Question : Directions: Select the correct combination of mathematical signs to replace the * signs and balance the given equation. 5 * 15 * 320 * 2 * 45 = 190
Option 1: +, ÷, ×, −
Option 2: ×, +, ÷, −
Option 3: +, ×, ÷, −
Option 4: ×, ÷, −, +
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Correct Answer: ×, +, ÷, −
Solution : Given: 5 * 15 * 320 * 2 * 45 = 190
Let's check the options – First option: +, ÷, ×, − ⇒ 5 + 15 ÷ 320 × 2 − 45 = 190 Solving the L.H.S. of the given equation – = 5 + 15 ÷ 320 × 2 − 45 = 5 + 0.0468 × 2 − 45 = 5 + 0.0936 − 45 = −39.9064 ≠ 190 Second option: ×, +, ÷, − ⇒ 5 × 15 + 320 ÷ 2 − 45 = 190 Solving the L.H.S. of the given equation – = 5 × 15 + 320 ÷ 2 − 45 = 5 × 15 + 160 − 45 = 75 + 160 − 45 = 190 Third option: +, ×, ÷, − ⇒ 5 + 15 × 320 ÷ 2 − 45 = 190 Solving the L.H.S. of the given equation – = 5 + 15 × 320 ÷ 2 − 45 = 5 + 15 × 160 − 45 = 5 + 2400 − 45 = 2360 ≠ 190 Fourth option: ×, ÷, −, + ⇒ 5 × 15 ÷ 320 − 2 + 45 = 190 Solving the L.H.S. of the given equation – = 5 × 15 ÷ 320 − 2 + 45 = 5 × 0.0468 − 2 + 45 = 0.234 − 2 + 45 = 43.234 ≠ 190
So, only the second option satisfies the given equation. Hence, the second option is correct.
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