Which is greater: \(1\,\text{m}\ 40\,\text{cm} + 60\,\text{cm}\) or \(2.6\,\text{m}\)?
\(2.6\,\text{m}\) is greater.
Let’s add the centimetres first and keep units the same.
Step 1: Add centimetres
\(40\,\text{cm}+60\,\text{cm}=100\,\text{cm}\)
Step 2: Put this with the metre
So, \(1\,\text{m}\ 40\,\text{cm}+60\,\text{cm}=1\,\text{m}+100\,\text{cm}\)
Step 3: Convert centimetres to metres
\(100\,\text{cm}=1\,\text{m}\)
Step 4: Add the metres
\(1\,\text{m}+1\,\text{m}=2.0\,\text{m}\)
Step 5: Compare with \(2.6\,\text{m}\)
\(2.0\,\text{m}\lt2.6\,\text{m}\)
So, \(2.6\,\text{m}\) is greater.