Decimal Numbers Quiz Set 007

Numerator is divided by 100, and denominator multiplied by 10, so the answer should get divided by 1000.

The given expression is same as $9.102 + 0.5 + 0.04 + 0.02$, then by simple addition we get $9.102 + 0.5 + 0.04 + 0.02 = 9.662$.

We know that if a number is less than 1, then it becomes smaller and smaller as it is raised to higher and higher positive powers. Now, $1/0.35$ is same as $0.35^{-1}$. The three powers of 0.35 given to us are -1, 1, 2 and 3. Out of these 3 is the most positive, so, $0.35^3$ is the smallest.

Comparing the given expression with $a^2 - 2 × a ×b + b^2 = (a - b)^2$, we see that if a = 6.73, and b = 0.2 then by inspection, x should be equal to 2b = 2 × 0.2 = 0.4.

The expression becomes $x = {55/55} × {100/1000}$ = 0.1.