Does $5sqrt{5}div5sqrt{5}$ equal 5 or 1 [closed]
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Does $5sqrt{5}div5sqrt{5}$ equal $5$ or $1$.
I think it is $1$ but I just want to check I have not missed anything.
roots
edited Nov 17 at 15:51
AryanSonwatikar
759
asked Nov 17 at 15:31
dagda1
601126
closed as off-topic by amWhy, Lord Shark the Unknown, max_zorn, zoli, Brahadeesh Nov 18 at 11:43
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Lord Shark the Unknown, max_zorn, zoli, Brahadeesh
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
up vote
0
down vote
favorite
Does $5sqrt{5}div5sqrt{5}$ equal $5$ or $1$.
I think it is $1$ but I just want to check I have not missed anything.
roots
edited Nov 17 at 15:51
AryanSonwatikar
759
asked Nov 17 at 15:31
dagda1
601126
closed as off-topic by amWhy, Lord Shark the Unknown, max_zorn, zoli, Brahadeesh Nov 18 at 11:43
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Lord Shark the Unknown, max_zorn, zoli, Brahadeesh
If this question can be reworded to fit the rules in the help center, please edit the question.
$(5sqrt 5div 5)sqrt{5}$ or $(5sqrt 5)div (5sqrt{5})$? :D
– Frpzzd
Nov 17 at 15:34
1
Are you reading this as $(5 sqrt 5) / (5 sqrt 5)$ or $(5 sqrt 5 / 5) sqrt{5}$? This is why parentheses really matter, even if there is a standard order of operations.... Going by the usual left-to-right order where the multiplication and division have the same precedence, it's $5$.
– T. Bongers
Nov 17 at 15:35
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Does $5sqrt{5}div5sqrt{5}$ equal $5$ or $1$.
I think it is $1$ but I just want to check I have not missed anything.
roots
edited Nov 17 at 15:51
AryanSonwatikar
759
asked Nov 17 at 15:31
dagda1
601126
Does $5sqrt{5}div5sqrt{5}$ equal $5$ or $1$.
I think it is $1$ but I just want to check I have not missed anything.
roots
roots
edited Nov 17 at 15:51
AryanSonwatikar
759
asked Nov 17 at 15:31
dagda1
601126
edited Nov 17 at 15:51
AryanSonwatikar
759
asked Nov 17 at 15:31
dagda1
601126
edited Nov 17 at 15:51
AryanSonwatikar
759
edited Nov 17 at 15:51
AryanSonwatikar
759
edited Nov 17 at 15:51
AryanSonwatikar
759
759
asked Nov 17 at 15:31
dagda1
601126
asked Nov 17 at 15:31
dagda1
601126
asked Nov 17 at 15:31
dagda1
601126
601126
closed as off-topic by amWhy, Lord Shark the Unknown, max_zorn, zoli, Brahadeesh Nov 18 at 11:43
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Lord Shark the Unknown, max_zorn, zoli, Brahadeesh
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by amWhy, Lord Shark the Unknown, max_zorn, zoli, Brahadeesh Nov 18 at 11:43
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Lord Shark the Unknown, max_zorn, zoli, Brahadeesh
If this question can be reworded to fit the rules in the help center, please edit the question.
$(5sqrt 5div 5)sqrt{5}$ or $(5sqrt 5)div (5sqrt{5})$? :D
– Frpzzd
Nov 17 at 15:34
1
Are you reading this as $(5 sqrt 5) / (5 sqrt 5)$ or $(5 sqrt 5 / 5) sqrt{5}$? This is why parentheses really matter, even if there is a standard order of operations.... Going by the usual left-to-right order where the multiplication and division have the same precedence, it's $5$.
– T. Bongers
Nov 17 at 15:35
add a comment |
$(5sqrt 5div 5)sqrt{5}$ or $(5sqrt 5)div (5sqrt{5})$? :D
– Frpzzd
Nov 17 at 15:34
1
Are you reading this as $(5 sqrt 5) / (5 sqrt 5)$ or $(5 sqrt 5 / 5) sqrt{5}$? This is why parentheses really matter, even if there is a standard order of operations.... Going by the usual left-to-right order where the multiplication and division have the same precedence, it's $5$.
