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Learn how to subtract rational numbers using strategies such as using a number line, adding the opposite, converting mixed numbers to improper fractions, and using common denominators. Understand the importance of using equivalent fractions when subtracting.
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Section 3.3 Subtracting Rational Numbers Page 114 - 120
Making Connections to Integers! • When we subtract rational numbers we are finding the difference between those two number on a number line. • For example we need to look at how far we go from -6 to get to 4. • Because we move to the right on the number line the distance is positive!
Subraction of Decimals: • We can use this strategy: • We can Add the opposite of the decimal! -2.3 – (-3.9) = -2.3 – (-3.9) = = -2.3 + (+3.9) = -2.3 + 3.9 = 1.6
Subtraction of Improper Form Similar steps to adding fractions. Find the lowest common denominator. Change both fractions to equivalent fractions. Add the numerators. X 3 X 2 X 3 X 2
Subtracting with Mixed Number Form Strategy – change the Mixed Number to an IMPROPER fraction and follow from there.
Homework Time Exit Questions Page 119-121 #4, 5 all, 7bdf, 9f, 10, 11, 13cd, 15abc
The following slides are not a part of the current notes for Section 3.3
Subtracting with Mixed Number Form • Strategy ONE- is to place the number being subtracted on a number line and follow from there • Strategy TWO – is to change the Mixed Number to an IMPROPER fraction and follow from there.
Common Denominators and Equivalent Fractions • It is important to remember that when we are subtracting rational numbers to use equivalent fractions. These are numbers that have the same number of pieces. • Think ½ and 1/8 - in order to make them equivalent they both must be out of 8ths is And 1/2 is the same as 4/8 so:
