How to apply BODMAS and Pemdas to expressions that involve positive and negative numbers.
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2+3x -4 =?
Incorrect Method Correct Method
-4
2 + 3 x -4 2+3x
-4 =2+ -12
= 5 x
= -20 = -10
Multiplication is done
BODMAS Pemdas
before Addition.
4.
12 ÷ -3 + -3 x2 =?
-3
12 ÷ + x 2-3 BODMAS Pemdas
= -4 + -3 x 2 Do Division and Multiplication
working from left to right.
= -4 + -3 x 2 BODMAS Pemdas
= -4 + -6
= -10
5.
( 6 -9 ) x 10 ÷ -3 =?
(6 – 9) x 10 ÷ -3 BODMAS Pemdas
= -3 x 10 ÷ -3
= -3 x 10 ÷ -3 BODMAS Pemdas
Do Division and Multiplication
= -30 ÷ -3 working from left to right.
1. 2. 3. 4.
= +10
B 0 D A
or or
= 10 M S
6.
30 ÷ -5 +4x -2 + 14 = ?
-5 -2
30 ÷ + 4 x + 14 BODMAS
= -6 +4x -2 + 14 BODMAS
= -6 + -8 + 14 BODMAS
Do Addition and Subtraction
= -6 + -8 + 14 working from left to right.
1. 2. 3. 4.
= -14 + 14
B 0 D A
= 0 or
M S
or
7.
12 + (4 - 20 ) - -6 =?
-6
12 + (4 - 20) - BODMAS
= 12 + -16 - -6 BODMAS
= 12 + -16 - -6 Do Addition and Subtraction
working from left to right.
= -4 - -6
1. 2. 3. 4.
= -4 + +6 B 0 D A
= 2 or
M S
or
8.
1. 2. 3. 4. After you have done "B" and "O",
B O D A (or P and E if using Pemdas)
or or
M S
just go from left to right doing
any "D" or "M" as you find them.
1. 2. 3. 4.
P E M A Then go from left to right doing
or or any "A" or "S" as you find them.
D S