Whole Numbers and Integers: Background You’ll Need 1

  • Translate between numbers and words

Translating numbers to their word equivalents and vice versa is an essential skill that helps us understand and communicate numerical information more effectively. Whether you are dealing with small or large numbers, being able to convert between numerical and written representations is a valuable skill in various fields, including mathematics, finance, computer science, and everyday life.

Count to Ten

The following are the numbers between [latex]0[/latex] and [latex]9[/latex] and how the numbers are spelled in the English language. This is called the ones place.

  • [latex]0[/latex] – Zero
  • [latex]1[/latex] – One
  • [latex]2[/latex] – Two
  • [latex]3[/latex] – Three
  • [latex]4[/latex] – Four
  • [latex]5[/latex] – Five
  • [latex]6[/latex] – Six
  • [latex]7[/latex] – Seven
  • [latex]8[/latex] – Eight
  • [latex]9[/latex] – Nine

Count by Tens

Similarly to the numbers from 0 to 9, we can count by tens. The following are a list of numbers counting by [latex]10[/latex] from [latex]0[/latex] to [latex]100[/latex] and how they are spelled in the English language. This is called the tens place.

  • [latex]0[/latex] – Zero
  • [latex]10[/latex] – Ten
  • [latex]20[/latex] – Twenty
  • [latex]30[/latex] – Thirty
  • [latex]40[/latex] – Forty
  • [latex]50[/latex] – Fifty
  • [latex]60[/latex] – Sixty
  • [latex]70[/latex] – Seventy
  • [latex]80[/latex] – Eighty
  • [latex]90[/latex] – Ninety
  • [latex]100[/latex] – One hundred

Count by Hundreds

We can also count by hundreds. The following are a list of numbers counting by [latex]100[/latex] from [latex]0[/latex] to [latex]1,000[/latex] and how they are spelled in the English language. This is called the hundreds place.

  • [latex]0[/latex] – Zero
  • [latex]100[/latex] – One hundred
  • [latex]200[/latex] – Two hundred
  • [latex]300[/latex] – Three hundred
  • [latex]400[/latex] – Four hundred
  • [latex]500[/latex] – Five hundred
  • [latex]600[/latex] – Six hundred
  • [latex]700[/latex] – Seven hundred
  • [latex]800[/latex] – Eight hundred
  • [latex]900[/latex] – Nine hundred
  • [latex]1,000[/latex] – One thousand

Count by Thousands

After understanding the hundreds place, we can move on to the thousands. The following are a list of numbers counting by [latex]1,000[/latex] from [latex]1,000[/latex] to [latex]10,000[/latex]. This is called the thousands place. Here’s how these numbers are spelled in English:

  • [latex]1,000[/latex] – One thousand
  • [latex]2,000[/latex] – Two thousand
  • [latex]3,000[/latex] – Three thousand
  • [latex]4,000[/latex] – Four thousand
  • [latex]5,000[/latex] – Five thousand
  • [latex]6,000[/latex] – Six thousand
  • [latex]7,000[/latex] – Seven thousand
  • [latex]8,000[/latex] – Eight thousand
  • [latex]9,000[/latex] – Nine thousand
  • [latex]10,000[/latex] – Ten thousand

Combining Places

Numbers between these thousands can be formed by combining the thousands place with the hundreds, tens, and ones places you’ve already covered. For example:

  • [latex]1,234[/latex] – One thousand two hundred thirty-four
  • [latex]2,345[/latex]– Two thousand three hundred forty-five
  • [latex]5,678[/latex] – Five thousand six hundred seventy-eight
  • [latex]7,890[/latex] – Seven thousand eight hundred ninety
  • [latex]9,101[/latex] – Nine thousand one hundred one

Numbers go on forever to infinity, but for this lesson we are only going to focus on the numbers between [latex]0[/latex] and [latex]10,000[/latex].

With this information, let’s try and convert numbers to words.

Convert the number [latex]524[/latex] to words.

Now lets practicing converting from the words to numbers.

Convert three hundred seventy-two to a number.