Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
76 * 4 * 26 * 13 * 9 * 62
Option 1: –, +, ÷, ×, =
Option 2: +, ÷, ×, –, =
Option 3: +, –, ÷, ×, =
Option 4: ÷, –, +, ×, =
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Correct Answer: +, –, ÷, ×, =
Solution :
Given:
76 * 4 * 26 * 13 * 9 * 62
Replace the * sign given in the equation with the assigned signs in the options.
Let's check the options –
First option:
–, +, ÷, ×, =
⇒ 76 – 4 + 26 ÷ 13 × 9 = 62
Solving the L.H.S. of the equation –
= 76 – 4 + 2 × 9
= 76 – 4 + 18
= 90 ≠ 62
Second option:
+, ÷, ×, –, =
⇒ 76 + 4 ÷ 26 × 13 – 9 = 62
Solving the L.H.S. of the equation –
= 76 + 0.153 × 13 – 9
= 76 + 1.98 – 9
68.98 ≠ 62
Third option:
+, –, ÷, ×, =
⇒ 76 + 4 – 26 ÷ 13 × 9 = 62
Solving the L.H.S. of the equation –
= 76 + 4 – 2 × 9
= 76 + 4 – 18
= 62 = R.H.S.
Fourth option:
÷, –, +, ×, =
⇒ 76 ÷ 4 – 26 + 13 × 9 = 62
Solving the L.H.S. of the equation –
= 19 – 26 + 117
= 110 ≠ 62
So, only the third option satisfies the equation. Hence, the third option is correct.
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