Question Video: Multiplying Absolute Values of Decimal Numbers by Mixed Numbers | Nagwa Question Video: Multiplying Absolute Values of Decimal Numbers by Mixed Numbers | Nagwa

Question Video: Multiplying Absolute Values of Decimal Numbers by Mixed Numbers Mathematics • First Year of Preparatory School

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Evaluate |−0.8| × (1 1/21) giving the answer in its simplest form.

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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.

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