You compare the integer parts first.
Decimals
Decimals include a fractional part, represented by digits to the right of the decimal point, while whole numbers only have a whole part, represented by digits to the left of the decimal point. Whole numbers can be positive or negative, while decimals can also be fractions or mixed numbers. Additionally, whole numbers are used to count while decimals are used for measurement and precision.
either irrational numbers, integers, integers, rational numbers, or whole numbers
3.14 has a finite number of digits. All numbers with a finite number of digits are rational. Pi has an infinite number of digits, AND the digits don't repeat in a regular pattern. (Numbers with repeating decimals are rational as well.)
You compare the integer parts first.
To show very large or very small numbers, without writing out all the digits. To make it easy to compare such numbers, without having to count all the digits.
Decimals
Decimals include a fractional part, represented by digits to the right of the decimal point, while whole numbers only have a whole part, represented by digits to the left of the decimal point. Whole numbers can be positive or negative, while decimals can also be fractions or mixed numbers. Additionally, whole numbers are used to count while decimals are used for measurement and precision.
either irrational numbers, integers, integers, rational numbers, or whole numbers
4,536 whole numbers or mixed numbers. 5,040 pure decimals.
No, because whole numbers are integers without decimals or fractions.
Irrational numbers.
3.14 has a finite number of digits. All numbers with a finite number of digits are rational. Pi has an infinite number of digits, AND the digits don't repeat in a regular pattern. (Numbers with repeating decimals are rational as well.)
Consider the numbers A and B where A has m digits after the decimal point and B has n digits.Then find the multiple A'*B' where A' is A without its decimal point, and B' is B without its decimal point.In that answer insert the decimal point so that there are (m+n) digits after the decimal point.
There are essentially three forms:Terminating decimals: 386 or 23.567,Recurring decimals: 36.572343434... (with 34 repeating),Non-terminating infinite decimals: these represent irrational numbers for which the digits after the decimal point go on for ever without falling into a repeating pattern.
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.