Difference between revisions of "2023 AMC 12B Problems/Problem 4"
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~Failure.net | ~Failure.net | ||
| − | ==Solution 2 ( | + | ==Solution 2 (Scientific Form)== |
<math>6.5</math> millimeters can be represented as <math>65 \times 10^{-2}</math> centimeters. <math>25</math> meters is <math>25 \times 10^{2}</math> centimeters. Multiplying out these results in <math>(65 \times 10^{-2}) \times (25 \times 10^{2})</math>, which is <math>65 \times 25</math> making the answer <math>\boxed{\textbf{(C) 1,625}}</math>. | <math>6.5</math> millimeters can be represented as <math>65 \times 10^{-2}</math> centimeters. <math>25</math> meters is <math>25 \times 10^{2}</math> centimeters. Multiplying out these results in <math>(65 \times 10^{-2}) \times (25 \times 10^{2})</math>, which is <math>65 \times 25</math> making the answer <math>\boxed{\textbf{(C) 1,625}}</math>. | ||
~darrenn.cp | ~darrenn.cp | ||
| + | ==Remark== | ||
| + | A good way to remember metric conversions is with the phrase ''' "King Henry Died By Drinking Chocolate Milk" ''' (Kilo, Hecto, Deka, Basic units, Deci, Centi, Milli). As you read from left to right you divide by 10. So 1 meter (which is a basic unit) is equivalent to <math>1000</math> millimeters, or <math>100</math> centimeters. | ||
| + | |||
| + | ~[https://artofproblemsolving.com/wiki/index.php/User:grogg007 grogg007] | ||
==Video Solution 1 by SpreadTheMathLove== | ==Video Solution 1 by SpreadTheMathLove== | ||
https://www.youtube.com/watch?v=SUnhwbA5_So | https://www.youtube.com/watch?v=SUnhwbA5_So | ||
| + | |||
| + | ==Video Solution by Math-X (First understand the problem!!!)== | ||
| + | https://youtu.be/EuLkw8HFdk4?si=mEwHK_VyAr1h0O1A&t=808 | ||
| + | |||
| + | ~Math-X | ||
| + | |||
| + | ==Video Solution== | ||
| + | |||
| + | https://youtu.be/BZ1zeFvw5hU | ||
| + | |||
| + | |||
| + | ~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com) | ||
| + | |||
| + | ==Video Solution by Interstigation== | ||
| + | https://youtu.be/gDnmvcOzxjg?si=cYB6uChy7Ue0UT4L | ||
==See also== | ==See also== | ||
Latest revision as of 00:41, 25 June 2025
- The following problem is from both the 2023 AMC 10B #4 and 2023 AMC 12B #4, so both problems redirect to this page.
Contents
Problem
Jackson's paintbrush makes a narrow strip with a width of 
millimeters. Jackson has enough paint to make a strip 
meters long. How many square centimeters of paper could Jackson cover with paint?
Solution 1
millimeters is equal to 
centimeters. meters is 
centimeters. The answer is 
, so the answer is 
.
~Failure.net
Solution 2 (Scientific Form)
millimeters can be represented as 
centimeters. meters is 
centimeters. Multiplying out these results in 
, which is 
making the answer .
~darrenn.cp
Remark
A good way to remember metric conversions is with the phrase "King Henry Died By Drinking Chocolate Milk" (Kilo, Hecto, Deka, Basic units, Deci, Centi, Milli). As you read from left to right you divide by 10. So 1 meter (which is a basic unit) is equivalent to 
millimeters, or 
centimeters.
Video Solution 1 by SpreadTheMathLove
https://www.youtube.com/watch?v=SUnhwbA5_So
Video Solution by Math-X (First understand the problem!!!)
https://youtu.be/EuLkw8HFdk4?si=mEwHK_VyAr1h0O1A&t=808
~Math-X
Video Solution
~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com)
Video Solution by Interstigation
https://youtu.be/gDnmvcOzxjg?si=cYB6uChy7Ue0UT4L
See also
| 2023 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 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 AMC 10 Problems and Solutions | ||
| 2023 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 3 |
Followed by Problem 5 |
| 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 AMC 12 Problems and Solutions | |
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
