Download presentation

Presentation is loading. Please wait.

Published byMavis Parsons Modified over 8 years ago

1
Properties of Real Numbers

2
2 PROPERTIES OF REAL NUMBERS COMMUTATIVE PROPERTY: Addition:a + b = b + a 5 + 7 = 7 + 5 1 + 6 = 6 + 1 3.6 + 1.1 = 1.1 + 3.6 Multiplication: 9 6 4 20 = 6 9 6.4 5.2 = 20 4 = 5.2 6.4 For any real numbers a, b, and c: a b = b a Standards 6, 25 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

3
3 PROPERTIES OF REAL NUMBERS ASSOCIATIVE PROPERTY: Addition:(a + b) + c = a + (b + c) (3 + 4) +1 = 3 + (4 + 1) (2 + 5) + 7 = 2 + (5 + 7) (6.2 + 4.1) +3.3 = 6.2 + (4.1 + 3.3) Multiplication: For any real numbers a, b, and c: 15 4 7 2 3 5 4 7 2 3 5 = 34 45 6 = 34 45 6 5.7 7.2 2.3 = a b c= a b c Standards 6, 25 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

4
4 PROPERTIES OF REAL NUMBERS IDENTITY PROPERTY: Addition:a + 0 = 0 + a=a 5 + 0 = 0 + 5 1 + 0 = 0 + 1 3.6 + 0 = 0 + 3.6 Multiplication: 9 1 4 1 = 1 9 6.4 1 = 1 4 = 1 6.4 For any real numbers a, b, and c: a 1 = 1 a = a = 9 = 4 = 6.4 = 5 = 1 = 3.6 Standards 6, 25 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

5
5 PROPERTIES OF REAL NUMBERS INVERSE PROPERTY: Addition:a + (-a) = (-a) + a=0 5 + (-5) = (-5) + 5 3 + (-3) = (-3) + 3 3.6 + (-3.6) = (-3.6)+ 3.6 Multiplication: For any real numbers a, b, and c: = 1 = 0 a = a = 1 1 a 1 a If a=0 then 3 5 5 3 1 5 5 1 2 2 = 2 1 2 = 5 3 3 5 1 5 = 5 Standards 6, 25 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

6
6 PROPERTIES OF REAL NUMBERS DISTRIBUTIVE PROPERTY: Distributive: For any real numbers a, b, and c: a(b+c) = ab + ac (b+c)a = ba + ca and 3(5+1) = 3(5) + 3(1) (5+1)3 = 5(3) + 1(3) and 4(2+6) = 4(2) + 4(6) (2+6)4 = 2(4) + 6(4) and Standards 6, 25 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

7
7 Name the property shown at each equation: 1 45 = 45 a) 56 + 34 = 34 + 56 b) (-3) + 3 = 0 c) 5(9 +2) = 45 + 10 d) (2 + 1) +b= 2 + (1 + b) e) -34(23) = 23(-34) f) Identity property (X) Commutative property (+) Inverse property (+) Distributive property Associative property (+) Commutative property (X) Standards 6, 25 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

8
8 Simplify 3(4c -7d) + 5(2c + 9c) 3(4c -7d) + 5(2c + 9d) = 3(4c) – 3(7d) +5(2c) +5(9d) =12c – 21d + 10c +45d = 12c + 10c – 21d + 45d = 22c +24d Use distributive property Multiply Use commutative property to group like terms Add like terms Simplify 1 4 (12-4x) 3 5 (15x-10) + 1 4 (12-4x) 3 5 (15x-10) + =( )(12) – ( )(4x) + ( )(15x) – ( )(10) 1 4 1 4 3 5 3 5 = 3 – x + 9x -6 = 3 -6 - x + 9x = 8x-3 Use distributive property Multiply Use commutative property to group like terms Add like terms and commutative property Standards 6, 25 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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