x metres = _________ centimetres.
x metres = 100x centimetres.
Step 1: Remember the basic fact:
\(1\ \text{metre} = 100\ \text{centimetres}\)
Step 2: Now we have x metres, which means x times 1 metre.
\(x \times 1\ \text{metre} = x\ \text{metres}\)
Step 3: Multiply both sides of Step 1 by \(x\).
Left side: \(x \times 1\ \text{metre} = x\ \text{metres}\)
Right side: \(x \times 100\ \text{centimetres} = 100x\ \text{centimetres}\)
Step 4: Therefore,
\(x\ \text{metres} = 100x\ \text{centimetres}\)
So, fill in the blank with \(100x\).