Question

use the table for problems 7 and 8.

1. kaiba finds how far his house is from several locations and makes the table shown. how much farther away from kaibas house is the library than the cafe?
2. if kaiba walks from his house to school and back, how far does he walk?
3. compare how you would model and record finding the sum and difference of two rocks weighing \\(\frac{1}{4}\\) pound and \\(\frac{3}{8}\\) pound.

(table: distance from kaibas house; locations: library (\\(\frac{9}{10}\\) miles), school (\\(\frac{5}{10}\\) miles), store (\\(\frac{7}{10}\\) miles), cafe (\\(\frac{4}{10}\\) miles), yogurt shop (\\(\frac{6}{10}\\) miles))

Explanation:

Step1: Subtract cafe distance from library

$\frac{9}{10} - \frac{4}{10} = \frac{5}{10} = \frac{1}{2}$

Step2: Calculate round trip to school

First, one way: $\frac{5}{10}$ miles. Round trip: $\frac{5}{10} + \frac{5}{10} = \frac{10}{10} = 1$

Step3: Sum and difference of rock weights

Sum: $\frac{3}{8} + \frac{2}{8} = \frac{5}{8}$; Difference: $\frac{3}{8} - \frac{2}{8} = \frac{1}{8}$

Answer:

1. $\frac{1}{2}$ mile
2. 1 mile
3. Sum of the rocks' weights: $\frac{5}{8}$ pound; Difference of the rocks' weights: $\frac{1}{8}$ pound. To model, use a fraction bar divided into 8 parts: shade 3 for the first rock and 2 for the second for the sum; shade 3 and cross out 2 for the difference. Record using fraction addition/subtraction with common denominators.