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Comparing and Ordering Integers Terminating and Repeating Decimals
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Comparing Integers To compare integers, you can compare the signs as well as the size of the numbers. Greater numbers are graphed farther to the right. When you have a positive and negative number the positive will always be greater. ex) -2 < 5
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When comparing positive and positive which ever number is larger is the greater number. ex) 18 > 5 When comparing negative and negative which ever number is smaller is the greater number ex) -12 < -9
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Order Integers You can use a number line to order a set of integers. Integers can be ordered from least to greatest or from greatest to least Draw a number line and plot the points and pick them off for greatest to least or least to greatest
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Vocabulary Words: 1.Rational Number: a number that can be written as a fraction. ex) 29/4, ¾, 13/20 2.Terminating Decimals: a fraction when divided zero’s out. ex) ¾ = 0.75 3. Repeating Decimals: a fraction when divide has a repeating digit that is not zero ex) 1/3 = 0.33333…..
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4.Bar notation: a bar placed over the digits that repeat ex) 0.545454……..0.54 0.583333……..0.583
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Terminating and Repeating Decimals Terminating Decimals: 3/5 Step 1: Divide the denominator into numerator 5 3.0 Step 2: Work out 5 3.0 Step3: If the number ends in the quotient with no remainders then it is a terminating decimal. 0.6
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Repeating decimals: 5/12 1.Divide the denominator into the numerator add a decimal in the dividend with a couple of zeros ex) 12 5.000 2.Work out the problem ex) 12 5.000 3. If the number does not ends in the quotient, and a number is repeating you will put a bar notation over the number that repeats and that is called a repeating decimal. ex) 0041666……..= 0.416 0.4166
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