Question : Directions: Choose the correct sequence of signs for balancing the following equation.
20 _ 4 _ 6 _ 5 _ 35
Option 1: ÷, ×, –, =
Option 2: ×, ÷, +, =
Option 3: ÷, ×, +, =
Option 4: +, ×, ÷, =
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Correct Answer: ÷, ×, +, =
Solution :
Given:
20 _ 4 _ 6 _ 5 _ 35
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷, ×, –, =
20 ÷ 4 × 6 – 5 = 35
On solving the L.H.S. of the given equation –
= 5 × 6 – 5
= 30 – 5
= 25 ≠ 35
Second option:
×, ÷, +, =
20 × 4 ÷ 6 + 5 = 35
On solving the L.H.S. of the given equation –
= 20 × 0.67 + 5
= 13.4 + 5
= 18.4 ≠ 35
Third option:
÷, ×, +, =
20 ÷ 4 × 6 + 5 = 35
On solving the L.H.S. of the given equation –
= 5 × 6 + 5
= 30 + 5
= 35
Fourth option:
+, ×, ÷, =
20 + 4 × 6 ÷ 5 = 35
On solving the L.H.S. of the given equation –
= 20 + 4 × 1.2
= 20 + 4.8
= 24.8 ≠ 35
So, the third option satisfies the given equation. Hence, the third option is correct.
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