Unlike multiplication if both sides of an equation are divided by the same number, the sides do not remain equal and the equation does not remain balanced. ture or false
False. If both sides of an equation are divided by the same nonzero number, the sides will remain equal and the equation will remain balanced.
True. If both sides of an equation are divided by the same number, the sides do not remain equal and the equation does not remain balanced.
The statement is false. If both sides of an equation are divided by the same non-zero number, the sides do remain equal and the equation remains balanced.
To explain why this is true, let's consider a simple equation:
a = b
Now, suppose we divide both sides of the equation by a non-zero number, let's call it "c":
(a/c) = (b/c)
Since we divided both sides by the same number (c), the equation remains balanced. The left side becomes "a" divided by "c", and the right side becomes "b" divided by "c". As long as "c" is not zero, the division operation does not change the equality of the two sides.
So, if both sides of an equation are divided by the same non-zero number, the equation remains balanced, and the sides remain equal.