The expression that shows \( x \) and its opposite are 0 is:
\( x + (-x) = 0 \)
This is because \( -x \) is the opposite of \( x \), and when you add a number and its opposite, the result is always 0.
Responses
x+(−1/x)=0
x plus left parenthesis negative Start Fraction 1 over x End Fraction right parenthesis equals 0
x+x=0
x plus x equals 0
x+(1/x)=0
x plus left parenthesis Start Fraction 1 over x End Fraction right parenthesis equals 0
x+(−x)=0
11 answers
The expression that shows \( x \) and its opposite are 0 is:
\( x + (-x) = 0 \)
This is because \( -x \) is the opposite of \( x \), and when you add a number and its opposite, the result is always 0.
The correct answer is:
d. \( x + (-x) = 0 \)
This expression accurately shows that \( x \) and its opposite are equal to 0.
The expression that correctly shows the sum of opposite numbers is:
(−25) + 25 = 0
This demonstrates that adding a number and its opposite results in zero.
Yes, that is correct!
The expression (−25) + 25 = 0 correctly shows that the sum of a number and its opposite equals zero. The other options either do not represent the sum of opposites or provide incorrect sums.
The situation that describes opposite quantities that, when combined, would equal 0 is:
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west.
In this case, the eastward and westward distances are opposites. When the family rides 4 miles east and then 4 miles west, the net distance from home is 0 miles.
Yes, that is correct!
The situation in which a family rides their bikes four miles due east from home and then rides four miles due west indeed describes opposite quantities. The eastward and westward distances cancel each other out, resulting in a net displacement of 0 miles from home.