1. Homework Corrections (page 1 of 2) A#13 / 1-1 Homework Worksheet
1. possible answers:
a) the difference of 4 and y; y less than 4
b) the quotient of r and 5; r divided by 5
2. t + 20
3. a) 1
b) 30
4. algebraic expression: 2x;
possible real-world situation: Two algebra classes
each have x number of students, so 2x represents
the number of algebra students in both classes.

2. Homework Corrections (page 2 of 2) A#13 / 1-1 Homework Worksheet5. x
x + 12 1 13 2 14 3 15 4 16

3. Warm Up Simplify. 1. |-3| 2. -|4|
1. |-3| |4|
Write an improper fraction to represent each mixed number. 4.
Write a mixed number to represent each improper fraction. 6.

4. Lesson Objective: I will be able to … Add real numbers
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Lesson Objective: I will be able to …
Add real numbers
Subtract real numbers
Language Objective: I will be able to …
Read, write, and listen about vocabulary, key
concepts, and examples

5. Classwork Assignment #14 Adding, Subtracting, Multiplying, and
Dividing Real Numbers with Algebra Tiles
Worksheet

6. All the numbers on a number line are called real numbers
All the numbers on a number line are called real numbers. You can use a number line to model addition and subtraction of real numbers.
Addition
To model addition of a positive number, move right. To model addition of a negative number move left.
Subtraction
To model subtraction of a positive number, move left. To model subtraction of a negative number move right.

7. Example 1: Adding and Subtracting Numbers on a Number line
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Add or subtract using a number line.
A. –4 + (–7)
To add –7, move left 7 units.
+ (–7)
Start at 0. Move left to –4. –4
–4+ (–7)
= –11 11 10 9 8 7 6 5 4 3 2 1
To subtract –6, move right 6 units.
B. 3 – (–6)
Start at 0. Move right to 3. –6
+ 3
3 – (–6) = 9 -3 -2 -1 1 2 3 4 5 6 7 8 9

8. 8 7 6 5 4 3 2 1 1 2 Your Turn 1 Subtract using a number line:
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Subtract using a number line:
–5 – (–6.5)
To subtract negative 6.5 move right 6.5 units. –5
Start at 0. Move left to –5.
– (–6.5) 8 7 6 5 4 3 2 1 1 2
–5 – (–6.5) = 1.5

9. 5 units 5 units - 6 - 5 - 4 - 3 - 2 - 1 1 2 3 4 5 6 |–5| = 5 |5| = 5
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The absolute value of a number is the distance from zero on a number line. The absolute value of 5 is written as |5|.
5 units
5 units - 6 - 5 - 4 - 3 - 2 - 1 1 2 3 4 5 6
|–5| = 5
|5| = 5

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11. Example 2: Adding Real Numbers
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Example 2: Adding Real Numbers
Add.
When the signs of numbers are different, find the difference of the absolute values: A.
Use the sign of the number with the greater absolute value.
The sum is negative.
B. x + (–68) for x = 52
x + (–68) = 52 + (–68)
First substitute 52 for x.
When the signs of the numbers are different, find the difference of the absolute values.
68 – 52 = 16
Use the sign of the number with the greater absolute value.
–16
The sum is negative.

12. Your Turn 2 Add. y + (–2) for y = –6 y + (–2) = (–6) + (–2) = –8
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Add.
y + (–2) for y = –6
y + (–2) = (–6) + (–2)
First substitute –6 for y.
When the signs are the same, find the sum of the absolute values: = 8.
Both numbers are negative, so the sum is negative.
= –8

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14. Example 3: Subtracting Real Numbers
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Example 3: Subtracting Real Numbers
Subtract.
A. –6.7 – 4.1
= –6.7 + (–4.1)
To subtract 4.1, add –4.1.
When the signs of the numbers are the same, find the sum of the absolute values: = 10.8.
= –10.8
Both numbers are negative, so the sum is negative.
B. 5 – (–4)
= 5 + 4
To subtract –4 add 4.
= 9
Find the sum of the absolute values.

15. Example 3 Continued Subtract. C. First substitute for z. To subtract
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Subtract. C.
First substitute
for z.
To subtract
, add
Rewrite with a denominator of 10.
When the signs of the numbers are the same, find the sum of the absolute values: . =
Write the answer in the simplest form. Both numbers are negative, so the sum is negative.

16. Both numbers are positive so, the sum is positive. 4
Your Turn 3
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Subtract:
To subtract add –3 1 2 3
When the signs of the numbers are the same, find the sum of the absolute values: = 4. 3 1 2 +
Both numbers are positive so, the sum is positive. 4

17. Cornell Notes Fill in the Essential Question:
“How do I add and subtract with real
numbers?”
Write two or three main ideas from this lesson
in the Notes section.
Write a Question for each main idea.
(The answer to the question should be the
main idea.)
Summarize the answers to your questions in
the Summary section.
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