How to divide by decimals without a calculator

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Last Updated: February 7, Fact Checked. Grace Imson is a math teacher with over 40 years of teaching experience. She has taught math at the elementary, middle, high school, and college levels. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed , times.

How to divide by decimals without a calculator

Hey, guys! Welcome to this video on dividing decimals! Dividing decimals may not seem like the most useful tool, but it can actually come in handy for several situations in everyday life. Now, you may be wondering when dividing decimals would ever be useful. How many gallons of gas should you ask for? The local store sells large beams of wood that are 28 feet long. At the store, you wonder: how many pieces of wood can you cut out of each beam? Your first step would be to write out the problem as you would any other long division problem. It should look like this:. When solving this problem, it would be significantly easier to work with whole numbers instead of numbers with decimals. The simplest way to accomplish this is by multiplying each number in the expression by As a general rule, every time you multiply a number by 10, you are essentially moving the decimal point over one place to the right.

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Welcome to Omni's decimal calculator , where we'll learn all about adding, subtracting, multiplying, and dividing decimals, as well as about decimal exponents, square roots of a decimal, and logarithms with decimals. The topic is not too difficult: it all boils down to simple arithmetic, but we'll go through it all nice and slow so that we don't miss a thing. For simplicity, we've split the text below into sections, one for each operation available in our decimal calculator. To select this option in the decimal calculator, choose Addition in the Operation variable field. When adding and subtracting decimals, the most important rule is to keep track of the decimal dot. To be precise, the operation boils down to doing the same thing we do when adding integers, as long as the two numbers have the same number of digits after the decimal dot. And if they don't, we force them to. Decimals are fractions that have very special denominators: a power of As such, we can apply to them the same rules we use when simplifying regular fractions. In this case, it means we can add as many zeros after the last digit after the decimal dot, mind you as we like and still have the same value.

How to divide by decimals without a calculator

When dividing decimals by powers of 10 close powers of 10 The second power of 10 for example is Powers of 10 are 10, , and so on. Eg, in the digits represent 1 thousand, 4 hundreds, 8 tens and 2 units. The short division method of multiplication can be used to divide a decimal by a whole number. Equivalent fractions close equivalent fraction A fraction with the same value as another. It may be useful to review place value.

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So if you have an equation such as It really helped, thank you! Dividing decimals is really not much harder than dividing with whole numbers—you just need to keep track of where the decimal point belongs. Q What do you do with a remainder when dividing decimals? Say you wanted to divide 4. Part 2. And, 0. After all, we did change both numbers in our expression. Well we can multiply it by 10 and then another Sort by: Top Voted.

July 1, by Anthony Persico. Are you ready to learn how to convert a fraction to a decimal? Click here to learn how to do the opposite and convert a decimal to a fraction.

We could write it really as a fraction. Yes No. Hobbies and Crafts Crafts Drawing Games. Did this article help you? Dividing decimals can be made simple by multiplying both numbers by the same amount to eliminate decimals. Every time when I am in trouble, this site is my first and last choice. And like always this is a bit of an art when your dividing by a two-digit or a multi-digit number, I should say. This is equal to If your divisor has a decimal, move the decimal to the right until it's a whole number. So we're not changing the value of this fraction. And we know that when we have a fraction like this we're not changing the value of the fraction if we multiple the numerator and the denominator by the same quantity.