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Adding Real Numbers—Number Line Method 
GUIDED EXAMPLE 1 Find the total value of the withdrawals for 
the day. 
You write a check for $30 at dinner, and then later you write a 
check for $10 at the movies. 
SOLUTION 
STEP RESULT 
Represent the 
withdrawal of $30 
on a number line. 
Represent the 
withdrawal of $10 
on the number line. 
Determine the total 
withdrawal. 
Answer The total value of the withdrawals is
Adding Real Numbers—The Chip Method 
GUIDED EXAMPLE 2 Add. 
SOLUTION 
STEP RESULT 
Represent with chips. 
Represent with chips. 
Represent the addition with chips. 
Add the chips. 
Answer
Adding Real Numbers with the Same Sign 
GUIDED EXAMPLE 3 Add. 
SOLUTION 
STEP RESULT 
Add the numerical parts. 
Give the answer the sign of the 
numbers being added. 
Answer 
Both numbers are negative, so the 
sign of the sum is negative.
Adding Real Numbers with the Same Sign 
GUIDED EXAMPLE 4 Add. 
SOLUTION 
STEP RESULT 
Add the numerical parts. 
Give the answer the sign of 
the numbers being added. 
Answer 
Both numbers are negative, 
so the sign of the sum is negative.
Adding Real Numbers with the Same Sign 
GUIDED EXAMPLE 5 Add. 
SOLUTION 
STEP RESULT 
Add the numerical parts. 
Give the answer the sign of the 
numbers being added. 
Answer 
Both numbers are negative, 
so the sign of the sum is negative.
Adding Real Numbers with the Same Sign 
GUIDED EXAMPLE 6 Add 
SOLUTION 
STEP RESULT 
Add the numerical parts. 
Give the answer the sign of the 
numbers being added. 
Answer 
All three numbers are negative, 
so the sign of the sum is negative.
Study Guide 
The absolute value of a number is the distance between 
that number and zero on a number line. 
Procedure: ADDING TWO NUMBERS WITH THE SAME SIGN 
To add two numbers of the same sign, add the absolute values, or 
numerical parts, of the numbers and give the answer the same sign as the 
numbers being added. 
Note: A number written without a sign is assumed to be positive.

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7.4 adding real numbers with the same sign

  • 1. Adding Real Numbers—Number Line Method GUIDED EXAMPLE 1 Find the total value of the withdrawals for the day. You write a check for $30 at dinner, and then later you write a check for $10 at the movies. SOLUTION STEP RESULT Represent the withdrawal of $30 on a number line. Represent the withdrawal of $10 on the number line. Determine the total withdrawal. Answer The total value of the withdrawals is
  • 2. Adding Real Numbers—The Chip Method GUIDED EXAMPLE 2 Add. SOLUTION STEP RESULT Represent with chips. Represent with chips. Represent the addition with chips. Add the chips. Answer
  • 3. Adding Real Numbers with the Same Sign GUIDED EXAMPLE 3 Add. SOLUTION STEP RESULT Add the numerical parts. Give the answer the sign of the numbers being added. Answer Both numbers are negative, so the sign of the sum is negative.
  • 4. Adding Real Numbers with the Same Sign GUIDED EXAMPLE 4 Add. SOLUTION STEP RESULT Add the numerical parts. Give the answer the sign of the numbers being added. Answer Both numbers are negative, so the sign of the sum is negative.
  • 5. Adding Real Numbers with the Same Sign GUIDED EXAMPLE 5 Add. SOLUTION STEP RESULT Add the numerical parts. Give the answer the sign of the numbers being added. Answer Both numbers are negative, so the sign of the sum is negative.
  • 6. Adding Real Numbers with the Same Sign GUIDED EXAMPLE 6 Add SOLUTION STEP RESULT Add the numerical parts. Give the answer the sign of the numbers being added. Answer All three numbers are negative, so the sign of the sum is negative.
  • 7. Study Guide The absolute value of a number is the distance between that number and zero on a number line. Procedure: ADDING TWO NUMBERS WITH THE SAME SIGN To add two numbers of the same sign, add the absolute values, or numerical parts, of the numbers and give the answer the same sign as the numbers being added. Note: A number written without a sign is assumed to be positive.