An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
The total charge delivered by the device is 450 C . This corresponds to approximately 2.81 × 1 0 21 electrons flowing through it. This is calculated by dividing the charge by the charge of a single electron.
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Calculate the result of each fraction multiplication.
Match each result to its corresponding letter.
Form the message using the sequence of letters.
The message is: C HD L EFGQ Y O V EF W O L
Explanation
Problem Analysis We are given 16 multiplication problems involving fractions. Our goal is to find the answer to each problem, match the answer to a corresponding letter, and then form a message using these letters.
Calculations First, let's calculate the result of each multiplication:
4 11 × 7 6 = 4 × 7 11 × 6 = 28 66 = 14 33 = 2 14 5
5 3 × 2 21 = 5 × 2 3 × 21 = 10 63 = 6 10 3
7 5 × 7 14 = 7 × 7 5 × 14 = 49 70 = 7 10 = 1 7 3
5 3 × 125 = 5 3 × 125 = 5 375 = 75
4 3 × 3 4 = 4 × 3 3 × 4 = 12 12 = 1
5 12 × 4 31 = 5 × 4 12 × 31 = 20 372 = 5 93 = 18 5 3
3 22 × 4 3 = 3 × 4 22 × 3 = 12 66 = 2 11 = 5 2 1
5 34 × 12 5 = 5 × 12 34 × 5 = 60 170 = 6 17 = 2 6 5
6 5 × 2 = 6 5 × 2 = 6 10 = 3 5 = 1 3 2
4 1 × 76 = 4 76 = 19
3 42 × 4 51 = 3 × 4 42 × 51 = 12 2142 = 2 357 = 178 2 1
3 2 × 60 = 3 2 × 60 = 3 120 = 40
4 43 × 5 4 = 4 × 5 43 × 4 = 20 172 = 5 43 = 8 5 3
4 33 × 9 57 = 4 × 9 33 × 57 = 36 1881 = 4 209 = 52 4 1
8 3 × 72 = 8 3 × 72 = 8 216 = 27
5 62 × 2 21 = 5 × 2 62 × 21 = 10 1302 = 5 651 = 130 5 1
Matching Results to Letters Now, let's match each result to its corresponding letter:
2 14 5 → C
6 10 3 → H
1 7 3 → D
75 → L
1 → E
18 5 3 → F
5 2 1 → G
2 6 5 → Q
1 3 2 → Y
19 → O
178 2 1 → V
40 → E
8 5 3 → F
52 4 1 → W
27 → O
130 5 1 → L
Forming the Message Finally, let's form the message using the sequence of letters:
C H D L E F G Q Y O V E F W O L
Final Answer Therefore, the message is: C HD L EFGQ Y O V EF W O L
Examples
This exercise in fraction multiplication and pattern recognition is similar to tasks in cryptography, where you might decode messages by performing mathematical operations and matching results to letters or symbols. In real life, this could be used in simple coding exercises, deciphering secret messages, or even in creating puzzles for educational purposes. For example, you might encode a location's coordinates using fraction multiplication, requiring the solver to perform the calculations to reveal the location.