– T. Bongers
Nov 17 at 15:35
$(5sqrt 5div 5)sqrt{5}$ or $(5sqrt 5)div (5sqrt{5})$? :D
– Frpzzd
Nov 17 at 15:34
$(5sqrt 5div 5)sqrt{5}$ or $(5sqrt 5)div (5sqrt{5})$? :D
– Frpzzd
Nov 17 at 15:34
1
1
Are you reading this as $(5 sqrt 5) / (5 sqrt 5)$ or $(5 sqrt 5 / 5) sqrt{5}$? This is why parentheses really matter, even if there is a standard order of operations.... Going by the usual left-to-right order where the multiplication and division have the same precedence, it's $5$.
– T. Bongers
Nov 17 at 15:35
Are you reading this as $(5 sqrt 5) / (5 sqrt 5)$ or $(5 sqrt 5 / 5) sqrt{5}$? This is why parentheses really matter, even if there is a standard order of operations.... Going by the usual left-to-right order where the multiplication and division have the same precedence, it's $5$.
– T. Bongers
Nov 17 at 15:35
add a comment |
2 Answers
2
active
oldest
votes
up vote
3
down vote
At face-value, it's ambiguous. But there's a convention that says evaluate from left to right, so the parens should be
$$((5sqrt{5})div 5)sqrt{5} =5.$$
answered Nov 17 at 15:35
B. Goddard
18.2k21340
2
That convention works when there is an actual multiplication sign like $cdot$ or $times$, but I have never seen it seriously applied when it is just notated as juxtaposition.
– Henning Makholm
Nov 17 at 15:39
1
For example if you see "$omega/2pi$", would you expect it to mean $fracomega2 pi$?
– Henning Makholm
Nov 17 at 15:47
@HenningMakholm I don't like the convention. It's for grade schoolers. So what I "expect" carries no weight. But grade schoolers don't divide things by $pi.$ Adults ask for parentheses.
– B. Goddard
Nov 17 at 15:50
add a comment |
up vote
3
down vote
Writing $5cdotsqrt5 div 5cdot sqrt 5$ would be ambiguous -- it wouldn't be clear whether you mean $((5cdotsqrt5) div 5)cdot 5$ or $(5cdotsqrt5) div (5cdot sqrt5)$.
However, when the multiplications are indicated just by placing expressions next to each other, they almost always bind tighter than operations that are notated with a visible symbol. So if someone writes $5sqrt 5 div 5sqrt 5$ the probability is overwhelming that they mean $frac{5sqrt5}{5sqrt 5}$, which is of course $1$.
(Or possibly they're wiseguys who are planning to select the opposite interpretation of whatever you choose. Writing $div$ instead of $/$ or a horizontal fraction bar suggests they are not much used to mathematical conventions).
answered Nov 17 at 15:45
Henning Makholm
236k16300534
1
I agree. $5 sqrt5$ can be thought of as a single (real) number, instead of a set of instructions.
– M. Wind
Nov 17 at 17:22
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
At face-value, it's ambiguous. But there's a convention that says evaluate from left to right, so the parens should be
$$((5sqrt{5})div 5)sqrt{5} =5.$$
answered Nov 17 at 15:35
B. Goddard
18.2k21340
2
That convention works when there is an actual multiplication sign like $cdot$ or $times$, but I have never seen it seriously applied when it is just notated as juxtaposition.
– Henning Makholm
Nov 17 at 15:39
1
For example if you see "$omega/2pi$", would you expect it to mean $fracomega2 pi$?
– Henning Makholm
Nov 17 at 15:47
@HenningMakholm I don't like the convention. It's for grade schoolers. So what I "expect" carries no weight. But grade schoolers don't divide things by $pi.$ Adults ask for parentheses.
– B. Goddard
Nov 17 at 15:50
add a comment |
up vote
3
down vote
At face-value, it's ambiguous. But there's a convention that says evaluate from left to right, so the parens should be
$$((5sqrt{5})div 5)sqrt{5} =5.$$
answered Nov 17 at 15:35
B. Goddard
18.2k21340
2
That convention works when there is an actual multiplication sign like $cdot$ or $times$, but I have never seen it seriously applied when it is just notated as juxtaposition.
– Henning Makholm
Nov 17 at 15:39
1
For example if you see "$omega/2pi$", would you expect it to mean $fracomega2 pi$?
