1.5 – 1.7 Notes: operations of real numbers
Name ____________________
1.5 Adding real numbers
Understanding what you read:
4 objectives:
1.
Define opposites or additive inverses and give an example.
2.
Does zero have an opposite? Does zero have an absolute value?
3.
Explain when the symbol “-“is known as opposite and then as minus. Is there a difference when
solving the problem?
4.
Compare and contrast the expressions; -(-15), -I-15I
5.
Explain why adding a negative number to another negative number always gives a negative
sum.
6.
When a positive and a negative number are added, sometimes the sum is positive, sometimes it
is zero, and sometimes it is negative. Explain why and when this happens.
1.6 Subtracting Real Numbers
1.
Explain why it is important to understand additive inverse when subtracting.
2.
Does the order of numbers matter when subtracting? Give an example to help explain.
3.
In an expression, what order do you use when all the operations are addition and subtraction?
4.
Look at example 6 on page 44; when substitution is used, why is the -5 in parentheses?
5.
Compare and contrast complementary and supplementary angles. Give an example of each.
1.7 multiplying and dividing real numbers
name ______________________
Understand what you read:
2 objectives:
1.
What word describes repeated addition? What word describes repeated multiplication?
2.
Compare and contrast the answers to the product of two numbers with the same sign? With
different signs?
3.
When all the operations are multiply and divide, which comes first?
4.
What is the purpose of exponents?
5.
Compare and contrast −42 and (−4)2 .
6.
Describe multiplicative inverses and give an example. What is another name for multiplicative
inverse? Does zero have a multiplicative inverse?
7.
Find any real numbers that are their own reciprocal/multiplicative inverse.
8. Why is division by zero not possible? Compare and contrast zero as a divisor or dividend. Give
an example of each.
9.
Compare and contrast the following statement: if a and b are real numbers, b≠0 ,
𝑎 −𝑎
𝑎
then −𝑏 , 𝑏 , − 𝑏
Practice: page 47; 79-88odds
Page 48; 1-10all, *25-45 odds
page 56-57; *89-109 every
other odd, 125-134all
*bold/underline must show steps*