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Chapter 3 Decimals Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. 3.2 Comparing, Ordering, and Rounding Decimals Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Comparing Decimals Comparing Two Numbers in Decimal Notation 1. 2. Start at the left and compare corresponding digits. If the digits are the same, move one place to the right. When two digits are different, the large number is the one with the larger digit. The numbers in the tenths place are both 3. The numbers in the hundredths place are different. 1.345 1.353 Since 4 < 5, we know that 1.345 < 1.353. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Ordering Decimals Example: Place the following four decimals in order from smallest to largest. 786.848 786.8 00 786.48 0 Add zeros to make the comparison easier. 786.484 Rearrange with the smallest first. 786.48, 786.484, 786.8, 786.848 Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Rounding Decimals Rounding Decimals 1. 2. 3. Find the decimal place (units, tenths, hundredths, and so on) for which rounding is required. If the first digit to the right of the given place value is less than 5, drop it and all digits to the right of it. If the first digit to the right of the given place value is 5 or greater, increase the number in the given place value by one. Drop all digits to the right of this place. 346.74 8 Round the 4 up to 5. 346.74 2 hundredths place Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Do not round the 4 up. hundredths place Rounding Decimals Example: 1. Round 198.438 to the nearest tenth. 198.438 198.4 2. Round 45.29502 to the nearest hundredth. 45.29502 45.30 = 45.3 Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc.