Real Numbers & Converting Between Decimals and Fractions Review

How would you change a fraction to a decimal?

• The numerator of the fraction goes in front of the decimal, the denominator goes behind the decimal.

• You cannot change a decimal to a fraction.

• You divide the numerator by the denominator.

• You place all the numbers in the fraction behind the decimal point.

Rational numbers include repeating and terminating decimals.

• True

• False

Whole Number and Natural Numbers are the same except the set of Whole Numbers includes _________.

All integers are also rational numbers.

• True

• False

Numbers that are decimals that never end and never repeat are called ____________. (Remember, spelling matters)

Use your guided notes to convert 0.7̅ to a fraction. Select the correct answer below.

• ⁷/₁₀

• ⁷/₉

• ⁷/₁₀₀

• ¹/₂

What number sets does the following real number belong to? Check all that apply.

-8

• Rational

• Irrational

• Integer

• Whole

• Natural

To convert 0.25 to a fraction, you would rewrite it with 25 as the numerator and ________ as the denominator.

• 1

• 10

• 100

• 1000

Use your notes and convert 0.25 to a fraction in simplest form.

• ²⁵/₁₀₀

• ¹/₄

• ⁵/₁₀

• ¹/₄₀

What number sets does the following real number belong to? Check all that apply.

13

• Rational

• Irrational

• Integer

• Whole

• Natural