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Simplify: (cd-c /(d-c) 2 2/(3a)+5/(2b) xcyz2/(abcxyz) Write in standard fo 368 0.00006784 0.00321 458754
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4. Simplify:
a)
Factor out from the numerator.
Cancel one term from the numerator and denominator.
The simplified expression is .
b)
Find the least common multiple (LCM) of the denominators $3a$ and $2b$, which is $6ab$.
Rewrite each fraction with the common denominator.
Add the fractions.
The simplified expression is .
c)
Identify common variables in the numerator and denominator.
Cancel out the common variables (, , , ).
The simplified expression is .
5. Write in standard form:
Standard form (scientific notation) is written as , where and is an integer.
a) 368
Move the decimal point to the left until there is one non-zero digit before the decimal point.
Count the number of places the decimal point was moved.
Since it was moved 2 places to the left, the exponent of 10 is 2.
The standard form is .
b) 0.00006784
Move the decimal point to the right until there is one non-zero digit before the decimal point.
Count the number of places the decimal point was moved.
Since it was moved 5 places to the right, the exponent of 10 is -5.
The standard form is .
c) 0.00321
Move the decimal point to the right until there is one non-zero digit before the decimal point.
Count the number of places the decimal point was moved.
Since it was moved 3 places to the right, the exponent of 10 is -3.
The standard form is .
d) 458754
Move the decimal point to the left until there is one non-zero digit before the decimal point.
Count the number of places the decimal point was moved.
Since it was moved 5 places to the left, the exponent of 10 is 5.
The standard form is .
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