):
- Move down by 1 row to row 7 to reach the 70s row.
- Adjust columns from column 8 to column 10.
- You can move directly downward from row 6 to row 7 and adjust horizontally from column 8 to column 10.

3. Conclusion:
- The jump from 58 to 70 involves moving downward by 1 row and then adjusting horizontally within the grid.

So, you can go from 58 to 70 by jumping 1 row down.

By breaking down the position and movement requirements, we can determine the necessary steps to transition from one number to another within the grid.
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