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Chapter 4 - Decimals

Chapter 4 - Decimals - Chapter 4 Decimals Chapter Sections...

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Chapter 4 Decimals

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Martin-Gay, Basic College Mathematics with Early Integers 2 4.1 – Introduction to Decimals 4.2 – Adding and Subtracting Decimals 4.3 – Multiplying Decimals and Circumference of a Circle 4.4 – Dividing Decimals 4.5 – Fractions, Decimals, and Order of Operations Chapter Sections
§ 4.1 Introduction to Decimals

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Martin-Gay, Basic College Mathematics with Early Integers 4 Decimal Notation and Writing Decimals in Words Definition Example Decimal Numbers : Numbers written in decimal notation. 3 2 . 6 1 Whole number part Decimal part Decimal point
Martin-Gay, Basic College Mathematics with Early Integers 5 Decimal Notation and Writing Decimals in Words EXAMPLE EXAMPLE SOLUTION SOLUTION Write 47.65 in words. Forty-seven 4 7 . 6 5 and sixty-five hundredths. 100 65 65 . =

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Martin-Gay, Basic College Mathematics with Early Integers 6 Writing Decimals in Standard Form EXAMPLE EXAMPLE SOLUTION SOLUTION twelve Write twelve and six hundredths in standard form. . 1 2 . 0 6 and six hundredths
Martin-Gay, Basic College Mathematics with Early Integers 7 Writing Decimals as Fractions Decimal In Words Fraction 0.5 five tenths 0.36 thirty-six hundredths 0.002 two thousandths 0.07 seven hundredths 10 5 100 36 1000 2 100 7

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Martin-Gay, Basic College Mathematics with Early Integers 8 Writing Fractions as Decimals EXAMPLE EXAMPLE SOLUTION SOLUTION Write as a decimal. ( Hint: When the denominator is a power of 10, we can write it by reversing the procedure used in Slide 7. ) 100 45 = 100 45 45 .
Martin-Gay, Basic College Mathematics with Early Integers 9 Comparing Decimals EXAMPLE EXAMPLE SOLUTION SOLUTION Insert <, >, or = to form a true statement. Comparing Two Positive Decimals Compare digits in the same places from left to right. When two digits are not equal, the number with the larger digit is the larger decimal. If necessary, insert 0s after the last digit to the right of the decimal point to continue comparing. 1.253 1.232 1.253 1.232 The tenths places are the same. Since 5 > 3, then 1.253 > 1.232.

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Martin-Gay, Basic College Mathematics with Early Integers 10 Rounding Decimals Step Example Step 1 : Locate the digit to the right of the given place value. Step 2 : If this digit is 5 or greater, add 1 to the digit in the given place value and drop all digits to its right. If this digit is less than 5, drop all digits to the right of the given place. Round 4.3456 to the nearest tenth.
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