Converting Rational Numbers to Decimals

This lesson explains rational numbers as fractions and demonstrates converting them to decimals using long division. It emphasizes that the sign of a fraction is retained in its decimal form. An example of converting -5/8 to a decimal is provided, illustrating the process and confirming the negative sign in the result. The lesson concludes with a recap of the conversion process.

What is a rational number?

• A number that can be written as a fraction with a non-zero denominator

• A number that cannot be expressed as a fraction

• A number that is always positive

• A number that is always negative

What is the first step in converting a fraction to a decimal?

• Multiply the numerator by the denominator

• Subtract the denominator from the numerator

• Add the numerator and the denominator

• Divide the numerator by the denominator

When converting a negative fraction to a decimal, what happens to the sign?

• The sign remains negative

• The sign is ignored

• The sign becomes positive

• The sign alternates between positive and negative

In the example of converting -5/8 to a decimal, what is the decimal equivalent?

• -0.58

• 0.625

• -0.625

• 0.58

Why is it important to retain the sign of the fraction when converting to a decimal?

• Because it changes the fraction to a whole number

• Because it makes the calculation easier

• Because it affects the position on the number line

• Because it simplifies the fraction