Bellwork Solve the following: 1. -3 + 20 2. -30 - -5 3. 40 (-8) 1. -3 + 20 2. -30 - -5 3. 40 (-8) 4. 24/-12
Fractions – Review/Refresh Adding, subtracting, multiplying, and dividing fractions.
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!
Examples 1
2
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.
Examples 1 2 2 1
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.
Examples 1 2 8 5
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
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.
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.