Year Seven Math Worksheet for Kids – Converting Rational Numbers to Decimals Using Long Division

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Rational numbers are numbers that can be expressed as a fraction of two integers. They can be positive, negative, or zero. Converting a rational number to a decimal form can be a handy way to work with it in mathematical operations. One way to do this conversion is to use long division. In this article, we will go over the steps of converting rational numbers to decimals using long division, and why this method is useful.

Step 1: Write the rational number as a fraction The first step in converting a rational number to a decimal form is to write the number as a fraction. This means writing the numerator (the top part of the fraction) and the denominator (the bottom part of the fraction). For example, the rational number 0.25 can be written as the fraction 25/100.

Step 2: Divide the numerator by the denominator The next step is to divide the numerator by the denominator using long division. To do this, place the numerator (25 in our example) above a line, and the denominator (100) below the line. Then, divide 25 by 100 as you would in a normal division problem. Write down the result and the remainder if there is one.

Step 3: Repeat the process until the result becomes repeating or 0 If there is a remainder, bring it down and divide it by the denominator again. Repeat this process until the result becomes repeating or 0. If the result is repeating, put a bar over the repeating digits.

Step 4: Write down the final result Write down the final result as a decimal form. In the case of 0.25, the final result would be 0.25.

 

Why use long division to convert rational numbers to decimals?

Long division is a useful method to convert rational numbers to decimals because it gives us a way to determine if the decimal form of a number is repeating or terminating. If the result of the division becomes repeating, we know that the decimal form of the rational number is repeating. If the result becomes 0, we know that the decimal form of the rational number is terminating.

In conclusion, converting rational numbers to decimals using long division is a simple and effective way to work with rational numbers in mathematical operations. By following the steps outlined in this article, kids can learn how to convert rational numbers to decimals and understand why this method is useful. With practice, they will be able to easily convert rational numbers to decimals and use them in more advanced mathematical operations.

Year Seven Math Worksheet for Kids – Converting Rational Numbers to Decimals Using Long Division

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