Chad used a number line to show the distance from the library to his house and the distance from the library to Kelli's house. How much farther is Chad's house than Kelli's house from the library? A. 1 8 18 mile B. 2 8 28 mile C. 3 8 38 mile D. 1 1 8 118 mile
help
since you do not give either distance, it is very difficult to find their difference.
To determine how much farther Chad's house is from the library compared to Kelli's house, we need to find the difference between their distances on the number line.
Unfortunately, the given answer choices are not in a standard numerical format. Let's convert them into a more understandable format:
A. 1 8 18 mile = 1 + 8/10 + 1/100 + 8/1000 mile = 1.818 mile
B. 2 8 28 mile = 2 + 8/10 + 2/100 + 8/1000 mile = 2.828 mile
C. 3 8 38 mile = 3 + 8/10 + 3/100 + 8/1000 mile = 3.838 mile
D. 1 1 8 118 mile = 1 + 1/10 + 8/100 + 1/1000 + 1/10000 + 8/100000 mile = 1.118118 mile
Now let's find the difference between Chad's and Kelli's distance:
Let's assume Chad's house is at point A and Kelli's house is at point B on the number line, and the library is at point C.
A C B
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Let's say Chad's house is at position 5 on the number line, and Kelli's house is at position 3 on the number line. Since Chad's house is farther away from the library, we subtract the position of Kelli's house from Chad's house:
5 - 3 = 2
Therefore, Chad's house is 2 units (or 2 miles) farther from the library compared to Kelli's house. None of the given answer choices match this result.
To determine how much farther Chad's house is from the library compared to Kelli's house, we need to compare the distances on the number line. In this case, the answer choices are given in fractions.
Let's break down the answer choices:
A. 1 8 18 mile
B. 2 8 28 mile
C. 3 8 38 mile
D. 1 1 8 118 mile
The fractions in the answer choices are written in mixed number format, where the whole number is separated from the proper fraction by a space.
To find the solution, we need to convert these mixed numbers into improper fractions. For example:
A. 1 8 18 mile = 1 + (8/18) = 1 + (4/9) = (9/9) + (4/9) = (13/9)
B. 2 8 28 mile = 2 + (8/28) = 2 + (2/7) = (14/7) + (2/7) = (16/7)
C. 3 8 38 mile = 3 + (8/38) = 3 + (4/19) = (57/19) + (4/19) = (61/19)
D. 1 1 8 118 mile = 1 + (1 8/118) = 1 + (1 + (8/118)) = 1 + (1 + (4/59)) = 1 + (59/59) + (4/59) = (119/59) + (4/59) = (123/59)
Hence, Chad's house is (123/59) miles farther from the library than Kelli's house. Therefore, the correct answer choice is D. 1 1 8 118 mile.