There are many different times that you will experience a data point or number that seems difficult work with. Your first instinct will be to make a move that will adjust the numbers closer to a value that will make them easier to work with. That is called rounding. We round values based on several different rules, but the most common method is to decide upon the integer within the number that holds a level of significance that we are aiming for and working off of particular place value we assess what the final value should be. If the number that is to right of it is 5 or greater, raise that place value by 1. Otherwise, round the place value down by 1. Once we complete our rounding we set all the digits below (to the right of) it to zero. Below you find a number of topics that will help you better understand this concept with large and small values.
- Approximating Values - We learn how near exact a value needs to be to pass as acceptable.
- Estimate Differences - You guessed it, round and then subtract the values.
- Estimate Sums - Just the inverse of the last topic in this worksheet section.
- Estimating Sums and Differences with Fractions - We include slightly more difficulty numeric form to work with here.
- Math Operations with Rounding - These lead to pretty accurate understandings of the values that are present.
- Place Value: Understanding How to Round Decimals - We are always looking to the right of the place value to make our decisions.
- Rounding Decimals - It is all about being able to determine the exact integer we need to evaluate.
- Rounding Fractions - These often cause students difficulty when they first see them.
- Rounding Integers Based on Place Value - We work with a real mix of values here.
- Rounding Large Numbers - As the title indicates, the values on these worksheets are rather big.
- Rounding Numbers By Place Value - We should have a good notion of what place value is before we start this section.
- Rounding Up and Down - Five or more and it goes up. Four or less and it goes down.
- Rounding To The Nearest Tens or Hundreds (In Words) - Note that all the values that we are to evaluate are written in words and not numeric form.
- Significant Figures - The problem itself indicates how accurate our answer needs to be expressed.
What is Rounding?
To simplify a number to make a numeric problem easier to solve, we use the concept of rounding the value off. It can simplify a complex number as it allows adjusting the digits. The answers to numeric problems where students use rounding off are estimated answers and are not precise. It is an acceptable technique in situations where precision is not required.
It is important to have a clear understanding of place values before one can learn to round off. Both these concepts can really ease out rough calculations. There are several rules that you need to follow when rounding of a number.
Rule 1: - When the digit on the unit's place is less than 5, the number is to be rounded down.
Rule 2: - When the digit on the unit's place is greater than or equal to 5, the number is to be rounded up.
After you decide the last digit, you want to keep and if the digit next to it is less than five, you have to leave it as it is. The practice is known as rounding down. In case the digit is five or greater than 5, you add one to the number and this practice is known as rounding up.
Rounding makes the values that you are working with a great deal easier to take forward and better understand. While taking a value estimating it will get you close to your answer, rounding will anchor you a great deal more.
Why Rounding Is More Helpful Then Approximating?
Approximating is a much more informal form of math. The values that end up with tend to be a form of educated guess. Sometimes the information that we use to form that educated guess have certain assumptions attached to them. The values that are finally established by approximating tend to have a form of bias attached to them that can be seen as less than accurate. They tend to be a great deal of center than what would be normal for the measure that you are trying to attain. Rounding is a bit more reliable since it follows the process of fixed rules.