When doing mathematical equations there is a rule that we must
follow. A fancy term for this is mathematical hierarchy. This is a very
important rule, if you don't follow it you can make some big time
mistakes. One good thing about math rules (unlike English) there are no
exceptions. Most good calculators will follow the rule of mathematical
hierarchy.
DO ALL MULTIPLICATION AND DIVISION IN THE ORDER GIVEN FIRST AND THEN DO
ADDITIONS AND SUBTRACTIONS IN THE ORDER GIVEN! DO EXPRESSIONS IN PARENTHESIS FIRST
WORKING FROM INSIDE OUT!
Also for every opening parenthesis you need a closing parenthesis.
EXAMPLE:
(2+3(4x5)+(12÷4)÷3+2) do inside parenthesis first.
4 x 5 = 20 and 12 ÷ 4 = 3
(2+3(20)+(3)÷3+2) Next multiply 3 x 20 = 60
And then divide 3 ÷ 3 = 1
(2+60+1+2) Looking simpler now!
65 is the answer.
Same Problem with
(2+3((4x5)+(12÷4))÷3+2) Work innermost brackets
an extra set of
first 4 x 5 and 12 ÷ 4
parenthesis
(2+3(20+3)÷3+2) Now we do another inner bracket 20 + 3
(2+3(23)÷3+2) Next do multiplication. 3 x 23
(2+69÷3+2)
Then divide 69 ÷ 3
(2+23+2)
27 See how the answer changes with one extra set
of brackets. It changes the priority of solving
the problem.
Multiplication next to a bracket can either read: 4 x (2+3) or
4(2+3)The sign can be left out.
A fraction is nothing more than a division problem. 1/2 = 1 ÷ 2 =
2 1 = .5 these are all the same number.
Break down the following problems:
((6 x 3)÷10)+2(4 ÷ 2)
(((5 x 3 + 5)(12 ÷ 4 - 3))+8 - 2)
1. _________________________
4. ___________________________
2. _________________________
5. ___________________________
6. ___________________________
3. Answer ______
7. Answer ______
Note: You can enter these formulas exactly how they appear, parenthesis
and all, with the calculator optionally purchased with this manual from
DVC Planners.
follow. A fancy term for this is mathematical hierarchy. This is a very
important rule, if you don't follow it you can make some big time
mistakes. One good thing about math rules (unlike English) there are no
exceptions. Most good calculators will follow the rule of mathematical
hierarchy.
DO ALL MULTIPLICATION AND DIVISION IN THE ORDER GIVEN FIRST AND THEN DO
ADDITIONS AND SUBTRACTIONS IN THE ORDER GIVEN! DO EXPRESSIONS IN PARENTHESIS FIRST
WORKING FROM INSIDE OUT!
Also for every opening parenthesis you need a closing parenthesis.
EXAMPLE:
(2+3(4x5)+(12÷4)÷3+2) do inside parenthesis first.
4 x 5 = 20 and 12 ÷ 4 = 3
(2+3(20)+(3)÷3+2) Next multiply 3 x 20 = 60
And then divide 3 ÷ 3 = 1
(2+60+1+2) Looking simpler now!
65 is the answer.
Same Problem with
(2+3((4x5)+(12÷4))÷3+2) Work innermost brackets
an extra set of
first 4 x 5 and 12 ÷ 4
parenthesis
(2+3(20+3)÷3+2) Now we do another inner bracket 20 + 3
(2+3(23)÷3+2) Next do multiplication. 3 x 23
(2+69÷3+2)
Then divide 69 ÷ 3
(2+23+2)
27 See how the answer changes with one extra set
of brackets. It changes the priority of solving
the problem.
Multiplication next to a bracket can either read: 4 x (2+3) or
4(2+3)The sign can be left out.
A fraction is nothing more than a division problem. 1/2 = 1 ÷ 2 =
2 1 = .5 these are all the same number.
Break down the following problems:
((6 x 3)÷10)+2(4 ÷ 2)
(((5 x 3 + 5)(12 ÷ 4 - 3))+8 - 2)
1. _________________________
4. ___________________________
2. _________________________
5. ___________________________
6. ___________________________
3. Answer ______
7. Answer ______
Note: You can enter these formulas exactly how they appear, parenthesis
and all, with the calculator optionally purchased with this manual from
DVC Planners.
ORDER IN THE MATH
No part of this publication may be reproduced, or transmitted, or stored, in any form or
by any means, electronic, mechanical, photocopying, recording, or otherwise, without
the prior written permission of SheetMetalWorkBook.com
Sixth Edition Reformatted for Internet
©2012 SheetMetalWorkBook.com
