Question

How‌ ‌do‌ ‌you‌ ‌write‌ ‌1.1‌ ‌as‌ ‌a‌ ‌percentage?‌ ‌

Answer 1

Hint: In this problem, we have to find the percentage for the given decimal. We can first multiply 100 in both the numerator and the denominator. We can then multiply the numerators, the decimal number and the hundred. We can multiply by moving the decimal points to the left. We can then get a number which will be divided by 100. We know that percent means per hundred. Thus, we can find the answer.

Complete step-by-step solution:
We know that the given decimal to be converted into its percent is 1.1.
We can now write it as,
$$\Rightarrow {\displaystyle \frac{1.1}{1}}$$
We can now multiply 100 to both numerator and the denominator, we get
$$\Rightarrow {\displaystyle \frac{1.1}{1}}\times {\displaystyle \frac{100}{100}}$$
We know that, we can multiply the numerator, by moving the decimal one point to the left, we get
$$\Rightarrow {\displaystyle \frac{110.0}{100}}={\displaystyle \frac{110}{100}}$$
We also know that percentage means per hundred, we can see that the above step has a per hundred value.
Therefore, the percent of the given decimal 1.1 is $$110\mathrm{\%}$$.

Note: Students make mistakes while moving the decimal points. We should remember that when we multiply a decimal number to a number, we should also know that a decimal can be converted into its percent by multiplying 10 to the decimal.
We can now assume x for the percent value.
$$\Rightarrow {\displaystyle \frac{1.1}{1}}={\displaystyle \frac{x}{100}}$$
We can now multiply 100 on both sides, we get
$$\Rightarrow 110\mathrm{\%}=x$$
Therefore, the percent of the given decimal 1.1 is $$110\mathrm{\%}$$.