Which statement is not true?
0+0=0
0-0=0
0\times0=0
0\div0=0
Think about each option one by one.
A. \(0+0=0\)
Adding zero does not change a number.
So, \(0+0=0\) is true.
B. \(0-0=0\)
Taking away zero also does not change a number.
So, \(0-0=0\) is true.
C. \(0\times 0=0\)
Multiplying by zero gives zero.
So, \(0\times 0=0\) is true.
D. \(0\div 0=0\) ?
Division asks: “What number \(x\) makes this true?”
\(0 \div 0 = x\) means \(0 = x \times 0\).
But \(1 \times 0 = 0\).
Also \(2 \times 0 = 0\).
And \(5 \times 0 = 0\), \(-3 \times 0 = 0\), and so on.
There are many numbers \(x\) that satisfy \(0 = x \times 0\).
Because there is not a single answer, the value of \(0\div 0\) is not defined.
Therefore, the statement “\(0\div 0=0\)” is not true.
Answer: D