Evaluate each expression. -|4/7|

Question

Accepted Answer

Hello everyone in this video we're going to be looking at this practice problem where we want to solve and express negative absolute value of 12 divided by 19 as a real number. So in this case because we're working with an absolute value, it's important to remember the absolute value rule where if we have a number inside of the absolute value say negative A. The absolute value gets rid of the negative associated with the numbers. So the absolute value of negative A. Would be positive A. Where A. Is greater than zero. And if we already have a positive number inside of the absolute value such as a. This will also be equal to just positive A. So we can use this to solve our number or our expression negative absolute value of 12 divided by 19. And recall that the absolute value only affects the number inside of the absolute value. So in this case the number inside the absolute value is already positive. So when we get rid of the absolute value bars Will just have 12 divided by 19. But because there's this negative that's being multiplied to the absolute value. We want to make sure to also carry it over and multiply it to the number without the absolute value. So this becomes negative 12 divided by 19. So because the negative was outside of the absolute value bars we still get a negative number. However this becomes our final answer negative 12 divided by 19. And you can see that that aligns with answer choice a. So hopefully this video helped and see you next time

Evaluate each expression. -|4/7|

Key Concepts

Absolute Value

Rational Numbers

Evaluating Expressions

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