Rational Numbers and Decimals

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Rational Numbers and Decimals

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Presentation transcript:

Rational Numbers and Decimals Objectives: Identify number sets. Write decimals as fractions. Write fractions as decimals.

Rational Numbers Natural Numbers - Natural counting numbers. 1, 2, 3, 4 … Whole Numbers - Natural counting numbers and zero. 0, 1, 2, 3 … Integers - Whole numbers and their opposites. … -3, -2, -1, 0, 1, 2, 3 … Rational Numbers - Integers, fractions, and decimals. Ex:

Venn Diagram: Naturals, Wholes, Integers, Rationals

Name all the sets of numbers to which the given number belongs. Circle the most specific set. Integers , Rationals Rationals Naturals , Wholes , Integers , Rationals Wholes , Integers , Rationals Rationals

Decimal to Fraction To change a decimal to a fraction, take the place value and reduce! 0.5 means 5 tenths, so 5/10. Now reduce 5/10 = ½ 0.5 = 1/2

Converting Fractions and Decimals To change a fraction to a decimal, take the top divided by the bottom, or numerator divided by the denominator.

Complete the table. Fraction Decimal

Repeating Decimals Fraction Decimal Every rational number (fraction) either terminates or repeats when written as a decimal.

Repeating Decimals Fraction Decimal

Repeating Decimals Fraction Decimal