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You surely remember number 49 for being a perfect square: $$49\;=\;7^2$$.  In fact, it is a particular one, because its digits are also perfect squares: $$4\;=\;2^2\;\;and\;9\;=\;3^2$$. Another property of 49 is that it is a composite number, as we will study next. We will start recalling some definitions that we have widely discussed in our […]

Apostrophes are small punctuation marks that can lead to some big problems if you place them incorrectly. According to Merriam-Webster, the role of the apostrophe has changed over time. To make matters more complicated, learning to use apostrophes can be confusing and tricky. For this reason, we are here to help you understand how you […]

5/12 as a decimal is 0.416 Want to practice? Solution The fraction $$\frac5{12}$$ can be written as $$5\div12$$ . Carry out the division using the long division method with 5 as the dividend and 12 as the divisor. As 12 > 5, the division cannot be carried out. Hence place a decimal point in the […]

5/11 as a decimal is 0.45 Want to practice? All the fractions can be written in a decimal form by just dividing the numerator by the denominator. The answer resulting from the division is the decimal form of the fraction. Solution Let us do the long division for the fraction $$\frac5{11}$$ to get the decimal […]

8/11 as a decimal is 0.727272… Want to practice? Long Devision Method The long division method is used to find the decimal form of a fraction.In this method, the numerator is the dividend and the denominator is the divisor. The long division method includes dividing by placing the decimal point in the answer. The division […]

7/9 as a decimal is 0.777… Want to practice? Solution The following are the steps required to do the division of the numbers 7 divided by 9: The fraction $$\frac79$$ is written as $$7\div9$$.Use the long division method to divide 7 by 9.Add 0 to the dividend by placing a decimal point in the quotient.Repeat […]

11/16 as a decimal is 0.6875 Want to practice? Decimal division All the divisions do not give a whole number as an answer. Hence when we divide one number by another number, sometimes we arrive at a whole number other than 0 as the remainder. Decimal divisions are such divisions where we do not stop […]

3/10 as a decimal is 0.3 Want to practice? The decimal form of fractions with denominator 1 followed by zeros: The number of zeros in the denominator of a fraction is the number of decimal points to be shifted to the left in the numerator. Example: $$\frac{\mathbf7}{\mathbf{10}}\boldsymbol=\mathbf0\boldsymbol.\mathbf7$$ The denominator 10 has one zero. The decimal […]