How to make 18 from 1, 3, 4, 8
4
$begingroup$
This question was on my sister's 5th-grade homework, practicing order of operations. It was to make 18, using the numbers 1, 3, 4, 8 and the operations +, -, and *. The instructions imply using each operation only once. Additionally, grouping with parenthesis is allowed.
Neither my sister, my father, or I were able to find a solution. I even tried writing a python script to attempt all possible solutions to the problem, to no avail.
Can you do what we can't? Or is the problem flawed?
Edit: Here is a picture of the original worksheet. The problem in question is #11. I assume that operations are only allowed once, because some of the other problems have an operation repeated, and because it refers to rearranging operations and numbers on a mat.
mathematics calculation-puzzle formation-of-numbers
asked Mar 18 at 22:04
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
|
show 3 more comments
4
$begingroup$
This question was on my sister's 5th-grade homework, practicing order of operations. It was to make 18, using the numbers 1, 3, 4, 8 and the operations +, -, and *. The instructions imply using each operation only once. Additionally, grouping with parenthesis is allowed.
Neither my sister, my father, or I were able to find a solution. I even tried writing a python script to attempt all possible solutions to the problem, to no avail.
Can you do what we can't? Or is the problem flawed?
Edit: Here is a picture of the original worksheet. The problem in question is #11. I assume that operations are only allowed once, because some of the other problems have an operation repeated, and because it refers to rearranging operations and numbers on a mat.
mathematics calculation-puzzle formation-of-numbers
asked Mar 18 at 22:04
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
2
$begingroup$
Welcome to Puzzling.SE! I have a few questions - 1. Can the order of the numbers be changed? 2. Did you omit division on purpose or by accident? 3. Are there any other allowed operators (concatenation, exponents, roots, etc.
$endgroup$
– Brandon_J
Mar 18 at 22:18
1
$begingroup$
@Brandon_J, Order of numbers can be changed. Division and other operations intentionally omitted.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
@ferret I've updated the question with the original worksheet.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
I suspect that the teacher either meant 16 or 17, as both are possible.
$endgroup$
– Brandon_J
Mar 19 at 2:02
1
$begingroup$
I just added an answer. It was, in fact, a typo.
$endgroup$
– BillThePlatypus
2 days ago
|
show 3 more comments
4
4
4
$begingroup$
This question was on my sister's 5th-grade homework, practicing order of operations. It was to make 18, using the numbers 1, 3, 4, 8 and the operations +, -, and *. The instructions imply using each operation only once. Additionally, grouping with parenthesis is allowed.
Neither my sister, my father, or I were able to find a solution. I even tried writing a python script to attempt all possible solutions to the problem, to no avail.
Can you do what we can't? Or is the problem flawed?
Edit: Here is a picture of the original worksheet. The problem in question is #11. I assume that operations are only allowed once, because some of the other problems have an operation repeated, and because it refers to rearranging operations and numbers on a mat.
mathematics calculation-puzzle formation-of-numbers
asked Mar 18 at 22:04
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
This question was on my sister's 5th-grade homework, practicing order of operations. It was to make 18, using the numbers 1, 3, 4, 8 and the operations +, -, and *. The instructions imply using each operation only once. Additionally, grouping with parenthesis is allowed.
Neither my sister, my father, or I were able to find a solution. I even tried writing a python script to attempt all possible solutions to the problem, to no avail.
Can you do what we can't? Or is the problem flawed?
Edit: Here is a picture of the original worksheet. The problem in question is #11. I assume that operations are only allowed once, because some of the other problems have an operation repeated, and because it refers to rearranging operations and numbers on a mat.
mathematics calculation-puzzle formation-of-numbers
mathematics calculation-puzzle formation-of-numbers
asked Mar 18 at 22:04
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 18 at 22:04
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Mar 18 at 23:20
BillThePlatypus
asked Mar 18 at 22:04
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 18 at 22:04
BillThePlatypusBillThePlatypus
1414
asked Mar 18 at 22:04
BillThePlatypusBillThePlatypus
1414
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
2
$begingroup$
Welcome to Puzzling.SE! I have a few questions - 1. Can the order of the numbers be changed? 2. Did you omit division on purpose or by accident? 3. Are there any other allowed operators (concatenation, exponents, roots, etc.
$endgroup$
– Brandon_J
Mar 18 at 22:18
1
$begingroup$
@Brandon_J, Order of numbers can be changed. Division and other operations intentionally omitted.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
@ferret I've updated the question with the original worksheet.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
I suspect that the teacher either meant 16 or 17, as both are possible.
