Grade 10 Academic (MPM2D) Unit 1: Linear System Numeracy Review

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Grade 10 Academic (MPM2D) Unit 1: Linear System Numeracy Review Mr. Choi © 2016 E. Choi – MPM2D - All Rights Reserved

Numeracy Review Integers: When Adding and Subtracting Integers: Always eliminate double signs. When Multiplying and Dividing Integers: Two Positives or two Negatives give a Positive result. One Positive and one Negative give a Negative result. The Acronym for the order is BEDMAS All calculations must be done from left to right. Do the calculations within the brackets (parenthesis). When you have more than one set of brackets, do the inner brackets first. Exponents (or radicals) must be done next. Then, do multiplications/divisions in the order they appear from left to right. Then, do additions/subtractions in the order they appear from left to right. Numeracy Review © 2016 E. Choi – MPM2D - All Rights Reserved

Example 1: Simplify Numeracy Review Double signs to single sign © 2016 E. Choi – MPM2D - All Rights Reserved

Example 1: Continued Simplify Numeracy Review © 2016 E. Choi – MPM2D - All Rights Reserved

Example 1: Continued Simplify Math operations are from left to right!! BEDMAS!! Numeracy Review © 2016 E. Choi – MPM2D - All Rights Reserved

Example 1: Continued Simplify Math operations are from left to right!! Hidden brackets for numerator and denominator when dealing with fractions BEDMAS Exponents first before multiplications! Math operations are from left to right!! Numeracy Review © 2016 E. Choi – MPM2D - All Rights Reserved

Numeracy Review Fractions When Adding and Subtracting Fractions Common denominator are NEEDED Change all mixed numbers to proper fractions Keep all negative sign (“ - ”) with the numerator Reduce final answers if possible. Numeracy Review © 2016 E. Choi – MPM2D - All Rights Reserved

Example 2: Simplify Numeracy Review © 2016 E. Choi – MPM2D - All Rights Reserved

Numeracy Review Fractions When Multiplying and Dividing Fractions Keep all negative sign (“ - ”) with the numerator Change mixed numbers to improper fractions Make sure final answer is reduced For division, multiply by the reciprocal (change sign to “X” and flip the second fraction) Numeracy Review © 2016 E. Choi – MPM2D - All Rights Reserved

Example 3: Simplify Numeracy Review Cross out method by reducing first. Numeracy Review © 2016 E. Choi – MPM2D - All Rights Reserved

Example 3: Simplify Numeracy Review © 2016 E. Choi – MPM2D - All Rights Reserved

Homework Get Ready for Analytic Geometry (All) Operations with Rational Numbers (All) Check the website for updates Numeracy Review © 2016 E. Choi – MPM2D - All Rights Reserved

End of lesson Numeracy Review © 2016 E. Choi – MPM2D - All Rights Reserved