1 / 13

2.1 Properties of Real Numbers

2.1 Properties of Real Numbers. Commutative Associative Identity + ×. Commutative Properties. Changing the order of the numbers in addition or multiplication will not change the result. Commutative Property of Addition states: 2 + 3 = 3 + 2 a + b = b + a.

karenclark
Télécharger la présentation

2.1 Properties of Real Numbers

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 2.1 Properties of Real Numbers Commutative Associative Identity + ×

  2. Commutative Properties • Changing the order of the numbers in addition or multiplication will not change the result. • Commutative Property of Addition states: 2 + 3 = 3 + 2 a + b = b + a. • Commutative Property of Multiplication states: 4 • 5 = 5 • 4 ab = ba.

  3. Associative Properties • Changing the grouping of the numbers in addition or multiplication will not change the result. • Associative Property of Addition states: 3 + (4 + 5)= (3 + 4)+ 5 a + (b + c)= (a + b)+ c • Associative Property of Multiplication states: (2 • 3) • 4 = 2 • (3 • 4) (ab)c = a(bc)

  4. Additive Identity Property • There exists a unique number 0 such that zero preserves identities under addition. a + 0 = a 0 + a = a • In other words adding zero to a number does not change its value.

  5. Multiplicative Identity Property • There exists a unique number 1 such that the number 1 preserves identities under multiplication. a∙ 1 = a 1 ∙a = a • In other words multiplying a number by 1 does not change the value of the number.

  6. Let’s play “Name that property!”

  7. State the property or properties that justify the following. 3 + 2 = 2 + 3 Commutative Property

  8. State the property or properties that justify the following. 3 + (4 + 5) = (3 + 4) + 5 Associative Property

  9. State the property or properties that justify the following. (5 + 2) + 9 = (2 + 5) + 9 Commutative Property

  10. EXAMPLES

  11. 2. Which Property? 3 + 7 = 7 + 3 Commutative Property of Addition

  12. 3. Which Property? 8 + 0 = 8 Identity Property of Addition

  13. 5. Which Property? 6 • 4 = 4 • 6 Commutative Property of Multiplication

More Related