Chapter 1 / Whole Numbers and Introduction to Algebra Decimal Notation Chapter 1 / Whole Numbers and Introduction to Algebra Like fractional notation, decimal notation is used to denote a part of a whole. Numbers written in decimal notation are called decimal numbers, or simply decimals. The decimal 16.734 has three parts. 16.743 Whole number part Decimal part Decimal point

Place Value 1 Notice that the value of each place is 10 of the value of the place to its left.

Place Value The position of each digit in a number determines its place value. hundred-thousandths hundreds tens tenths hundredths thousandths ten-thousandths ones 1 6 7 3 4 1 10 1 1000 1 100,000 Place Value 100 10 1 1 100 1 10,000 decimal point

Place Value 16.734 The digit 3 is in the hundredths place, so its value is 3 hundredths or . 3 100

Writing a Decimal in Words Chapter 1 / Whole Numbers and Introduction to Algebra Step 1: Write the whole number part in words. Step 2: Write “and” for the decimal point. Step 3: Write the decimal part in words as though it were a whole number, followed by the place value of the last digit.

Writing a Decimal in Words Write the decimal 143.056 in words. 143.056 whole number part decimal part one hundred forty-three and fifty-six thousandths

Writing Decimals in Standard Form A decimal written in words can be written in standard form by reversing the procedure. Write one hundred six and five hundredths in standard form. one hundred six and five hundredths whole-number part decimal decimal part 5 must be in the hundredths place 106 . 05

Helpful Hint When writing a decimal from words to decimal notation, make sure the last digit is in the correct place by inserting 0s after the decimal point if necessary. For example, three and fifty-four thousandths is 3.054 thousandths place