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Comparing and Ordering Integers Terminating and Repeating Decimals

Comparing and Ordering Integers Terminating and Repeating Decimals. 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.

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Comparing and Ordering Integers Terminating and Repeating Decimals

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  1. Comparing and Ordering IntegersTerminating and Repeating Decimals

  2. 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 apositiveand negative number the positive will always be greater. ex) -2 < 5

  3. 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

  4. 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

  5. Vocabulary Words: • Rational Number: a number that can be written as a fraction. ex) 29/4, ¾ , 13/20 • 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…..

  6. Bar notation: a bar placed over the digits that repeat ex) 0.545454……..0.54 0.583333……..0.583

  7. Terminating and Repeating Decimals 0.6 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.

  8. 0.4166 Repeating decimals: 5/12 • Divide the denominator into the numerator add a decimal in the dividend with a couple of zeros ex) 12 5.000 • 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

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