Select the correct combination of mathematical signs to sequentially replace the signs and to balance the given equation.
45 * 9 * 3 * 7 * 5 * 133
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. ×, ÷, -, +, =
The given equation is:
45 * 9 * 3 * 7 * 5 * 133
To balance the equation, by checking the options one by one,
1. -, +, ×, ÷, =
45 - 9 + 3 × 7 ÷ 5 = 133
⇒ 45 - 9 + 3 × 1.4 = 133
⇒ 45 - 9 + 4.2 = 133
⇒ 49.2 - 9 = 133
⇒ 40.2 = 133
40.2 is not equal to 133.
2. -, ÷, +, ×, =
45 - 9 ÷ 3 + 7 × 5 = 133
⇒ 45 - 9 ÷ 3 + 7 × 5 = 133
⇒ 45 - 3 + 35 = 133
⇒ 80 - 3 = 133
⇒ 77 = 133
77 is not equal to 133.
3. ×, ÷, -, +, =
45 × 9 ÷ 3 - 7 + 5 = 133
⇒ 45 × 9 ÷ 3 - 7 + 5 = 133
⇒ 45 × 3 - 7 + 5 = 133
⇒ 135 - 7 + 5 = 133
⇒ 140 - 7 = 133
⇒ 133 = 133
133 is equal to 133.
Hence, 133 is the correct answer.