Problem (Page 88). In a group of nine coins, eight weigh the same ...

More documents

Recommendations

Info

Example.Theorem.3.3. ORDERING AND EXPONENTS 49(4 2 ) 3 = 4 2 · 4 2 · 4 2 = 4 6Let a, m, and n be any whole numbers where m and n are nonzero. ThenThusExample.Theorem.(a m ) n = a mn .6 8 ÷ 6 3 = 6 5 since 6 3 · 6 5 = 6 8 .6 8 ÷ 6 3 = 6 8 3 .Let a, m, and n be any whole numbers where m > n and a, m, and n arenonzero. Thena m ÷ a n = a m n .0 as an exponentFor a 6= 0, consider the pattern:a 3 = a · a · aDivide each side by a.a 2 = a · aDivide each side by a.a 1 = aDivide each side by a.a 0 = 1Definition. a 0 = 1 for all whole numbers a 6= 0.
50 3. WHOLE NUMBERS: OPERATIONS AND PROPERTIESConsider the two following patterns:Pattern 1: 3 0 = 1, 2 0 = 1, 1 0 = 1, 0 0 = ?Pattern 2: 0 3 = 0, 0 2 = 0, 0 1 = 0, 0 0 = ?Each pattern suggests a di↵erent answer to 0 0 , so:Note. 0 0 is not defined.Order of Operations – an agreementExample.11 2 2 ÷ 2 · 5 + (7 (6 2)) =(1) Parentheses (from inside out)11 2 2 ÷ 2 · 5 + (7 4) =11 2 2 ÷ 2 · 5 + 3 =(2) Exponents in order from left to right11 4 ÷ 2 · 5 + 3 =(3) Multiplications and divisions in order from left to right11 2 · 5 + 3 =11 10 + 3 =(4) Additions and subtractions in order fro left to rightNote.1 + 3 =(1) “Please Excuse My Dear Aunt Sally” is a useful pneunomic.(2) Most calculators (including those used at CBU) follow these rules.4
Page 1 and 2: CHAPTER 3Whole Numbers: Operations
Page 3 and 4: 30 3. WHOLE NUMBERS: OPERATIONS AND
Page 21: 48 3. WHOLE NUMBERS: OPERATIONS AND

Problem (Page 88). In a group of nine coins, eight weigh the same ...

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?