Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
83 16 4 57 3
- A=, ÷, +, -
- B-, ×, =, ÷
- C-, +, =, -
- D-, ÷, =, +
Solution & Step-by-step Explanation
Let's check each option by substituting the signs into the expression sequentially:
Checking Option D (-, ÷, =, +):
83−16÷4=57+3
According to BODMAS rules, perform division first:
16÷4=4
Now substitute back into the equation:
83−4=57+3
79=60(False)
Checking Option B (-, ×, =, ÷):
83−16×4=57÷3
According to BODMAS rule:
Left-Hand Side (LHS):
16×4=64
83−64=19
Right-Hand Side (RHS):
57÷3=19
Since LHS=RHS=19, this combination perfectly balances the equation.
Checking Option D (-, ÷, =, +):
83−16÷4=57+3
According to BODMAS rules, perform division first:
16÷4=4
Now substitute back into the equation:
83−4=57+3
79=60(False)
Checking Option B (-, ×, =, ÷):
83−16×4=57÷3
According to BODMAS rule:
Left-Hand Side (LHS):
16×4=64
83−64=19
Right-Hand Side (RHS):
57÷3=19
Since LHS=RHS=19, this combination perfectly balances the equation.