– Henning Makholm
Nov 17 at 15:47
@HenningMakholm I don't like the convention. It's for grade schoolers. So what I "expect" carries no weight. But grade schoolers don't divide things by $pi.$ Adults ask for parentheses.
– B. Goddard
Nov 17 at 15:50
add a comment |
up vote
3
down vote
up vote
3
down vote
At face-value, it's ambiguous. But there's a convention that says evaluate from left to right, so the parens should be
$$((5sqrt{5})div 5)sqrt{5} =5.$$
answered Nov 17 at 15:35
B. Goddard
18.2k21340
At face-value, it's ambiguous. But there's a convention that says evaluate from left to right, so the parens should be
$$((5sqrt{5})div 5)sqrt{5} =5.$$
answered Nov 17 at 15:35
B. Goddard
18.2k21340
answered Nov 17 at 15:35
B. Goddard
18.2k21340
answered Nov 17 at 15:35
B. Goddard
18.2k21340
answered Nov 17 at 15:35
B. Goddard
18.2k21340
18.2k21340
2
That convention works when there is an actual multiplication sign like $cdot$ or $times$, but I have never seen it seriously applied when it is just notated as juxtaposition.
– Henning Makholm
Nov 17 at 15:39
1
For example if you see "$omega/2pi$", would you expect it to mean $fracomega2 pi$?
– Henning Makholm
Nov 17 at 15:47
@HenningMakholm I don't like the convention. It's for grade schoolers. So what I "expect" carries no weight. But grade schoolers don't divide things by $pi.$ Adults ask for parentheses.
– B. Goddard
Nov 17 at 15:50
add a comment |
2
That convention works when there is an actual multiplication sign like $cdot$ or $times$, but I have never seen it seriously applied when it is just notated as juxtaposition.
– Henning Makholm
Nov 17 at 15:39
1
For example if you see "$omega/2pi$", would you expect it to mean $fracomega2 pi$?
– Henning Makholm
Nov 17 at 15:47
@HenningMakholm I don't like the convention. It's for grade schoolers. So what I "expect" carries no weight. But grade schoolers don't divide things by $pi.$ Adults ask for parentheses.
– B. Goddard
Nov 17 at 15:50
2
2
That convention works when there is an actual multiplication sign like $cdot$ or $times$, but I have never seen it seriously applied when it is just notated as juxtaposition.
– Henning Makholm
Nov 17 at 15:39
That convention works when there is an actual multiplication sign like $cdot$ or $times$, but I have never seen it seriously applied when it is just notated as juxtaposition.
– Henning Makholm
Nov 17 at 15:39
1
1
For example if you see "$omega/2pi$", would you expect it to mean $fracomega2 pi$?
– Henning Makholm
Nov 17 at 15:47
For example if you see "$omega/2pi$", would you expect it to mean $fracomega2 pi$?
– Henning Makholm
Nov 17 at 15:47
@HenningMakholm I don't like the convention. It's for grade schoolers. So what I "expect" carries no weight. But grade schoolers don't divide things by $pi.$ Adults ask for parentheses.
– B. Goddard
Nov 17 at 15:50
@HenningMakholm I don't like the convention. It's for grade schoolers. So what I "expect" carries no weight. But grade schoolers don't divide things by $pi.$ Adults ask for parentheses.
– B. Goddard
Nov 17 at 15:50
add a comment |
up vote
3
down vote
Writing $5cdotsqrt5 div 5cdot sqrt 5$ would be ambiguous -- it wouldn't be clear whether you mean $((5cdotsqrt5) div 5)cdot 5$ or $(5cdotsqrt5) div (5cdot sqrt5)$.
However, when the multiplications are indicated just by placing expressions next to each other, they almost always bind tighter than operations that are notated with a visible symbol. So if someone writes $5sqrt 5 div 5sqrt 5$ the probability is overwhelming that they mean $frac{5sqrt5}{5sqrt 5}$, which is of course $1$.
(Or possibly they're wiseguys who are planning to select the opposite interpretation of whatever you choose. Writing $div$ instead of $/$ or a horizontal fraction bar suggests they are not much used to mathematical conventions).
answered Nov 17 at 15:45
Henning Makholm
236k16300534
1
I agree. $5 sqrt5$ can be thought of as a single (real) number, instead of a set of instructions.
