Absolute value bars act like grouping symbols. First simplify inside the absolute value bars as much as possible. Then take the absolute value of the resulting number, and continue with any operations outside the absolute value symbols.
Simplify:
ⓐ
ⓑ
Solution
For each expression, follow the order of operations. Begin inside the absolute value symbols just as with parentheses.
Translate word phrases into expressions with integers
Now we can translate word phrases into expressions with
integers . Look for words that indicate a negative sign. For example, the word
negative in “negative twenty” indicates
So does the word
opposite in “the opposite of
Translate each phrase into an expression with integers:
As we saw at the start of this section, negative numbers are needed to describe many real-world situations. We’ll look at some more applications of negative numbers in the next example.
Translate into an expression with integers:
ⓐ The temperature is
below zero.
ⓑ The football team had a gain of
ⓒ The elevation of the Dead Sea is
below sea level.
ⓓ A checking account is overdrawn by
Solution
Look for key phrases in each sentence. Then look for words that indicate negative signs. Don’t forget to include units of measurement described in the sentence.
ⓐ
The temperature is 12 degrees Fahrenheit below zero.
Below zero tells us that 12 is a negative number.
ⓑ
The football team had a gain of 3 yards.
A
gain tells us that 3 is a positive number.
yards
ⓒ
The elevation of the Dead Sea is 1,302 feet below sea level.
Below sea level tells us that 1,302 is a negative number.
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
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miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
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