Question

What is “three tenths” in decimal form?

Answer 1

Hint: To solve the given question, we first have to convert the given phrase into fraction form. Then, we will divide the numerator of the fraction by the denominator to get the decimal form. Now, the expressions like “a tenths” where a is any integer are converted in fraction form as $${\displaystyle \frac{a}{10}}$$. That is a fraction with numerator a and denominator as 10. For the given expression, we can see the value of a is used as three.

Complete step by step solution:
For solving the given question, we need to know how to convert verbal expressions of the form “a tenths” are written in fraction form. This expression in fraction form is written as $${\displaystyle \frac{a}{10}}$$. For the given question, we can see that the value of a is three. Thus, substituting the value of a we get the fraction form of “three tenths” as $${\displaystyle \frac{3}{10}}$$.
Now that we have the fraction form we can easily find the decimal form by dividing the numerator by the denominator. Thus, we get the decimal form as $$3÷10=0.3$$. Hence, the decimal form of three tenths is 0.3.

Note: Same as three tenths, we may also need to calculate decimal form of three hundredths. This problem is the same as the one we just solved with the only difference in the denominator of the fraction. For this, we will take the denominator as 100.
Thus, by doing this we get $${\displaystyle \frac{3}{100}}$$, the decimal form of this fraction is 0.03.