$endgroup$
– Brandon_J
Mar 19 at 2:02
1
$begingroup$
I just added an answer. It was, in fact, a typo.
$endgroup$
– BillThePlatypus
2 days ago
|
show 3 more comments
2
$begingroup$
Welcome to Puzzling.SE! I have a few questions - 1. Can the order of the numbers be changed? 2. Did you omit division on purpose or by accident? 3. Are there any other allowed operators (concatenation, exponents, roots, etc.
$endgroup$
– Brandon_J
Mar 18 at 22:18
1
$begingroup$
@Brandon_J, Order of numbers can be changed. Division and other operations intentionally omitted.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
@ferret I've updated the question with the original worksheet.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
I suspect that the teacher either meant 16 or 17, as both are possible.
$endgroup$
– Brandon_J
Mar 19 at 2:02
1
$begingroup$
I just added an answer. It was, in fact, a typo.
$endgroup$
– BillThePlatypus
2 days ago
2
2
$begingroup$
Welcome to Puzzling.SE! I have a few questions - 1. Can the order of the numbers be changed? 2. Did you omit division on purpose or by accident? 3. Are there any other allowed operators (concatenation, exponents, roots, etc.
$endgroup$
– Brandon_J
Mar 18 at 22:18
$begingroup$
Welcome to Puzzling.SE! I have a few questions - 1. Can the order of the numbers be changed? 2. Did you omit division on purpose or by accident? 3. Are there any other allowed operators (concatenation, exponents, roots, etc.
$endgroup$
– Brandon_J
Mar 18 at 22:18
1
1
$begingroup$
@Brandon_J, Order of numbers can be changed. Division and other operations intentionally omitted.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
@Brandon_J, Order of numbers can be changed. Division and other operations intentionally omitted.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
@ferret I've updated the question with the original worksheet.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
@ferret I've updated the question with the original worksheet.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
I suspect that the teacher either meant 16 or 17, as both are possible.
$endgroup$
– Brandon_J
Mar 19 at 2:02
$begingroup$
I suspect that the teacher either meant 16 or 17, as both are possible.
$endgroup$
– Brandon_J
Mar 19 at 2:02
1
1
$begingroup$
I just added an answer. It was, in fact, a typo.
$endgroup$
– BillThePlatypus
2 days ago
$begingroup$
I just added an answer. It was, in fact, a typo.
$endgroup$
– BillThePlatypus
2 days ago
|
show 3 more comments
2 Answers
2
active
oldest
votes
2
$begingroup$
Here it is.....
$18 * (4-3) = 18$
edited Mar 18 at 23:24
Omega Krypton
4,9452544
answered Mar 18 at 23:20
ppgdevppgdev
19816
$endgroup$
2
$begingroup$
This works if concatenation is allowed. Considering it's a question for 5th graders, I doubt there is a "trick" like this, so I'm thinking it's a mistake by the teacher
$endgroup$
– ferret
Mar 18 at 23:25
$begingroup$
I agree with ferret. It is highly unlikely that concatenation is allowed, given the circumstances.
$endgroup$
– Brandon_J
Mar 19 at 2:04
$begingroup$
See, for example, problems five, six, and nine. If concatenation were allowed, there would be no need to join the digits of the 2-digit numbers together.
$endgroup$
– Brandon_J
Mar 19 at 2:36
2
$begingroup$
@Brandon_J and ferret, you are both probably right. Let's wait for the teacher's explanation :-)
$endgroup$
– ppgdev
Mar 19 at 2:52
$begingroup$
Yeah. Feel kinda bad for the teacher, tbh - I'm sure she'll feel bad for all the people that spent so much time on this.
$endgroup$
– Brandon_J
Mar 19 at 3:02
add a comment |
2
$begingroup$
As I had suspected, the teacher confirmed that the question was incorrect, and there is no correct answer.
Thank you all for the attempts.
answered 2 days ago
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
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2 Answers
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2 Answers
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2
$begingroup$
Here it is.....
$18 * (4-3) = 18$
edited Mar 18 at 23:24
Omega Krypton
4,9452544
answered Mar 18 at 23:20
ppgdevppgdev
19816
$endgroup$
2
$begingroup$
This works if concatenation is allowed. Considering it's a question for 5th graders, I doubt there is a "trick" like this, so I'm thinking it's a mistake by the teacher
$endgroup$
– ferret
Mar 18 at 23:25
$begingroup$
I agree with ferret. It is highly unlikely that concatenation is allowed, given the circumstances.
