Write $-\frac{13}{20}$ As A Decimal Number. □ \square □

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Understanding the Problem

In this problem, we are given a fraction $-\frac{13}{20}$ and we need to convert it into a decimal number. This is a basic operation in mathematics that involves dividing the numerator by the denominator to get the decimal equivalent.

What is a Decimal Number?

A decimal number is a number that is written in the form of a point (.) followed by digits. For example, 3.5, 0.25, and 12.75 are all decimal numbers. Decimal numbers can be positive or negative, and they can have a finite or infinite number of digits after the decimal point.

Converting a Fraction to a Decimal Number

To convert a fraction to a decimal number, we need to divide the numerator by the denominator. In this case, we need to divide 13 by 20.

Step 1: Divide the Numerator by the Denominator

To divide 13 by 20, we can use long division or a calculator. Let's use long division to find the decimal equivalent.

  ____________________
20 | 13
  - 20
  ------
    -7
  - 60
  ------
     3
  - 20
  ------
     3
  - 20
  ------
     3

Step 2: Write the Decimal Equivalent

From the long division, we can see that 13 divided by 20 is equal to 0.65. Therefore, the decimal equivalent of $-\frac{13}{20}$ is -0.65.

Conclusion

In this problem, we learned how to convert a fraction to a decimal number. We used long division to divide the numerator by the denominator and found the decimal equivalent. We also learned that a decimal number can be positive or negative, and it can have a finite or infinite number of digits after the decimal point.

Examples of Converting Fractions to Decimal Numbers

Here are a few examples of converting fractions to decimal numbers: