Download presentation

Presentation is loading. Please wait.

Published byTrevor Harrell Modified over 7 years ago

1
Properties and Numbers 1.4

2
Deductive Reasoning Using facts, properties or rules to reach a valid conclusion Conjecture: statement that could be true of false Counter Example: an example that shows a statement is not true.

3
Ex: State whether each conjecture is true. If not give a counterexample. The sum of an even and an odd number is always even. False: 4+1 =5 which is odd

4
Commutative Properties: Change Order Addition Rule: Ex: Multiplication Rule: Ex:

5
Associative Properties: Change Grouping Addition (a+b)+c =a+(b+c) Ex: Multiplication Ex:

6
Identity Properties Addition (0) Rule: a + 0 = a Ex: 7 + 0 = 7 Multiplication(1) Rule: Ex:

7
Name the Property Example: 4+(a+3)=(a+3) +4 Answer: Commutative because the numbers changed order Example: 1(3c)=3c Answer: Identity Property because you multiplied by 1 and the number did not change

8
Name the Property Ex: 14+(9+10)=(14+9)+10 Answer: Associative because the grouping symbols changed Ex: d+0 =d Answer: Identity of addition because you added by 0 and the result stayed the same

9
Simplify the phrase using the properties Ex: 9 +(5+y)

10
Answer the following 2 questions: 1.) Is division of whole numbers associative? If not give a counterexample 2.) Is subtraction of whole numbers commutative? If not give a counterexample

11
Homework Page 22 (14-39 all, 42-48 even)

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google