Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 23 * 2 * 2 * 5 * 18
Option 1: –, ÷, ×, =
Option 2: –, ÷, +, =
Option 3: –, ÷, =, +
Option 4: –, ×, ÷, =
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Correct Answer: –, ÷, ×, =
Solution : Given: 23 * 2 * 2 * 5 * 18
Replace * with the mathematical signs and solve the equations one by one. Let's check the given options – First option: –, ÷, ×, = 23 – 2 ÷ 2 × 5 = 18 Solving the L.H.S of the equation – = 23 – 2 ÷ 2 × 5 = 23 – 1 × 5 = 23 – 5 = 18 L.H.S. = R.H.S. Second option: –, ÷, +, = 23 – 2 ÷ 2 + 5 = 18 Solving the L.H.S of the equation – = 23 – 2 ÷ 2 + 5 = 23 – 1 + 5 = 28 – 1 = 27 LHS ≠ RHS Third option: –, ÷, =, + 23 – 2 ÷ 2 = 5 + 18 Solving the L.H.S of the equation – = 23 – 2 ÷ 2 = 23 – 1 = 22 Solving the R.H.S of the equation – = 5 + 18 = 23 LHS ≠ RHS Fourth option: –, ×, ÷, = 23 – 2 × 2 ÷ 5 = 18 Solving the L.H.S of the equation – = 23 – 2 × 2 ÷ 5 = 23 – 2 × 0.4 = 23 – 0.8 = 22.2 LHS ≠ RHS
So, only the first option satisfies the given equation. Hence, the first option is correct.
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