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1 mark

The following equation is incorrect. Which two signs should be interchanged to correct the equation?
2×12+15÷4−14=33

  1. A
    + and ×
  2. B
    + and ÷
  3. C
    − and +
  4. D
    ÷ and ×

Solution & Step-by-step Explanation

Let's test the options to find the correct interchange:
Option B: Interchange + and ÷
The equation becomes:

2×12÷15+4−14=33

15
12

+4−14=
15
24

−10

=33
(Incorrect)

Option D: Interchange ÷ and ×
The equation becomes:

2÷12+15×4−14=33
12
2

+60−14=
6
1

+46

=33
(Incorrect)

Option C: Interchange − and +
The equation becomes:

2×12−15÷4+14=33
24−3.75+14=34.25

=33
(Incorrect)

Let's re-verify Option A: Interchange + and ×:
The equation becomes:

2+12×15÷4−14=33
Applying BODMAS:
First, division:

15÷4=3.75
Then, multiplication:

12×3.75=45
Now rewrite the expression:

2+45−14
47−14=33
LHS = RHS. Thus, interchanging + and × corrects the equation.

Practice this question

Try it yourself before checking the explanation above.

The following equation is incorrect. Which two signs should be interchanged to correct the equation?
2×12+15÷4−14=33
A
+ and ×
B
+ and ÷
C
− and +
D
÷ and ×

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