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Easy: Same number of decimal places
Write both numbers with the same number of decimal places by adding zeros at the end; this doesn't change their values. Then compare place by place from the left, starting with the whole numbers, then tenths, hundredths and thousandths.
Write <, > or =.
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Yes. Zeros at the end of a decimal don't change its value: 3 tenths is the same as 300 thousandths.
Compare the tenths (both 4), then the hundredths: 0 is less than 7, so 0.407 < 0.47. Writing both with three places (0.407 and 0.470) makes it clear.
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