5.1 Reading and Writing Decimal Numbers Chapter 5 Rational Numbers: Positive and Negative Decimals

5.1 Reading and Writing Decimal Numbers Objectives Write parts of a whole using decimals. Identify the place value of a digit. Read decimal numbers. Write decimals as fractions or mixed numbers. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Write parts of a whole using decimals. Decimals are used when a whole is divided into 10 equivalent parts or into 100 or 1000 or 10,000 equivalent parts. In other words, decimals are fractions with denominators that are a power of 10. The dot in 0.1 is called the decimal point. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 4

Objective 1: Write parts of a whole using decimals. Example Below several numbers are written as fractions, decimals, and in words. Fraction Decimal Read As 0.4 four tenths – 0.09 negative nine hundredths 0.008 eight thousandths eight hundred thirty-two thousandths 0.832 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 5

Objective 2: Identify the place value of a digit. A decimal point separates the whole number part from the fractional part. The place value names for fractional parts are similar to those on the whole number side but end in “ths”. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 6

Objective 2: Identify the place value of a digit. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 7

Objective 2: Identify the place value of a digit. Example Identify the place value of each digit of 178.36 and 0.00935. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 8

Objective 3: Read decimal numbers. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 9

Objective 3: Read decimal numbers. Example Read the decimal 16.9. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 10

Objective 3: Read decimal numbers. Example Read the decimal 482.35. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 11

Objective 3: Read decimal numbers. Example Read the decimal 0.063. 0.063 sixty-three thousandths (No whole number part.) Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 12

Objective 4: Write decimals as fractions or mixed numbers. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 13

Objective 4: Write decimals as fractions or mixed numbers. Example Write 0.19 as a fraction or mixed number. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 14

Objective 4: Write decimals as fractions or mixed numbers. Example Write 4.0099 as a fraction or mixed number. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 15

Objective 4: Write decimals as fractions or mixed numbers. Example Write 0.75 as a fraction or mixed number in lowest terms. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 16

Objective 4: Write decimals as fractions or mixed numbers. Example Write 18.105 as a fraction or mixed number in lowest terms. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.1 - 17