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Homework Help Estimating Numbers

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homework help estimating numbers

Doing Math Fast: Using Shortcuts
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If it is five, the rule is to always round up add one to the rounding digit. This rule was created to "break the tie" when you are rounding a number that is exactly between two other numbers. These kinds of rules are called "conventions", and are important so we all get the same answer when doing the same problems.

If you're dealing with a decimal number, drop all of the digits following the rounding digit. If you're dealing with a whole number, all the digits to the right of the rounding digit become zero. This sounds a lot more complicated than it really is! It's easiest to learn rounding by studying examples.

To round the number 16, This is the " 8 ". You are trying to get rid of the all the digits to the right of the 8, but you want the result to be as accurate as possible. Now look one digit to the right, at the digit in the ten-thousandths place which is " 3 ".

See that 3 is less than 5, so leave the number "8" as is, and drop the digits to the right of 8. To round 14, 7 6 9. Look at the digit one place to right, " 6 ". Six is more than 5, so this number needs to be rounded up. Add one the rounding digit and change all the rest of the digits to the right of it to zero. For example, if someone asks you how long it will take to do something and you guess three hours, it doesn't really matter if you're wrong by fifteen minutes in either direction.

By learning how to estimate math problems, you can quickly solve simple problems without needing to resort to a calculator or, often enough, without even needing paper and pencil! So what does it mean to estimate in math?

Let's start off with a simple example. How much have we spent so far? You could write everything down and add it up, but an easier way is to simply round everything to the nearest dollar and add those. In fact, because prices tend to end in. First estimate the sum of these numbers, then add them up to find the actual result: We can use a similar trick to quickly multiply numbers.

Actually, that's a nice trick for multiplying numbers in general: It's particularly useful when estimating because we're generally going to round off the numbers, which gives us more zeros to ignore!

This works for small numbers as well; if we have to multiply 1. Ready for some big numbers? See if you can estimate the product of 9, and 23!

The answer is at the end of this article. When we need to divide numbers, we can use the same tricks that we used for multiplication.

For example, suppose we need to divide by We can notice that is close to and 47 is close to 50; then we have divided by 50, a much easier problem!


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Rounding off is a kind of estimating. To round off decimals: Find the place value you want (the "rounding digit") and look at the digit just to the right of it. If that digit is less than 5, do not change the rounding digit but drop all digits to the right of it.

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