Difference between revisions of "2025 AMC 8 Problems/Problem 2"

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== Solution 1 ==
 
== Solution 1 ==
  
The first hieroglyph is worth <math>10,000</math>, the next 4 are worth <math>100 \cdot 4 = 400</math>, the next <math>2</math> are worth <math>10 \cdot 2 = 20</math>, and the last <math>3</math> are worth <math>1 \cdot 3 = 3</math>. Therefore, the answer is <math>10,000 + 400 + 20 + 3 = \textbf{(B)}\ 10,423</math>
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The first hieroglyph is worth <math>10,000</math>, the next 4 are worth <math>100 \cdot 4 = 400</math>, the next <math>2</math> are worth <math>10 \cdot 2 = 20</math>, and the last <math>3</math> are worth <math>1 \cdot 3 = 3</math>. Therefore, the answer is <math>10,000 + 400 + 20 + 3 = \boxed{\textbf{(B)}\ 10,423}</math>
  
 
== Video Solution 1 (Detailed Explanation) ==
 
== Video Solution 1 (Detailed Explanation) ==

Revision as of 14:19, 2 February 2025

Problem

The table below shows the ancient Egyptian hieroglyphs that were used to represent different numbers.

Mathh.PNG

For example, the number $32$ was represented by the hieroglyphs $\cap \cap \cap ||$. What number is represented by the following combination of hieroglyphs?

Amc8 2025 prob 2 pic.PNG

$\textbf{(A)}\ 1,423 \qquad \textbf{(B)}\ 10,423 \qquad \textbf{(C)}\ 14,023 \qquad \textbf{(D)}\ 14,203 \qquad \textbf{(E)}\ 14,230$

Solution 1

The first hieroglyph is worth $10,000$, the next 4 are worth $100 \cdot 4 = 400$, the next $2$ are worth $10 \cdot 2 = 20$, and the last $3$ are worth $1 \cdot 3 = 3$. Therefore, the answer is $10,000 + 400 + 20 + 3 = \boxed{\textbf{(B)}\ 10,423}$

Video Solution 1 (Detailed Explanation)

https://youtu.be/j20JsyEXKcs

~ ChillGuyDoesMath

Video Solution 2 by SpreadTheMathLove

https://www.youtube.com/watch?v=jTTcscvcQmI

Video Solution 3 (A Clever Explanation You’ll Get Instantly)

https://youtu.be/VP7g-s8akMY?si=eptV4vO-YstwSQy1&t=105 ~hsnacademy

Video Solution 4 by Daily Dose of Math

https://youtu.be/rjd0gigUsd0

~Thesmartgreekmathdude

Video Solution 5 by Thinking Feet

https://youtu.be/PKMpTS6b988

Video Solution by CoolMathProblems

https://youtu.be/biB8GlB54oI

See Also

2025 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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