Which of the following sequences of signs would replace '*' to correctly solve the given equation?
14 24 3 5 3 * 7
- A+, ÷, -, ×, =
- B+, ÷, ×, -, =
- C÷, +, ×, -, =
- D+, ×, ÷, -, =
Solution & Step-by-step Explanation
Let's test the options using the BODMAS rule:
Test Option B: +, ÷, ×, −, =
The equation becomes:
14+24÷3×5−3=7
Applying BODMAS:
Division: 24÷3=8
14+8×5−3=7
Multiplication: 8×5=40
14+40−3=7
Addition and Subtraction:
54−3=51
=7
Option B is incorrect.
Let's check Option A: +, ÷, −, ×, =
The equation becomes:
14+24÷3−5×3=7
Applying BODMAS:
Division: 24÷3=8
14+8−5×3=7
Multiplication: 5×3=15
14+8−15=7
Simplify:
22−15=7
7=7
LHS = RHS. Thus, Option A is correct.
Test Option B: +, ÷, ×, −, =
The equation becomes:
14+24÷3×5−3=7
Applying BODMAS:
Division: 24÷3=8
14+8×5−3=7
Multiplication: 8×5=40
14+40−3=7
Addition and Subtraction:
54−3=51
=7
Option B is incorrect.
Let's check Option A: +, ÷, −, ×, =
The equation becomes:
14+24÷3−5×3=7
Applying BODMAS:
Division: 24÷3=8
14+8−5×3=7
Multiplication: 5×3=15
14+8−15=7
Simplify:
22−15=7
7=7
LHS = RHS. Thus, Option A is correct.