$endgroup$
– Brandon_J
Mar 19 at 2:04
$begingroup$
See, for example, problems five, six, and nine. If concatenation were allowed, there would be no need to join the digits of the 2-digit numbers together.
$endgroup$
– Brandon_J
Mar 19 at 2:36
2
$begingroup$
@Brandon_J and ferret, you are both probably right. Let's wait for the teacher's explanation :-)
$endgroup$
– ppgdev
Mar 19 at 2:52
$begingroup$
Yeah. Feel kinda bad for the teacher, tbh - I'm sure she'll feel bad for all the people that spent so much time on this.
$endgroup$
– Brandon_J
Mar 19 at 3:02
add a comment |
2
$begingroup$
Here it is.....
$18 * (4-3) = 18$
edited Mar 18 at 23:24
Omega Krypton
4,9452544
answered Mar 18 at 23:20
ppgdevppgdev
19816
$endgroup$
2
$begingroup$
This works if concatenation is allowed. Considering it's a question for 5th graders, I doubt there is a "trick" like this, so I'm thinking it's a mistake by the teacher
$endgroup$
– ferret
Mar 18 at 23:25
$begingroup$
I agree with ferret. It is highly unlikely that concatenation is allowed, given the circumstances.
$endgroup$
– Brandon_J
Mar 19 at 2:04
$begingroup$
See, for example, problems five, six, and nine. If concatenation were allowed, there would be no need to join the digits of the 2-digit numbers together.
$endgroup$
– Brandon_J
Mar 19 at 2:36
2
$begingroup$
@Brandon_J and ferret, you are both probably right. Let's wait for the teacher's explanation :-)
$endgroup$
– ppgdev
Mar 19 at 2:52
$begingroup$
Yeah. Feel kinda bad for the teacher, tbh - I'm sure she'll feel bad for all the people that spent so much time on this.
$endgroup$
– Brandon_J
Mar 19 at 3:02
add a comment |
2
2
2
$begingroup$
Here it is.....
$18 * (4-3) = 18$
edited Mar 18 at 23:24
Omega Krypton
4,9452544
answered Mar 18 at 23:20
ppgdevppgdev
19816
$endgroup$
Here it is.....
$18 * (4-3) = 18$
edited Mar 18 at 23:24
Omega Krypton
4,9452544
answered Mar 18 at 23:20
ppgdevppgdev
19816
edited Mar 18 at 23:24
Omega Krypton
4,9452544
edited Mar 18 at 23:24
Omega Krypton
4,9452544
edited Mar 18 at 23:24
Omega Krypton
4,9452544
4,9452544
answered Mar 18 at 23:20
ppgdevppgdev
19816
answered Mar 18 at 23:20
ppgdevppgdev
19816
answered Mar 18 at 23:20
ppgdevppgdev
19816
19816
2
$begingroup$
This works if concatenation is allowed. Considering it's a question for 5th graders, I doubt there is a "trick" like this, so I'm thinking it's a mistake by the teacher
$endgroup$
– ferret
Mar 18 at 23:25
$begingroup$
I agree with ferret. It is highly unlikely that concatenation is allowed, given the circumstances.
$endgroup$
– Brandon_J
Mar 19 at 2:04
$begingroup$
See, for example, problems five, six, and nine. If concatenation were allowed, there would be no need to join the digits of the 2-digit numbers together.
$endgroup$
– Brandon_J
Mar 19 at 2:36
2
$begingroup$
@Brandon_J and ferret, you are both probably right. Let's wait for the teacher's explanation :-)
$endgroup$
– ppgdev
Mar 19 at 2:52
$begingroup$
Yeah. Feel kinda bad for the teacher, tbh - I'm sure she'll feel bad for all the people that spent so much time on this.
$endgroup$
– Brandon_J
Mar 19 at 3:02
add a comment |
2
$begingroup$
This works if concatenation is allowed. Considering it's a question for 5th graders, I doubt there is a "trick" like this, so I'm thinking it's a mistake by the teacher
$endgroup$
– ferret
Mar 18 at 23:25
$begingroup$
I agree with ferret. It is highly unlikely that concatenation is allowed, given the circumstances.
