Question

Trent is fishing from a pier.

The tip of his fishing rod is 53 3/4 feet above the surface of the water.
The hook on the end of the fishing line is directly below the tip of the fishing rod 12 2/3 feet below the surface of the water.
Trent estimates that the distance between the tip of his fishing rod and the hook is less than 65 feet. Is Trent's estimate reasonable? Explain your answer.

Answer 1

67. Trent estimate is not reasonable

Explanation:

1. Set up an expression —> 53 3/4 - (-12 2/3) it’s BELOW sea level so it’ll be negative

2. Since it’s subtracting different signs, we use the MULTIPLCATIVE INVERSE aka KEEP CHANGE CHANGE

53 3/4 + 12 2/3

3. Turn into improper fraction.
215/4 + 38/3

4. Find the common denominator

Lcm of 4 & 3= 12

(215/4 x 3) + (38/3 x 4)

645/12 + 152/12= 797/12

5. Turn back into mixed fractions by diving the denominator by numerator.

66 5/12 or 66.41667 which can rounded to 67.

Thus, the distance between the tip of trent’s fishing rod and the hook is 67.

Trent’s estimate is not reasonable because you round UP since it’s over 5.0* making it greater than trent’s estimate, 65.

Answer 2

To estimate the distance between the tip of his fishingrod which is above the water and the hook which is below the water, you will need to estimate the absolute values of both distances.

|53 3/4| + |12 2/3|
54 + 13
67 ft

Trents estimate is not reasonable because you would around both of these values up to the next whole number making it greater than 65.