Fractions and Decimals Chapter 3 Section 1. Rational Numbers  Terminating Decimal – a decimal that ends.  Repeating Decimal – a decimal that has a digit.

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Presentation transcript:

Fractions and Decimals Chapter 3 Section 1

Rational Numbers  Terminating Decimal – a decimal that ends.  Repeating Decimal – a decimal that has a digit or group of digits that repeats without end.  Counting Numbers : 1, 2, 3, 4, 5, 6 …  Whole Numbers : 0, 1, 2, 3, 4, 5, 6 …  Integers : … -3, -2, -1, 0, 1, 2, 3, …

Vocabulary Whole #’s Integers Rational Numbers

Review: Write Fractions as Decimals  Our decimal system is based on powers of 10 such as 10, 100, and 1,000.  If the denominator of a fraction is a power of 10, you can use place value to write the fraction as a decimal  Complete the table below: WordsFractionDecimal Seven tenths7/100.7 Nineteen hundredths One-hundred five thousandths

Examples:  Write each fraction or mixed number as a decimal:  1. 3/10  2. 3/25  and ½

Compare Fractions and Decimals  It may be easier to compare numbers when they are written as decimals  Example: Replace each blank with, or = to make a true sentence  A. ¼ 0.2

Guided Practice pg. 125  4A. 7/  4B. -7/15 -5/12