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How Many Millions in a Billion?

Sep 21, 2021
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Mathematics is an interesting subject. But that is a very subjective statement someone can make since you may find something easy and interesting while others may find it difficult and boring. No matter who finds it easy or difficult, one thing is sure people often get confused between millions and billions. At times, we lose track of the number of zeros that will come after 1.

How many millions are in a billion? Can you answer that right now? Without using anything? If yes, congratulations! You are a genius. But some people would not be able to do that.

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Let us say you won a lottery worth one billion, or your long-distance uncle asks you to convert a million into a billion to test your knowledge. What would you do? Refer to your mathematics book to check the number of zeros? Or you would start guessing, “How many millions in a billion? How many billions are in a trillion?”

Is it six, seven, eight, or ten zeros after “1” or more? No idea? Worry no more because we are here to break it down for you.

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With this blog, we will talk about all the ins and outs of a million and a billion that will help you remember everything about them. So, get ready to master your ability to count zeroes in a million and a billion and get your basics clear. But before we talk about how many millions in a billion, we need to understand what a million and billion are. Let us start with the definition of number systems.

Number Systems

  • There are many number systems out there that you can use to represent a given number in numerals. For example, we have the Indian number system and the International number system.
  • Both the systems are quite different from each other since they have different expressions and forms for representing numerals.
  • Hence, to convert billions into trillions, you must know both the Indian number system and the International number system.

We can define a numeral system as a number system that represents a mathematical form for consistently expressing the numbers of a given range by using digits or other signs.

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  1. As per the Indian number system, we use terms like thousands, lakhs, and crores.
  2. While in the International number system, on the other hand, we use terms like billion, million, and trillion.

How Much is a Million?

The first step towards getting the answer to how many millions in a billion.

One million is written as 1,000,000, which is equal to one thousand thousand. It is the natural number that comes after 999,999 and before 1,000,001. The word million has been derived from the early Italian millione. It is commonly abbreviated as m. Remember, a million has six zeroes after the 1.

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The word “million” has the same meaning in the short scale and long scale numbering systems. But the larger numbers have different names in the two systems. The mathematical notation of a million is 106. It means that we need to multiply 10 by 10, six times like:

10 × 10 × 10 × 10 × 10 × 10.

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And the answer will be a million.

Sometimes, we use “million” as a metaphor for a very large number. For example, “Not in a million years” and “You’re one in a million.” In the examples, it doesn’t necessarily mean that a million years have passed. It could be less than that.

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Fun Facts About a Million

We have successfully understood everything about a million and have covered the first step of getting the answer to our question: how many millions in a billion? Here are some fun facts:

  • 1,000,000 is also the square of 1000.
  • 1, 000,000 is the cube of 100.

Don’t trust us? Go ahead and multiply 100 by 100 and see what’s the result. You can do the same to find its cube: 100 × 100 × 100.

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What is a Billion?

Now that we have covered the first step towards understanding how many millions in a billion, we are good to start with our next step which is the definition of a billion. But before we move ahead, tell us how many zeroes are there in a million? Kudos to you if you got that right? If not, scroll up a bit to get the answer.

As we keep counting in number systems, we go from 0 to 9, 9 to 99, 100 to 999, and so on. We start getting five-digit, six-digit, and ten-digit numbers, and it keeps going up as we keep counting. A billion is the first and smallest 10-digit number that is formed by a 1 followed by nine zeros.

  • A billion is a very large number that has nine zeros after the 1.
  • It is also known as a thousand million because if you multiply a thousand with a million, you will get a billion as your answer. Try it: 1,000 × 1000,000 = ?

Have you ever heard the word “gigameter?” Well, now you have. The prefix “Giga” in this word refers to billion. It means that 1 gigameter is equal to a billion meters.

Fun Facts About a Billion

  • Billion has two notations. One is 109 which is followed in the American system, including India.
  • The other one is 1012, which means that 1 is followed by 12 zeros, which is followed in many non-American countries like France and Germany.

Technique to Remember Zeroes in Billion

Reading about the definitions of a million and billion is not enough. To answer our question, “how many millions in a billion,” we need to keep in the mind the number of zeros in both figures. Hence, we have to remember the number of zeros in a million and a billion. Here are some points to help you remember this:

  • We have six zeroes in a million.
  • The mathematical notation of a million is 106.
  • There are nine zeros in a billion: 1,000,000,000.
  • The mathematical notation (American) of a million is 109.

We can only convert a million into a billion if we know the number of zeros in both figures. Hence, this step is very important for answering: how many millions in a billion?

How Many Millions in a Billion?

And finally, the moment has arrived when we answer your question: how many millions in a billion. Since we have covered the definitions of a million and a billion, it should not be difficult to convert them into each other. But before we go ahead and break the answer down for you, step-by-step, we want you to try it on your own. Once done, you can match your answer with our solution to see if you were right.

