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Adding and Subtracting Adding and Subtracting Rational Numbers Rational Numbers

(Fractions (Fractions ))

OrOr

Learning to Love Learning to Love Fractions Fractions

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Ordering and Adding and Ordering and Adding and Subtracting Rational NumbersSubtracting Rational Numbers

Fractions – that is, rational numbers – Fractions – that is, rational numbers – are all around us. We do not have to are all around us. We do not have to like fractions, but we must not fear like fractions, but we must not fear them.them.

Which would you rather have: ½ of Which would you rather have: ½ of your favorite pie, or 3/7 of it?your favorite pie, or 3/7 of it?

Kansas Math Standard 1.4.A.1; Kansas Math Standard 1.4.A.1; application based.application based.

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Words to KnowWords to Know

Rational Numbers – numbers that Rational Numbers – numbers that can be expressed as a/b, bcan be expressed as a/b, b0.0.

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5/14 _____ 25/705/14 _____ 25/70

1.1. < <

2.2. = =

3.3. > >

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Which is a better buy: a 6-Which is a better buy: a 6-ounce can of tuna for $1.59, ounce can of tuna for $1.59,

or a package of three 3-ounce or a package of three 3-ounce cans for $2.19?cans for $2.19?

1.1. 6-ounce can for $1.59. 6-ounce can for $1.59.

2.2. Three 3-ounce cans for Three 3-ounce cans for $2.19. $2.19.

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What is (7/9) – (8/9)?What is (7/9) – (8/9)?

1.1. -1/18 -1/18

2.2. 1/181/18

3.3. -1/9 -1/9

4.4. 1/9 1/9

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What is (-7/12) + (5/6)?What is (-7/12) + (5/6)?

1.1. -2/18 -2/18

2.2. -2/12 -2/12

3.3. 3/18 3/18

4.4. 1/4 1/4

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What is (-1/8) + (-5/2) ?What is (-1/8) + (-5/2) ?

1.1. 6/10 6/10

2.2. -6/10 -6/10

3.3. -21/8 -21/8

4.4. -6/8 -6/8

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-69.5 – 82.3 = ?-69.5 – 82.3 = ?

1.1. -151.8 -151.8

2.2. -12.8 -12.8

3.3. 12.8 12.8

4.4. 151.8 151.8

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4.57 + (3.69) = ?4.57 + (3.69) = ?

1.1. 8.26 8.26

2.2. 0.88 0.88

3.3. -0.88 -0.88

4.4. -8.26 -8.26

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(-2/5) + (3/15) + (3/5) = ?(-2/5) + (3/15) + (3/5) = ?

1.1. 4/20 4/20

2.2. -6/15 -6/15

3.3. -4/20 -4/20

4.4. 2/5 2/5

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Evaluate if Evaluate if aa = 5/6 = 5/62/3 - 2/3 - aa

1.1. -1/6-1/6

2.2. -7/9 -7/9

3.3. 1/6 1/6

4.4. 7/9 7/9

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Evaluate if Evaluate if aa = -2; = -2; bb = 4 = 422b - ab - a

A.A. 4 4

B.B. 8 8

C.C. 10 10

D.D. -6 -6