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The importance of lining up the decimals is so you can just add from bottom to top it makes things a lot easier.
Lining the numbers up makes it easier to spot 0s between the decimal point and the leading non-zero digit.
Example: 2.25 x 3.45Omit the decimal points, though note their position:225 (2 decimal points)345 (2 decimal points)----------- using long-multiplication6750090001125-----------77625Add the decimal points positions together (2 + 2 = 4) count 4 places from the right and place the decimal between the two 7's, thus: 7.7625Figures are not lining up properly from the right once saved!
Yes, When Adding and Subtracting decimals you should line up the decimals. You need to keep each place value in the same column, the same as when you add whole numbers you keep the ones column lined up, same for the tens, etc. Lining up the decimal points makes sure that the tenths column is kept together, same for the hundredths, and so on.
Ensure the decimal points are lined up vertically, for example... 22.399 30.80 Just like that!
You could line up the decimals if you prefer; it's just that when multiplying, unlike adding, lining them up doesn't make things easier. Also, your teacher is likely to misunderstand your creative technique and mark you down even if you get the right answer.When adding, it makes things easier to line up the digits of the same order of magnitude because you only want to add ones to ones and tens to tens. But when you multiply, you end up multiplying every digit in one number by every digit in the other number anyway, so you don't gain anything by lining them up. It just makes it more confusing to figure out the position of the decimal point in the answer.Another way to look at it, is to think of a decimal number as a fraction. 3.14 is the same as 314/100. So when you multiply, say, 3.14 * 2.2, that's the same as (314/100) * (22/10). When you multiply fractions you can multiply the numerators, over the denominators: (314*22)/(100*10). If you write out the integer numerators to multiply them, it's natural to right-align them so that there's a ones column and a tens column, etc. Putting the decimal points in is just a way to keep track of how many digits total were behind the decimal point originally.To think of it yet a third way, consider the problem 3.14+2.2. Clearly this is not the same as 31.4+.22. But 3.14*2.2 isthe same as 31.4*.22. When multiplying, you can move the decimal points around and get the same result, provided that when you move it forward in one number, you move it backward in the other number. That makes it meaningless which digit lines up with which other digit when you write it out on two lines.
first u set up your problem lining up not the decimals but the last numbers. Then u multiply the last number by the number on top then go down the row multiplying.Then u start with the next number and place it under the answers to the first one and don't forget an atomatic 0 and add one every number you do. Then u add the numbers together. then u count how many numbers were behind the decimals and move ur decimal over that many places to ur answer and u get it.
This is effectively the same as lining up the decimal points when adding or subtracting ordinary decimal fractions.
When comparing numbers, the digits are compared starting with the highest place value column that is not empty (or contains a zero) across the numbers. If the digits are the same, the next place value column to the right is checked; and so on until a difference is found or all the digits are the same making the numbers equal. By lining up the decimal points the digits of each place value column are now aligned and it is easy to compare the correct digits (that is the digits in the place value columns) and see which order the numbers are (from least to greatest, etc).
The lining up should be done in such a way that the decimal points are underneath each other.
technically you don't line up the ones. you line up the decimals. you do this because it is necessary to compare place value to place value in order to order.
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