Download presentation

Presentation is loading. Please wait.

Published byAlivia Farrar Modified over 2 years ago

2
2-5: Properties of Numbers For every real number a, b, and c PropertyAdditionMultiplicationMeaning Commutativea + b = b + aab = baOrder doesn’t matter Associative(a + b) + c = a + (b + c) (ab)c = a(bc)Grouping doesn’t matter Identitya + 0 = a 0 + a = a a 1 = a 1 a = a + 0 or 1 produces the original number Inversea + (-a) = 0Reciprocals cancel out SymmetricIf a = b, then b = aEach side of an = sign can be swapped

3
2-5: Properties of Numbers Example 1: Identifying Properties Name the property that each question illustrates. Explain 9 + 7 = 7 + 9 Commutative Property of Addition, because the order of addition changed (d ● 4) ● 3 = d ● (4 ● 3) Associative Property of Multiplication, because the grouping of multiplication changed t + 0 = t Identity Property of Addition, because the sum of any number and zero is the number

4
Y OUR T URN Name the property that each question illustrates. Be prepared to explain 1m = m Identity Property of Multiplication (-3 + 4) + 5 = -3 + (4 + 5) Associative Property of Addition np = pn Commutative Property of Multiplication p + q = q + p Commutative Property of Addition

5
You can use the properties of real numbers to reorder sums or products so you can calculate more easily. Example 2 Find the sum of 0.85 + 2.50 + 5.15 0.85 + 2.50 + 5.15 2.50 + 5.15 + 0.85Commutative Property 2.50 + (5.15 + 0.85)Associative Property 2.50 + (6)Calculate Parenthesis 8.50Simplify

6
2-5: Properties of Numbers Y OUR T URN At the supermarket, you buy a package of cheese for $2.50, a loaf of bread for $2.15, a cucumber for $0.65, and some tomatoes for $3.50. Find the total cost of the groceries. $8.80

7
Deductive Reasoning: Using logic from given facts to make a conclusion. You can use deductive reasoning to justify each step in simplifying an expression. Example 3: Justify each step -4b + 9 + b -4b + 9 + 1bIdentity property of multiplication -4b + 1b + 9Commutative property of addition (-4 + 1)b + 9Distributive property -3b + 9addition

8
2-5: Properties of Numbers Y OUR T URN Justify each step 2(3t – 1) + 2 6t – 2 + 2 6t 5a + 6 + a 5a + 6 + 1a 5a + 1a + 6 (5 + 1)a + 6 6a + 6 Distributive Property Inverse property of addition Identity property of multiplication Commutative property of addition Distributive property Addition

9
2-5: Properties of Numbers Assignment Worksheet #2-5 Problems 1 – 29, odds

Similar presentations

OK

9+7 = 7+9 (d∙4)∙3 = d∙(4∙3) t+0 = t -q = -1q Your Practice ◦ (-3+4)+5 = -3+(4+5) ◦ np = pn ◦ 1m = m Comm. Prop of Add Assoc. Prop of Mult.

9+7 = 7+9 (d∙4)∙3 = d∙(4∙3) t+0 = t -q = -1q Your Practice ◦ (-3+4)+5 = -3+(4+5) ◦ np = pn ◦ 1m = m Comm. Prop of Add Assoc. Prop of Mult.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on tricks in mathematics Ppt on earth and space science Free download ppt on self awareness Ppt on complex number for class 11 Download ppt on bermuda triangle Ppt on harmful effects of drinking alcohol Ppt on world environment day 2011 Ppt on council of ministers iran Ppt on franchise business plan Ppt on power sharing in democracy the power