Unit 1 Chapter 1 Section 7 Multiplying Rational Numbers.notebook
Bellringer:
Adding and subtracting mixed numbers requires several steps. You must find the least common denominator, write equivalent fractions, add or subtract, and simplify. Since it is possible to make a mistake in any of these steps, accuracy is very important.
September 19, 2014
Check Your Homework!
Which of the four problems below are correct? Correct the ones that are wrong.
1713
9 52
+ 5 34
____
4 5
­ ____
12
1
­____
4
12 1
13 11
8 3
32
7
+ 2 83
____
5 37
56
3
7 10
20
12
1
20
Jul 26­12:38 PM
Jun 6­7:28 PM
Examples:
Multiplying Same Sign Rational Numbers
Unit 1
Chapter 1 Section 7
Multiplying Rational Numbers
• When both numbers are positive, the product is _____________.
• When both numbers are negative, the product is _____________.
• Change mixed fractions into improper fractions and multiply across.
• Use your calculator.
.
Objective: To multiply rational numbers
3
1
a) (4 )(2 )
4
2
b) 4.75 2.2 2
15
c) (­8 )(­ )
5
24
d) ­8.6 ­3.4
The rules for multiplying integers can be extended to all rational numbers. .
.Negative =
Positive Positive Positive =
.
.Positive =
Negative Negative Negative =
_
_
1) Find the product.
.
Multiplying Different Sign Rational Numbers
• When both numbers have different signs, the product is _____________.
• Change mixed fractions into improper fractions and multiply across.
• Use your calculator.
2) Find the product.
Jun 6­8:17 PM
Application:
3) Freediving is an underwater activity in which the diver does not 1
use scuba gear. When James freedives, he can descend 1 ft per 3
second below sea level. How far below sea level can James descend in 5 seconds?
3
1
a) (5 )(­2 )
5
4
b) ­4.75 2.2 2
1
c) (4 )(­1 )
7
5
d) ­8.6 3.4
Jun 10­10:28 AM
Check Your Understanding:
Pg 40, #'s 1­6
4) Mary is conducting a science experiment. She changes the 3
temperature of a chemical solution by ­ F each minute. What is the 4
total change in the temperature of the chemical solution after 11 minutes?
5) The Dancemania dancing studio sent 2/3 of its dancers to a competition. If there are 36 dancers, how many dancers did the studio send to the competition?
Jun 16­10:50 AM
Jun 10­11:04 AM
1
Unit 1 Chapter 1 Section 7 Multiplying Rational Numbers.notebook
September 19, 2014
Guided Problem Solving
Classwork (Partners)
Textbook Pages 40 & 41, #'s 8 - 36 even
Jun 10­11:04 AM
Challenge
Complete the following statements and justify your answers with specific examples.
Jun 10­11:05 AM
Closure
1) How do you know the sign of the product when you multiply two rational numbers?
When the number of negative factors is odd, the product of rational numbers is _____________ .
2) Find each product
When the number of negative factors is even, the product of rational numbers is _____________ .
Jul 26­12:40 PM
Homework
a) (­3.8)(4.4)
1
1
b) (­2 )(­3 )
2
5
c) 15
16
.
8
9
Jun 10­11:18 AM
Fraction Domino's
Practice Worksheet 1­7
Jun 10­11:25 AM
Jun 16­11:21 AM
2