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Bellwork Solve the following: 1. -3 + 20 2. -30 - -5 3. 40 (-8)
(-8) 4. 24/-12
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Fractions – Review/Refresh
Adding, subtracting, multiplying, and dividing fractions.
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Add & Subtract Fractions
Find the common denominator (bottom number). Make equivalent fractions using the new common denominator. Add/sub the numerators. Denominator stays the same. Simplify/reduce. Leave improper fractions as is. Hooray!
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Examples 1
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Multiply Fractions & Mixed #s
Change any mixed #s into improper fractions. Multiply numerators. Multiply denominators. Simplify. (You can also simplify before you multiply.) Leave improper fractions as is.
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Examples 1 2 2 1
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Divide Fractions & Mixed #s
Change any mixed #s into improper fractions. Find the reciprocal of the 2nd fraction (the divisor), rewriting the problem as a multiplication problem. Multiply. Simplify. (You can also simplify before you multiply.) Leave improper fractions as is.
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Examples 1 2 8 5
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Now in your Know It Notes:
Reciprocal: numerator and denominator change place (fraction flipped over) Multiplicative inverse: a number and its reciprocal are called multiplicative inverses A number times its reciprocal = 1
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Integer Rules Positive # • Positive # = Positive #
Negative # • Negative # = Positive # (Same signs = positive answer) Positive # • Negative # = Negative # Negative # • Positive # = Negative # (Opposite signs = neg answer) Same rules for division.
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Important Stuff about Zero
Zero times a number = zero Zero divided by a number = zero A number divided by zero = undefined How could you make zero groups of something? It is not possible, so we get “undefined” instead.
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