This episode continues our conversation on the Basics of Digitizing File. In order to understand also exactly how computer systems job-related, first, you should go earlier to your fundamental math. Let’s talk around the icons we usage to reexisting amounts. This episode is a quick oversee of our counting device and Base-10 numbering device.

You are watching: A symbol that is used to represent a number

Your crucial takeamethods are:

Numbers and digits are the signs provided to recurrent a quantityDigits are the numbers 0 to 9The Decimal Number System is based on the amounts of 10Base-10 is expressed as 10 to the power of a factor of X

Study Notes

How carry out we recurrent the number of items?

Numbers are symbols which recurrent a count or quantity. We are placing focus on “symbol” and also “representation.” Humankind produced “numbers” as a kind of international language.

Early Quantity Identification

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We have a particular variety of items. These items are clocks.We desire to identify the quantity of clocks by counting them.What did we use to count?We can use the 10 fingers on our hands to count. 1, 2, 3, 4….

The Symbol

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We need a means to interact the amount vs. counting on our fingers or reflecting pictures of the variety of items.Let’s begin by identifying the signs we will certainly usage in this new language.We have to represent some number of counts on our fingers.Starting at the initially finger, we assign the symbol: 1, 2, 3, 4, 5, 6, 7, 8, 9.How carry out we recurrent 10?Notice that each of the numbers is a solitary symbol.Do we use a two symbol representation of “10”?What if we provided “0”? It’s a solitary symbol.Redoing our counting then, the first finger is 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

In the Decimal Number System, we use the symbols: 9, 8, 7, 6, 5, 4, 3, 2, 1, 0.

These icons are called digits.

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Per the Merriam-Webster dictionary, a digit is a noun that means:

a written symbol for any kind of of the numbers 0 to 9a finger or toe

Symbol to Reexisting Quantity

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21 clocksWe know that we create that symbol as two digits: 21What is the pattern?

What is the digit pattern?

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You have the right to break this dvery own right into patterns:

How many type of times perform you count 10 on your fingers? 2 times, or 2 counts of 10 clocks.What is remaining? Tright here is 1 clock continuing to be.Now let’s formulate a mathematical expression.2 counts of 10 is the very same as 2 x 10.1 continuing to be is the exact same as 1 x 1.We have a details number of items. Here these items are clocks.We desire to identify the amount of clocks by counting them.Show just how a decimal number is a symbol supplied to recurrent the quantity of somepoint. Here, the symbols are clocks.Then, we start breaking it dvery own right into positional notation.Convert that into base-10.If we have actually 2 x 10 then we have the right to say that there are 2 tens.Using Base-10, “tens” is represented by 10 to the power of 1, as that amounts to 10.As such, we deserve to say 2 x 101 which amounts to 20.If we have 1 x 1, then we can say tright here are 1 ones.Using Base-10, “ones” is stood for by 10 to the power of 0, as that amounts to 1.Thus, we have the right to say 1 x 100 which equates to 1.We simply developed a symbol set to recurrent 21 clocks.

Decimal Number System Base-10

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