– M. Wind
Nov 17 at 17:22
add a comment |
up vote
3
down vote
Writing $5cdotsqrt5 div 5cdot sqrt 5$ would be ambiguous -- it wouldn't be clear whether you mean $((5cdotsqrt5) div 5)cdot 5$ or $(5cdotsqrt5) div (5cdot sqrt5)$.
However, when the multiplications are indicated just by placing expressions next to each other, they almost always bind tighter than operations that are notated with a visible symbol. So if someone writes $5sqrt 5 div 5sqrt 5$ the probability is overwhelming that they mean $frac{5sqrt5}{5sqrt 5}$, which is of course $1$.
(Or possibly they're wiseguys who are planning to select the opposite interpretation of whatever you choose. Writing $div$ instead of $/$ or a horizontal fraction bar suggests they are not much used to mathematical conventions).
answered Nov 17 at 15:45
Henning Makholm
236k16300534
1
I agree. $5 sqrt5$ can be thought of as a single (real) number, instead of a set of instructions.
– M. Wind
Nov 17 at 17:22
add a comment |
up vote
3
down vote
up vote
3
down vote
Writing $5cdotsqrt5 div 5cdot sqrt 5$ would be ambiguous -- it wouldn't be clear whether you mean $((5cdotsqrt5) div 5)cdot 5$ or $(5cdotsqrt5) div (5cdot sqrt5)$.
However, when the multiplications are indicated just by placing expressions next to each other, they almost always bind tighter than operations that are notated with a visible symbol. So if someone writes $5sqrt 5 div 5sqrt 5$ the probability is overwhelming that they mean $frac{5sqrt5}{5sqrt 5}$, which is of course $1$.
(Or possibly they're wiseguys who are planning to select the opposite interpretation of whatever you choose. Writing $div$ instead of $/$ or a horizontal fraction bar suggests they are not much used to mathematical conventions).
answered Nov 17 at 15:45
Henning Makholm
236k16300534
Writing $5cdotsqrt5 div 5cdot sqrt 5$ would be ambiguous -- it wouldn't be clear whether you mean $((5cdotsqrt5) div 5)cdot 5$ or $(5cdotsqrt5) div (5cdot sqrt5)$.
However, when the multiplications are indicated just by placing expressions next to each other, they almost always bind tighter than operations that are notated with a visible symbol. So if someone writes $5sqrt 5 div 5sqrt 5$ the probability is overwhelming that they mean $frac{5sqrt5}{5sqrt 5}$, which is of course $1$.
(Or possibly they're wiseguys who are planning to select the opposite interpretation of whatever you choose. Writing $div$ instead of $/$ or a horizontal fraction bar suggests they are not much used to mathematical conventions).
answered Nov 17 at 15:45
Henning Makholm
236k16300534
answered Nov 17 at 15:45
Henning Makholm
236k16300534
answered Nov 17 at 15:45
Henning Makholm
236k16300534
answered Nov 17 at 15:45
Henning Makholm
236k16300534
236k16300534
1
I agree. $5 sqrt5$ can be thought of as a single (real) number, instead of a set of instructions.
– M. Wind
Nov 17 at 17:22
add a comment |
1
I agree. $5 sqrt5$ can be thought of as a single (real) number, instead of a set of instructions.
– M. Wind
Nov 17 at 17:22
1
1
I agree. $5 sqrt5$ can be thought of as a single (real) number, instead of a set of instructions.
– M. Wind
Nov 17 at 17:22
I agree. $5 sqrt5$ can be thought of as a single (real) number, instead of a set of instructions.
– M. Wind
Nov 17 at 17:22
add a comment |
$(5sqrt 5div 5)sqrt{5}$ or $(5sqrt 5)div (5sqrt{5})$? :D
– Frpzzd
Nov 17 at 15:34
1
Are you reading this as $(5 sqrt 5) / (5 sqrt 5)$ or $(5 sqrt 5 / 5) sqrt{5}$? This is why parentheses really matter, even if there is a standard order of operations.... Going by the usual left-to-right order where the multiplication and division have the same precedence, it's $5$.
– T. Bongers
Nov 17 at 15:35