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# How do you round 0.4062 to the nearest hundredth?

See explanation

##0.4062##

Write as ##4/10+0/100+6/1000+2/10000##

##color(red)(" "color(white)(2/2)uarr)## ##color(red)(" hundredths")##

The number to the right of the 100th place is 6 which is bigger than or equal to 5 so we round up.

This means that instead of ##0.4062## we have ##0.41## The 0 has increased by 1.

All the digits to the right of the red arrow are discarded leaving just ##0.41##