Indicate whether true or false
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Indicate whether true or false
Let's first examine the problem:
Looking at the expression on the left side, note that direct use of the distributive property in addition in the fraction's numerator (or alternatively in its denominator) gives us:
where in the final step we used the fact that dividing any number by itself always yields 1,
Therefore, the expressions on both sides of the (assumed) equality are indeed equal, meaning:
(In other words, an identity equation holds- which is true for all possible values of the parameter )
Therefore, the correct answer is answer A.
True
Determine if the simplification shown below is correct:
\( \frac{7}{7\cdot8}=8 \)
Because of the commutative property of addition! This rule says a + b = b + a for any numbers or expressions. So ab + c is exactly the same as c + ab.
As long as the entire denominator doesn't equal zero, the expression is still valid. For example, if a = 0, we get (assuming c ≠ 0).
Yes! This is called an identity equation - it's true for all possible values of a, b, and c, as long as the denominator isn't zero (c + ab ≠ 0).
A fraction equals 1 when the numerator and denominator are identical. Since any non-zero number divided by itself equals 1, look for equivalent expressions in top and bottom.
An identity means the equation is always true regardless of what values you substitute for the variables. Unlike regular equations that have specific solutions, identities work for all allowed values.
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