Video Transcript
Evaluate the absolute value of
negative 0.8 multiplied by one and one twenty-first giving the answer in its
simplest form.
The absolute value of a number is
the distance between the number and zero. This means that it will always be
positive. The absolute value of negative 0.8
is 0.8. This can be written as a fraction
as eight-tenths. We can convert our second number,
one and one twenty-first, into a top heavy or improper fraction. We do this by multiplying the whole
number by the denominator and then adding the numerator. This gives us 22. The denominator of the fraction
stays the same.
Multiplying the absolute value of
negative 0.8 by one and one over 21 is the same as multiplying eight over 10 by 22
over 21. The fraction eight over 10 or
eight-tenths can be simplified to four-fifths by dividing the numerator and
denominator by two. We can then multiply the numerators
and denominators separately. Four multiplied by 22 is 88. And five multiplied by 21 is 105 as
five multiplied by 20 is 100.
In its simplest form, the absolute
value of negative 0.8 multiplied by one and one twenty-first is 88 over 105. We can’t simplify this fraction any
further as there is no common factor of 88 and 105 apart from one.
