# Jonathon says that 0.4 is less than 0.267. how could you convince him

Jonathon says that 0.4 is less than 0.267. how could you convince him that it's not?

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Todd Williams
Step 1
So we need to convince jonathan which decimal is larger.
Step 2
So here's what we will do.
We will take 1000 quantity of both fractions and and try to eliminate the decimals.
That means, $$\displaystyle{0.4}\times{1000}={400}\ {\quad\text{and}\quad}\ {0.267}\times{1000}={267}$$
Since we took same quantities of the two decimals the comparison is easier and fair.
Since $$\displaystyle{400}{>}{267}$$, 0.4 must be greater than 0.267