It takes the planet Neptune about 164.8 years to revolve once around the sun.What are the least and greatest numbers written in hundredths that could round to 164.8?
164.75
164.84
To find the least and greatest numbers written in hundredths that could round to 164.8, we need to consider the rules of rounding.
Rounding involves determining which whole number a given decimal is closest to. If the decimal is exactly halfway between two whole numbers, we round to the nearest even whole number. In this case, we are rounding to the nearest hundredth, which means we consider the second decimal place.
For 164.8, the digit in the hundredth place is 8. To determine the least and greatest numbers that could round to this value, we need to look at the digit in the thousandth place.
If the digit in the thousandth place is less than 5, we round down. If it is 5 or greater, we round up.
Since we have 164.8, the digit in the thousandth place is 0. It is less than 5, so we round down.
To find the least number that could round to 164.8, we keep only the hundredth and the thousandth places and round down the remaining digits. This gives us 164.80.
To find the greatest number that could round to 164.8, we increase the digit in the thousandth place by 1, and then round down the remaining digits. This gives us 164.81.
Therefore, the least number that could round to 164.8 is 164.80, and the greatest number that could round to 164.8 is 164.81.