what is 75,2305 rounded to 2 significant figures
Mathematics · High School · Sun Jan 24 2021
Answered on
Given the number:
732, 305
Round to 2 significant figures.
Solution:
In rounding numbers, it must be taken to note that if the number is greater than or equal to 5 then the succeeding number will be added by 1, hence if the number is less than 5, then the succeeding number will remain the same. Since we are asked to round to two significant figures, this means that we will focus on the ten thousands place value.Hence, we must determine first where hundred thousand is. The number places are as follow in an ascending order: Ones/units, tens, hundreds, thousands, ten thousands, hundred thousands, millions, hundred millions, and so on. For decimals, the number places starts with; tenths, hundredths, thousandths, ten thousandths, hundred thousandths, and so on.
The value in the ten thousands place is 3 and before 3 we have 2 which is less than 5, therefore we will retain the number as it is.
= 730,000
The number has 2 significant figures since 0 is not considered significant, when it is not in between two non-zero numbers.
Final answer:
= 730,000