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If the lengths of two poles P(1) and P(2...

If the lengths of two poles `P_(1)` and `P_(2)` are 26.79 m and 29.34m, respectively, then how much longer is `P_(2)` than `P_(1)`?

A

2.45m

B

2.35m

C

2.55m

D

2.65m

Text Solution

AI Generated Solution

The correct Answer is:
To find out how much longer pole P2 is than pole P1, we can follow these steps: ### Step 1: Identify the lengths of the poles - Let the length of pole P1 (L1) be 26.79 meters. - Let the length of pole P2 (L2) be 29.34 meters. ### Step 2: Set up the equation to find the difference To find out how much longer P2 is than P1, we need to subtract the length of P1 from the length of P2. The equation will be: \[ \text{Difference} = L2 - L1 \] ### Step 3: Substitute the values into the equation Now, substitute the values of L1 and L2 into the equation: \[ \text{Difference} = 29.34 - 26.79 \] ### Step 4: Perform the subtraction Now, let's perform the subtraction: - Align the numbers for easier calculation: ``` 29.34 - 26.79 ------- ``` - Start from the rightmost digit: - 4 - 9: Since 4 is less than 9, we need to borrow 1 from the next column. So, 14 - 9 = 5. - Next column: 2 (after borrowing it becomes 1) - 7: Again, we need to borrow. So, 12 - 7 = 5. - Next column: 2 (after borrowing it becomes 1) - 6: We need to borrow again. So, 12 - 6 = 6. - Finally, 2 - 2 = 0. So, the result of the subtraction is: \[ 29.34 - 26.79 = 2.55 \] ### Step 5: State the final answer Thus, the length of pole P2 is 2.55 meters longer than pole P1. ### Final Answer: P2 is 2.55 meters longer than P1. ---
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