Exponents and Order of Operations Do you know the chick named sally??? Lesson 1-2 Exponents and Order of Operations Do you know the chick named sally???
Lesson 1-2 Exponents and Order of Operations Vocabulary To Simplify a numerical expression, you replace it with its simplest name. EXAMPLE: 2 * 8 + 2 * 3 2(8+3) An exponent tells how many times a number, the base, is used as a factor. A power has two parts, a base and an exponent. EXAMPLE: 23 Which is the base? Which is the exponent?
Please Excuse my dear aunt sally A and S – Add and Subtract Order of Operations Please Excuse my dear aunt sally P – parentheses E – exponents M – Multiply D – Division A and S – Add and Subtract
I prefer this ….. Order of Operations Please End my day at school P – parentheses E – exponents M – Multiply D – Division A and S – Add and Subtract
Order of Operations Rule 1: Simplify all operations inside parentheses. Rule 2: Simplify all exponents, working from left to right. Rule 3: Perform all multiplications and divisions, working from left to right. Rule 4: Perform all additions and subtractions, working from left to right.
Simplifying a Numerical Expression Problem: Evaluate this numerical expression 18 + 36 ÷ 32 P – Parentheses…No. E – Exponents…Yes. 3 * 3 = 9 18 + 36 ÷ 9 M/D – Multi/Divide…Yes. 18 + 4 A/S – Add/Subtract…Yes. Answer 22
Evaluating an Algebraic Expression You evaluate an algebraic expression by substituting a given number for each variable. Then simplify the numerical expression using the order of operations.
Evaluating an Algebraic Expression Evaluate for v = 10 and w = 9. v + 4w ÷ 6 10 + 4 (9) ÷ 6 10 + 36 ÷ 6 10 + 6 16 Evaluate for a = 7 and b = 3. 36 – a2 + ab 36 – 7 * 7 + 7 * 3 36 – 49 + 21 -13 + 21 8
Simplifying an Expression with Parentheses Evaluate 8 + (2 x 5) x 34 ÷ 9 8 + (10) x 34 ÷ 9 8 + 10 x 81 ÷ 9 8 + 810 ÷ 9 8 + 90 98 Did you get that answer?
Simplifying an Expression Example: Simplify 3(5 + 2) – 4(7 – 2) 3(7) – 4(5) 21 – 20 1
EXAMPLE Simplify 4 + [–1(–2 – 1)]2 4 + [-1(-3)] 2 4 + [3] 2 4 + 3 * 3 4 + 9 13