It isn't really that important, it just makes the problem solving easier and gives you less of a chance of making a mistake.
explain why it is important to line up decimal numbers by their place value when you add or subtract them
A decimal number is one way of representing numbers where each place for a digit has a place value that is ten times that of the place to its right. Most all the numbers that you familiar with (judging from your question) will be decimal numbers. A decimal number need not be a [decimal] fraction.
A decimal number is simply a way of representing a number in such a way that the place value of each digit is ten times that of the digit to its right. A decimal representation does not require a decimal point. Since we normally count in tens, almost all the numbers that we come across are decimal numbers.
It is the decimal point, although in some parts of the world a comma is used instead.
Because the number of digits after the decimal place in a product does not require that.
explain why it is important to line up decimal numbers by their place value when you add or subtract them
you subtract by lining your numbers and start from the ones place and continue going to the left
The simplest way is to line up the numbers so that their decimal points are aligned, and corresponding digits are also aligned according to their place value.
How To Add/Subtract DecimalsTo add decimals you HAVE TO LINE UP THE DECIMAL POINTS and then add the numbers up (Tip: when your first starting if the decimals don't go to the same place value you can add as may zeros at the END of the decimal. This does NOT change the place value)After you have added up the digits you "drop" the decimal point down.Example 105.43+23.4=?105.43+23.40-----------128.83To subtract decimals it's the same thing as adding YOU MUST LINE UP THE DECIMALS. You would subtract as you normally would.You would then "drop" down the decimal point.Example 109.783-43.39=?109.783-43.390----------66.393
0.8000000000000114
A decimal number is one way of representing numbers where each place for a digit has a place value that is ten times that of the place to its right. Most all the numbers that you familiar with (judging from your question) will be decimal numbers. A decimal number need not be a [decimal] fraction.
Almost all numbers that we use in daily life are decimal numbers. The place value of each digit is ten times the place value of the digit to its right. And that is all that is required of decimal numbers. A decimal point is not necessary.
48.29
This is equation is true for anything, meters, gallons or inches: 6 subtract 0.03 is same as 6.00 -(subtract) 0.03 = 5.97 It helps to write the numbers with the same number of decimals by adding extra "0" after the decimal place.
Place Value Charts help you because they put the decimal in the right place.
The simplest way is to line up the numbers so that their decimal points are aligned, and corresponding digits are also aligned according to their place value.
300-0.6 = 299.4