infix and postfix

Question 1

9 3 / 5 + =

Answer 1

9 / 3 -> 3 5 + -> 3 + 5 = 8

Question 2

35*7+ =

Answer 2

(3*5) -> (7 + 15) -> 22

Question 3

42351-+*+ =

Answer 3

4234++ -> 427+ -> 4(14)+ -> 18

Question 4

in postfix there is no need for an order of ……… of ………..

Answer 4

precedence, operators

Question 5

…… can be ……… by a computer as they are entered ….. to ……

Answer 5

postfix, evaluated, left, right

Question 6

an …… in postfix can be ……. by a computer …… than one in infix

Answer 6

expression, processed, quicker

Question 7

no need for ……

Answer 7

brackets

Question 8

infix to postfix - step one, add the ….
3+2+2*5 =

Answer 8

brackets
((3+2) + (2*5))

Question 9

infix to postfix - step two, move operations out of brackets
((3+2) + (2*5)) =

Answer 9

((3 2) + (2 5) *) +

Question 10

infix to postfix - step 3, remove brackets
((3 2) + (2 5) *) + =

Answer 10

3 2 + 2 5 * +

Question 11

postfix to infix - step one, put all the terms up until the first …… into the bins
3 4 + 2 * =

Answer 11

4
3

Question 12

postfix to infix - step two, add operation in between the 2 most recent values (number at top moves to right)
4 +
3

Answer 12

3 + 4

Question 13

postfix to infix - step 3, add the next numbers
(3 + 4) 2 * =

Answer 13

2
(3 + 4)

Question 14

postfix to infix - step 4, apply operation to next two values
2 *
(3 + 4)

Answer 14

(3 + 4) * 2

Question 15

when converting from postfix to infix, the number at the top moves to the ……

Answer 15

right

Question 16

what is infix?

Answer 16

humans solving maths by BIDMAS

Question 17

what is postfix?

Answer 17

computers solving maths (stack)

Question 18

what is another name for postfix

Answer 18

RPN

Question 19

what does RPN stand for

Answer 19

reverse polish notation