Download presentation

Presentation is loading. Please wait.

Published byMelinda Gritton Modified over 2 years ago

1
Different signs; product is negative. Same signs; product is positive. Multiply 2 and – 5. Different signs; product is negative. Find the product. EXAMPLE 1 Multiply real numbers a. – 3 (6) b. 2 (–5) (–4) = 40 c. – (–4) (–3) 1 2 Multiply – and – 4 1 2 = – 6 = – 18 = 2 (– 3) (–10) (–4) =

2
GUIDED PRACTICE for Example 1 Find the product. 1. – 2 (– 7)= 14 2. – 0.5 (– 4) (– 9)= – 18 3. (–3) (7) 4 3 = – 28

3
Multiplicative property of – 1 Identity property of multiplication Commutative property of multiplication Associative property of multiplication Multiplicative property of zero Property illustratedStatement EXAMPLE 2 Identify properties of multiplication x (7 0.5) a. (x 7) 0.5 = b. 8 0 = 0 c. – 6 y = y (– 6) d. 9 (– 1) = – 9 e. 1 v = v

4
GUIDED PRACTICE for Example 2 Identify the property illustrated. Multiplicative property of – 1 Commutative property of multiplication Associative property of multiplication Multiplicative property of zero Commutative property of multiplication Multiplicative property of – 1 4. –1 8 = – 8 12 x = x 125. y (4 9) (y 4) 9 = 6. 7. 0 (– 41) = 0 8. – 5 (– 6) = – 6 (– 5) 9. –13 (– 1) – 8 =

5
Multiplicative property of – 1. Product of 0.25 and – 4 is – 1. Associative property of multiplication Commutative property of multiplication EXAMPLE 3 Identify properties of multiplication Find the product (–4x) 0.25. Justify your steps. = –x= –x 0.25 (–4x)(–4x) 0.25 = = (0.25 (–4))x = –1 x

6
Lakes EXAMPLE 4 Solve a multi-step problem In 1900 the elevation of Mono Lake in California was about 6416 feet. From 1900 to 1950, the average rate of change in elevation was about – 0.12 foot per year.From 1950 to 2000, the average rate of change was about – 0.526 foot per year. Approximate the elevation in 2000.

7
Substitute values. EXAMPLE 4 Solve a multi-step problem SOLUTION STEP 1 STEP 2 = 6416 + (–6) Multiply – 0.12 and 50. New elevation = Calculate the elevation in 1950. Use the elevation in 1900 as the original elevation. The time span 1950 – 1900 = 50 years. 6416 +(–0.12)(50) Write a verbal model. = 6410 Add 6416 and –6. New elevation (feet) Original elevation (feet) Average rate of change (feet/year) Time passed (years) = +

8
New elevation = = 6383.7 Multiply – 0.526 and 50. Substitute values. EXAMPLE 4 Solve a multi-step problem STEP 3 = 6410 + (–26.3) Add 6410 and –26.3. Calculate the elevation in 2000. Use the elevation in 1950 as the original elevation. The time span 2000 – 1950 = 50 years. 6410 +(– 0.526)(50)

9
EXAMPLE 4 Solve a multi-step problem ANSWER The elevation in 2000 was about 6383.7 feet above sea level.

10
GUIDED PRACTICE for Example 3 and 4 Find the product. Justify your steps. 3 10 10. (5y) = ( 5)y 3 10 Associative property of multiplication 3 2 = y Product of and 5 is. 3 10 3 2 3 2 = y Multiplicative property of. 3 2

11
GUIDED PRACTICE for Example 3 and 4 0.8 (–x) (–1) 11. 0.8 (–1) (–x) = Multiplicative property of –1 Commutative property of multiplication = 0.8x Multiply = – 0.8 (–x)

12
GUIDED PRACTICE for Example 3 and 4 Product of – 0.5 and – 6 is 3. = –3y Commutative property of multiplication 12. (–y)(–0.5)(–6) = (–y)(3)

13
GUIDED PRACTICE for Example 3 and 4 Using the data in Example 4, approximate the elevation of Mono Lake in 1925 and in 1965. 13. ANSWER about 6413 ft; about 6402.11 ft

Similar presentations

Presentation is loading. Please wait....

OK

Objectives The student will be able to:

Objectives The student will be able to:

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on atrial septal defect definition Ppt on job evaluation process Ppt on area of parallelogram worksheet Ppt on indian stock market basics Ppt on systematic layout planning Ppt on job rotation articles Topics for ppt on environment Ppt on market friendly statements Ppt on american vs british accents Ppt on ministry of corporate affairs