what is 9 minus 3 divided by 1/3 plus 1?
The answer is as follows:
9-3÷1/3+1
9-3*3/1+1
9-9+1
0+1
Answer = 1
Posted question:
9 minus 3 divided by 1/3 plus 1
I guess the person who asked was looking at the following problem:
9 - 3 / (1/3) + 1
In that case:
9 - 3 / (1/3) + 1
= 9 - [3 / (1/3)] + 1
= 9 - [3 * 3 ] + 1
= 9 - 9 + 1
= 0 + 1 = 1
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If that person meant:
[(9 - 3)/ (1/3)] + 1
The solution would be:
[(9 - 3)/ (1/3)] + 1
= [ 6 / (1/3)] + 1
= [ 6 * 3 ] + 1
= 18 + 1 = 19
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Just like Steve wrote on May 7, 2016: "As you can see, using math symbols is a lot less ambiguous than just words, and grouping parentheses make all the difference!"
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About the other solutions people posted here:
Jim (June 25, 2016):
"3 divided by 1/3 is 1"
This is wrong. 3 divided by 3 is 1. 3 divided by 1/3 is 9.
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Again Jim (June 25, 2016):
"9-(1)+1=9-2=7."
Also wrong. 9 - 1 + 1 = 9.
You can either do it this way:
(9 - 1) + 1
= 8 + 1 = 9
Or this way:
9 + (-1 + 1)
= 9 + 0 = 9
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ashok joosery (June 26, 2016) and Xandra (June 27, 2016):
"= 9 - (3 ÷ 1/3) + 1
= 9 - (9 +1)
= 9 - (10)
= -1"
Same mistake. It's either:
(9 - 9) + 1
= 0 + 1 = 1
Or:
9 + (-9 + 1)
= 9 + (-8)
= 9 - 8 = 1
Always remember the order of operations. If there are brackets you do those first, if there are none you do divide and multiplication first and then work it out from left to right.
Here's one way to interpret this problem.
9-3 = 6
6 / (1/3) = 6 * 3 = 18
18 + 1 = 19
3/1/3=3*3=9
9-9=0
0+1=1
Do the divide first and as it involves a fraction you have to turn into a times. 3/1/3 becomes 3*3=9 then do it from left to right 9-9=0 0+1=1 The answer is 1.
FFS division 1st, then 9-9 is 0 plus one is 1 how is this open to debate?
other interpretations of
9 minus 3 divided by 1/3 plus 1
are
(9-3)/(1/3) + 1 = 6*3+1 = 19
(9-3)/(1/3 + 1) = 6/(4/3) = 9/2
9 - 3/(1/3) + 1 = 9-9+1 = 1
9 - 3/(1/3 + 1) = 9 - 9/4 = 27/4
As you can see, using math symbols is a lot less ambiguous than just words, and grouping parentheses make all the difference!
9
Refere to PEMDAS rule.
9 - 3 ÷ 1/3 + 1
= 9 - (3 ÷ 1/3) + 1
= 9 - (9 +1)
= 9 - 8 = 1
9 - 3 ÷ 1/3 + 1
= 9 - (3 ÷ 1/3) + 1
= 9 - (9 +1)
= 9 - (10)
= -1
9-3÷1/3+1
Step I:
-3÷1/3= -3*3/1
= -9
Now we have 9-9+1
StepII:
You take positive 9 (the first 9 in the expression above) add it to 1 i.e. 9+1=10
Here we have 10-9
Step II:
Finally take 10-9=1.
Caution: There are 3 common mistakes that most people made when solving the above problem:
1. Failing to notice that 3 is being divide by 1/3 and not by 3.
2. Introducing parenthesis unnecessarily
3. Applying negative signs to non negative values.
-1. Using order of operations multiply, divide, addition, subtraction. Since there is no multiply, go to divide 3 by one third, which is actually 3x3, then add one. Then subtract 10 from nine and you get -1
Would it matter if the equation was written as:
9-3
_______ + 1 ????
(1/3)
9-3*1/3+1= 9-(3*1/3)+1= 9-9+1=1
9-3=6
6 divided by 1/3 equals 2 because 2+2+2=6
So 2+1=3
This is how I interpret using DMAS rule:
First comes 1/3, which is 0.3
Now our expression is this:
9-3/0.3+1
We divide first 3/0.3
9-10+1
Now comes Addition, which gives
9-9
Finally, 9-9 gives 0
19
Ok. My understanding of this problem is as follows: 1st we look @ 9-3 which equals 6 correct? Then we see 6 which is divided by 1/3 which equals 2 correct? Then you add 1 which equals 3 correct? What am I missing ?
I calculated 19 so I am with you Ms. Sue.
9-3/1/3+1
M.D.A.S
1/3*3=1
9-1+1
=9
9 - 3 divided by 1/3 plus 1 =
9 - 3 equals 6 divided by 1/3 plus 1 =
6 divided by 1/3 plus 1 =
18 plus 1 =
19
(step by step and no jumping)
= 9-(3:1/3)+1
= 9-(9+1)
= 9-10
= -1
9-3÷1/3+1=
9-(3÷1/3)+1=
3 divided by 1/3 is 1.
9-(1)+1=
PEMDAS
1+1=2
9-2=7.
The correct answer is 7.