$endgroup$
– Brandon_J
Mar 19 at 2:04
$begingroup$
See, for example, problems five, six, and nine. If concatenation were allowed, there would be no need to join the digits of the 2-digit numbers together.
$endgroup$
– Brandon_J
Mar 19 at 2:36
2
$begingroup$
@Brandon_J and ferret, you are both probably right. Let's wait for the teacher's explanation :-)
$endgroup$
– ppgdev
Mar 19 at 2:52
$begingroup$
Yeah. Feel kinda bad for the teacher, tbh - I'm sure she'll feel bad for all the people that spent so much time on this.
$endgroup$
– Brandon_J
Mar 19 at 3:02
2
2
$begingroup$
This works if concatenation is allowed. Considering it's a question for 5th graders, I doubt there is a "trick" like this, so I'm thinking it's a mistake by the teacher
$endgroup$
– ferret
Mar 18 at 23:25
$begingroup$
This works if concatenation is allowed. Considering it's a question for 5th graders, I doubt there is a "trick" like this, so I'm thinking it's a mistake by the teacher
$endgroup$
– ferret
Mar 18 at 23:25
$begingroup$
I agree with ferret. It is highly unlikely that concatenation is allowed, given the circumstances.
$endgroup$
– Brandon_J
Mar 19 at 2:04
$begingroup$
I agree with ferret. It is highly unlikely that concatenation is allowed, given the circumstances.
$endgroup$
– Brandon_J
Mar 19 at 2:04
$begingroup$
See, for example, problems five, six, and nine. If concatenation were allowed, there would be no need to join the digits of the 2-digit numbers together.
$endgroup$
– Brandon_J
Mar 19 at 2:36
$begingroup$
See, for example, problems five, six, and nine. If concatenation were allowed, there would be no need to join the digits of the 2-digit numbers together.
$endgroup$
– Brandon_J
Mar 19 at 2:36
2
2
$begingroup$
@Brandon_J and ferret, you are both probably right. Let's wait for the teacher's explanation :-)
$endgroup$
– ppgdev
Mar 19 at 2:52
$begingroup$
@Brandon_J and ferret, you are both probably right. Let's wait for the teacher's explanation :-)
$endgroup$
– ppgdev
Mar 19 at 2:52
$begingroup$
Yeah. Feel kinda bad for the teacher, tbh - I'm sure she'll feel bad for all the people that spent so much time on this.
$endgroup$
– Brandon_J
Mar 19 at 3:02
$begingroup$
Yeah. Feel kinda bad for the teacher, tbh - I'm sure she'll feel bad for all the people that spent so much time on this.
$endgroup$
– Brandon_J
Mar 19 at 3:02
add a comment |
2
$begingroup$
As I had suspected, the teacher confirmed that the question was incorrect, and there is no correct answer.
Thank you all for the attempts.
answered 2 days ago
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
2
$begingroup$
As I had suspected, the teacher confirmed that the question was incorrect, and there is no correct answer.
Thank you all for the attempts.
answered 2 days ago
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
2
2
2
$begingroup$
As I had suspected, the teacher confirmed that the question was incorrect, and there is no correct answer.
Thank you all for the attempts.
answered 2 days ago
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
As I had suspected, the teacher confirmed that the question was incorrect, and there is no correct answer.
Thank you all for the attempts.
answered 2 days ago
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered 2 days ago
BillThePlatypusBillThePlatypus
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered 2 days ago
BillThePlatypusBillThePlatypus
1414
answered 2 days ago
BillThePlatypusBillThePlatypus
1414
1414
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
BillThePlatypus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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add a comment |
BillThePlatypus is a new contributor. Be nice, and check out our Code of Conduct.
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2
$begingroup$
Welcome to Puzzling.SE! I have a few questions - 1. Can the order of the numbers be changed? 2. Did you omit division on purpose or by accident? 3. Are there any other allowed operators (concatenation, exponents, roots, etc.
$endgroup$
– Brandon_J
Mar 18 at 22:18
1
$begingroup$
@Brandon_J, Order of numbers can be changed. Division and other operations intentionally omitted.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
@ferret I've updated the question with the original worksheet.
$endgroup$
– BillThePlatypus
Mar 18 at 23:18
$begingroup$
I suspect that the teacher either meant 16 or 17, as both are possible.
$endgroup$
– Brandon_J
Mar 19 at 2:02
1
$begingroup$
I just added an answer. It was, in fact, a typo.
$endgroup$
– BillThePlatypus
2 days ago