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The plus and minus signs now have two meanings :
The plus sign can denote the operation of addition or a positive number.
The minus sign can denote the operation of subtraction or a negative number.
To avoid any confusion between "sign" and "operation," it is preferable to read the sign of a number as "positive" or "negative." When "+" is used as an operation sign, it is read as "plus." When " " is used as an operation sign, it is read as "minus."
Read each expression so as to avoid confusion between "operation" and "sign."
should be read as "negative eight" rather than "minus eight."
should be read as "four plus negative two" rather than "four plus minus two."
should be read as "negative six plus negative three" rather than "minus six plus minus three."
should be read as "negative fifteen minus negative six" rather than "minus fifteen minus minus six."
should be read as "negative five plus seven" rather than "minus five plus seven."
should be read as "zero minus two."
Write each expression in words.
The opposite of a real number is denoted by placing a negative sign directly in front of the number. Thus, if is any real number, then is its opposite.
If is any real number, is opposite on the number line.
The number is opposite on the number line. Therefore, is opposite on the number line. This means that
From this property of opposites, we can suggest the double-negative property for real numbers.
Find the opposite of each number.
Find the opposite of each number.
Suppose is a positive number. Is positive or negative?
is negative
Suppose is a negative number. Is positive or negative?
is positive
Suppose we do not know the sign of the number . Is positive, negative, or do we not know?
We must say that we do not know.
A number is denoted as positive if it is directly preceded by
+ (or no sign)
A number is denoted as negative if it is directly preceded by
How should the number in the following 6 problems be read? (Write in words.)
For the following 6 problems, write each expression in words.
For the following 6 problems, rewrite each number in simpler form.
( [link] ) Solve the proportion:
( [link] ) Use a unit fraction to convert 4 yd to feet.
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