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Billion: Definition and Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">BillionBillion: Definition and ExamplesTable of ContentsUnderstanding Billions in Mathematics Definition of a Billion

A billion is a numerical value equal to 1,000,000,0001,000,000,0001,000,000,000 or 10910^9109. It's a ten-digit number formed by 111 followed by 999 zeros, and represents one thousand million. It's important to note that the term "billion" has different meanings in different numbering systems. In the short scale system used in the USA, a billion equals 10910^9109 (one thousand million), while in the long scale system used in some European countries, a billion equals 101210^{12}1012 (one million million).

In the international place value chart, billions occupy their own period, coming after the ones, thousands, and millions periods. Each period consists of three positions or place values. When we place 111 billion in the place value chart, we can see it occupies the billions place. There's a helpful trick to remember the number of zeros in a billion: you can think of it as three groups of three zeros (103×103×103=10910^3 \times 10^3 \times 10^3 = 10^9103×103×103=109), giving you nine zeros in total.

Examples of Working with Billions Example 1: Calculating Time to Save a Billion Dollars Problem:

If Jacob saves $50,000\$50,000$50,000 per year, how many years would it take him to become a billionaire?

Step-by-step solution:

Step 1, Know what makes someone a billionaire. A person needs to have one billion dollars ($1,000,000,000\$1,000,000,000$1,000,000,000) to be called a billionaire.

Step 2, Set up a division to find how many years it would take. We need to divide the total amount needed by the yearly savings rate.

Step 3, Calculate the number of years.

1,000,000,00050,000=20,000\frac{1,000,000,000}{50,000} = 20,00050,0001,000,000,000​=20,000

Step 4, Write the answer. Jacob would need to save for 20,00020,00020,000 years to become a billionaire if he saves $50,000\$50,000$50,000 per year.

Example 2: Calculating Revenue Increase to Billions Problem:

A company had a revenue of 2.52.52.5 billion dollars last year. This year, their revenue increased by 20%20\%20%. What is their new revenue?

Step-by-step solution:

Step 1, Write last year's revenue in standard form.

Last year's revenue = 2.52.52.5 billion dollars = $2,500,000,000\$2,500,000,000$2,500,000,000

Step 2, Find the dollar amount of the 20%20\%20% increase.

Increase in revenue = $2,500,000,000×20%=$500,000,000\$2,500,000,000 \times 20\% = \$500,000,000$2,500,000,000×20%=$500,000,000 = 500500500 million dollars

Step 3, Add the increase to the original amount to find the new revenue.

New revenue = $2,500,000,000+$500,000,000=$3,000,000,000\$2,500,000,000 + \$500,000,000 = \$3,000,000,000$2,500,000,000+$500,000,000=$3,000,000,000

Step 4, Write the answer in billions. The company's new revenue is $3\$3$3 billion.

Example 3: Finding the Difference Between Large Numbers Problem:

Find the difference between the smallest ten-digit number and the greatest nine-digit number.

Step-by-step solution:

Step 1, Find the greatest nine-digit number. This would be 999,999,999999,999,999999,999,999.

Step 2, Find the smallest ten-digit number. This is 1,000,000,0001,000,000,0001,000,000,000, which equals 111 billion.

Step 3, Calculate the difference between these two numbers.

Difference =1,000,000,000−999,999,999=1= 1,000,000,000 - 999,999,999 = 1=1,000,000,000−999,999,999=1

Step 4, Write the answer. The difference between the smallest ten-digit number and the greatest nine-digit number is just 111.

Comments(2)VVolleyballPlayerMaxNovember 5, 2025This glossary entry on 'billion' is great! I've used it to explain the concept to my students, and it made the learning so much easier.

FFashionDesignerWaltNovember 4, 2025This glossary def of billion is great! I've used it to explain to my students. Real-world examples made it super easy for them to grasp.

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