I am very confused with rounding off numbers. How do you know how many zeroes shall you put when you retain?
Rounding to nearest
Thousand = 1000
hundred = 100
ten = 10
ones = 1
tenth = .1
hundredth = .01
thousandth = .001
Do not retain any zeros after the decimal value indicated by 1.
I hope this helps.
How do I round 1.20 to the nearest hundredth?
100
When rounding off numbers, the number of zeroes after the decimal point depends on the level of precision or significant figures you want to retain in the rounded number. Significant figures are the digits in a number that contribute to its accuracy. The general rules for rounding off numbers are as follows:
1. Identify the digit to which you need to round off. This digit is determined by the desired level of precision. For example, if you want to round off to two decimal places, you would focus on the third digit after the decimal point.
2. Look at the digit immediately to the right of the identified digit. If this digit is 5 or greater, you will round up the identified digit. If it is less than 5, you will round down the identified digit.
3. If you need to round up, add 1 to the identified digit. If you need to round down, leave the identified digit as it is.
4. Remove all the digits to the right of the identified digit, including the identified digit itself.
5. If there are any digits left after the decimal point, retain them. If not, you can add zeroes if necessary.
Here is an example to illustrate this process:
Let's say you have the number 3.7846 and you want to round it to two decimal places:
1. Identify the digit to which you need to round off, which is the third digit after the decimal point, in this case, 4.
2. Look at the digit immediately to the right of the identified digit, which is 6. Since 6 is greater than 5, you will round up the identified digit, which is 4.
3. Add 1 to the identified digit: 4 + 1 = 5.
4. Remove all the digits to the right of the identified digit: the rounded number becomes 3.79.
5. Since there are still digits after the decimal point, there is no need to add any zeroes.
In summary, the number of zeroes after the decimal point depends on the desired level of precision and the remaining digits after rounding off. If there are no remaining digits after rounding, you don't need to add any zeroes.