Question Video: Evaluating Numerical Expressions Involving Absolute Value and Order of Operations

Evaluate 6 + |โˆ’4| รท 1ยฒ.

02:15

Video Transcript

Evaluate six plus the absolute value of negative four divided by one squared.

The absolute value or magnitude of a number is its distance from zero. This means that the absolute value will always be positive. The absolute value of negative ๐‘Ž is ๐‘Ž and the absolute value of ๐‘Ž is also ๐‘Ž, where ๐‘Ž is a positive constant.

This means that in our question, the absolute value of negative four is four. This is because negative four is four away from zero. Our question, therefore, simplifies to six plus four divided by one squared. In order to evaluate this calculation, we need to use our order of operations, sometimes known as PEMDAS or BIDMAS.

The P stands for parentheses and the B brackets. The E and I stand for exponents or indices. The M and D stand for multiplication and division, which have equal priority. We always work from left to right. Likewise, addition and subtraction have equal priority, and again we work from left to right.

There are no brackets or parentheses in the question, but there are exponents. One squared is equal to one. We drop all the other numbers and operations to the next line, leaving us with six plus four divided by one. Division comes before addition. So, our next step is to divide four by one. This is equal to four as any number divided by one is itself.

Our calculation becomes six plus four. This is equal to 10. The value of six plus the absolute value of negative four divided by one squared is 10.

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