Which of the following expressions shows how to rewrite 7 − 8 using the additive inverse and displays the expression correctly on a number line?
(5 points)
Group of answer choices
The expression 7 plus negative 8 is written on top. A number line from negative 10 to positive 10 is shown with numbers labeled at intervals of 1. An arrow is shown from point 0 to 7. Another arrow points from 7 to 1.
The expression 7 plus negative 8 is written on top. A number line from negative 10 to positive 10 is shown with numbers labeled at intervals of 1. An arrow is shown from point 0 to 7. Another arrow points from 7 to negative 1.
The expression 7 minus negative 8 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 7. Another arrow points from 7 to negative 8.
The expression 7 minus negative 8 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 7. Another arrow points from 7 to 8.
The expression 7 plus negative 8 is written on top. A number line from negative 10 to positive 10 is shown with numbers labeled at intervals of 1. An arrow is shown from point 0 to 7. Another arrow points from 7 to negative 1.
The correct expression is "7 minus negative 8" and it is represented by the third choice. The number line shows an arrow starting at 0 and pointing to 7, then another arrow points from 7 to negative 8.
The correct expression that shows how to rewrite 7 - 8 using the additive inverse and displays the expression correctly on a number line is:
The expression 7 minus negative 8 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 7. Another arrow points from 7 to 8.
To explain how to arrive at this answer, you need to understand the concept of the additive inverse. The additive inverse of a number is the value that, when added to the original number, results in a sum of zero.
In this case, the original expression is 7 - 8. To rewrite this expression using the additive inverse, we need to replace the subtraction symbol with addition and change the sign of the second number.
So, 7 - 8 becomes 7 + (-8).
To display this expression correctly on a number line, we can plot the number 0 at the center of the number line and then mark the numbers from -10 to 10 at intervals of 1.
In this case, we start at point 0 and draw an arrow to point 7, representing the starting value of the expression. Then, we draw another arrow from point 7 to 8, representing the addition of the additive inverse (-8) to the original number (7).
Therefore, the correct expression that shows how to rewrite 7 - 8 using the additive inverse and displays the expression correctly on a number line is option:
The expression 7 minus negative 8 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 7. Another arrow points from 7 to 8.