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This resource introduces the basic principles of adding decimal fractions. It explains how a decimal number is made up of a whole number and a fractional part, separated by a decimal point. Proper alignment of decimal points is crucial when adding these numbers, as it resembles adding whole numbers. The document provides practical examples, including the sum of various decimal numbers and a real-world application involving shims. Users will learn to estimate sums effectively and apply these skills to solve real-life problems involving decimal fractions.
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Unit 11 Addition of Decimal Fractions
Basic Principles • A decimal number is a number with a decimal point in it. • The decimal point separates the whole number part of the number from the fraction part. The whole number is to the left of the decimal point, the fraction is to the right of the decimal point. • Each number position of the fraction part has a name, just as each position of a whole number. (tenths, hundredths, thousandths, ten-thousandths, etc.)
Adding decimal numbers is just like adding whole numbers, with one additional concern. When writing the numbers, line up the decimal points. Find the sum of 233.45, 18.9, and 506.807. Remember: When adding decimal fractions, always make sure that the decimal points are lined u one under the other.
Estimating: The estimated answer is 720. Using a calculator, entering 233.45 + 18.9 + 506.807 = gives 759.157, which is close to 720
Three shims are being used to align a compressor and motor. The thickness of the shims are 0.43 inches, 0.28 inches, and 0.03 inches. What size single shim can replace the three? Even though the problem has small numbers, we round them off to one numeral each.
