ENG 5 Q4 WEEk 1 DAY 1 Restate sentences heard in one’s own words. Use appropr...
7.5 adding real numbers with different signs
1. Adding Real Numbers—Number Line Method
GUIDED EXAMPLE 1 Determine how the overall amount in your
account changed.
You make a deposit of $40 on one day, and on the next day you
write a check for $15.
SOLUTION
STEP
Represent the deposit of
$40 on a number line.
Represent the withdrawal of
$15 on the number line.
RESULT
Determine the final
$25
amount.
Answer The overall change in your account is $25.
2. Adding Real Numbers—The Chip Method
GUIDED EXAMPLE 2 Add.
3 or 3
SOLUTION
STEP
Represent 8 with chips.
Represent with chips.
RESULT
Represent the
addition with chips.
Answer
3. Adding Real Numbers—The Chip Method
GUIDED EXAMPLE 3 Add.
SOLUTION
STEP RESULT
Represent with chips.
or
Represent 7 with chips.
Represent the addition
with chips.
Answer
4. Adding Real Numbers with Different Signs
GUIDED EXAMPLE 4 Add.
SOLUTION
STEP RESULT
Subtract the numerical parts.
Give the answer the same sign
as the larger numerical part.
has the larger numerical part.
It is negative, so the sign of
the sum is negative.
Answer
5. Adding Real Numbers with Different Signs
GUIDED EXAMPLE 5 Add.
SOLUTION
STEP RESULT
Subtract the numerical parts.
Give the answer the same sign
as the larger numerical part.
Answer
has the larger numerical part.
It is positive, so the sign of
the sum is positive.
or
6. Adding Real Numbers with Different Signs
GUIDED EXAMPLE 6 Add.
SOLUTION
STEP RESULT
Subtract the numerical parts.
Give the answer the same sign
as the larger numerical part.
Answer
has the larger numerical part.
It is negative, so the sign of
the sum is negative.
7. Adding Real Numbers with Different Signs
GUIDED EXAMPLE 7 Add.
SOLUTION
STEP RESULT
Subtract the numerical parts.
Give the answer the same sign
as the larger numerical part.
Answer
has the larger numerical part.
It is positive, so the sign of
the sum is positive.
or
8. Adding Real Numbers with Different Signs
GUIDED EXAMPLE 8 Add.
SOLUTION
STEP RESULT
Subtract the numerical parts.
Give the answer the same sign
as the larger numerical part.
Answer
has the larger numerical part.
It is positive, so the sign of
the sum is positive.
or
9. Adding Real Numbers with Different Signs
GUIDED EXAMPLE 9 Add.
RESULT
SOLUTION
STEP DETAILS
Subtract the
numerical parts.
Give the answer
the same sign as
the larger
numerical part.
Answer
The LCD is 24.
is negative, so
and
has the larger numerical
part because is larger
the sign of the sum is
negative.
than .
10. 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 DIFFERENT SIGNS
To add two numbers with different signs, subtract the absolute values, or
numerical parts, of the numbers and give the answer the same sign as the
larger numerical part.