Let us give you some hints to make it easier:

  • Here, we need to convert 1 billion into a million so that we can see how many millions in a billion.
  • To do this, we can either use the fact that 1 billion is equal to 1,000,000,000 and 1 million is equal to 1,000,000 and then do some simple calculations.
  • Or, there is another way: we can simply multiply the given million amount or value by 1000. It will give us the value of 1 billion in million.

Complete Step-by-Step Answer

  1. Here, we will convert 1 billion into millions.
  2. As we discussed above in the definitions of a million and a billion, 1 billion is equal to 1,000,000,000 and 1 million is equal to 1,000,000.

1 million = 1,000,000 and

1 billion = 1,000,000,000

3.Since we need the 1 billion value, we need to multiply 1000 in the equation of 1 million that is: 1 million = 1000000.

4. It will give us the desired value: 1 million×1000 = 1000000×1000

5. Now we will simplify both sides to get the value of 1 billion as, 1000 million = 1000000000

6. Since 1 billion = 1000000000 and 1000 million = 1000000000, we can say that 1 billion = 1000 million.

Therefore, we can say that 1000 million will make 1 billion and 1 billion has 1000 million.

Alternate Method

We can also solve this question by using the relation: 1 billion = 1000 million directly. In this relation,

  1. 1 will be multiplied on both sides to get the value of 1 billion in million as a billion terms is 1.
  2. There is one more direct relationship that we can use to get the required answer for this question: 1 million = 0.001 billion.
  3. A billion terms are 0.001. To convert it into 1 and get the value of 1 billion, we need to multiply it by 1000.
  4. Using both the relations, we will get the same answer that is 1000 million will make 1 billion.

How Many Millions in a Billion: Quick Answer

To convert a million value into a billion value, i.e., to go from million to billion, all you need to do is multiply the million term by 1,000. In other words, there are 1,000 million in a billion. Look below for more clarity.

1,000,000 × 1,000 = 1,000,000,000

It means that if you multiply one million with one thousand, the answer will be one million. Let us say you need to convert four million into billions. In such a case, just multiply it with 1000 like:

4,000,000 × 1,000 = 4,000,000,000

It means that one billion has one thousand million.

Remember

  • There are six zeroes in a million (or two groups of three zeroes).
  • There are nine zeroes in a billion (or three groups of three zeroes).

First Million, Then Billion, What Is Next — A Trillion?

Well, we have already discussed enough to answer our question: how many millions in a billion. After carefully understanding the definitions of a million and a billion, we did some calculations and found our answer. But what if the same uncle asks you to convert a million into a trillion? Or a billion into a trillion? What would you do?

To save the day, we are going to discuss a trillion, too. It will boost your knowledge further give you an edge over others. Some of your friends may not know about a trillion, but you will. So get ready to learn about a trillion and show off a little bit.

What is a Trillion?

One trillion is written as 1,000,000,000,000 in which the number “1” is followed by 12 zeroes Its mathematical notation is 1012. You can remember it as 4 groups of 3 zeros after the 1.

How Many Billions in a Trillion?

  1. As we discussed in the definition of a trillion, one trillion is written as 1,000,000,000,000 in the International number system. It has 12 zeros after the 1.
  2. Also, we know that one billion is written as 1,000,000,000. It has 9 zeroes after the 1.
  3. If we multiply 1000 with one billion, the answer will be one trillion. See below:

One thousand × One Billion = One Trillion

1000 × 1,000,000,000 = 1,000,000,000,000

It means that there are one thousand billion in one trillion.

One trillion = One thousand billion

How Many Billions in a Trillion: Quick Answer

As we solve above and found that there are 1,000 million in a billion, there are 1,000 billion in a trillion.

1,000,000,000 × 1,000 = 1,000,000,000,000

Don’t get confused by so many zeroes. Remember the tricks that we have discussed:

  • There are nine zeroes in a billion (or three groups of three zeroes).
  • There are 12 zeroes in a trillion (or four groups of three zeroes).

How Many Crores in a Trillion?

In the given question, we need to convert a number from one number system to another. Here is the complete step-by-step answer:

  1. As we discussed in the definition of a trillion, one trillion is written as 1,000,000,000,000 in the International number system. It has 12 zeros after the 1.
  2. Now, we have to convert the number one trillion into the Indian number system.
  3. In the Indian number system, 1 crore is equal to 1,00,00,000. It has seven zeroes after the 1.
  4. To find out the number of crores in one trillion, we need to divide one trillion by one crore.

1000000000000/10000000 = 100000

Hence, we can see that after dividing one trillion by one crore, the answer is 1,00,000. It means that there is 1,00,000 crore in one trillion.

One trillion = Ten thousand crore

Million to Billion to Trillion: Comparison

When we deal with numbers, it becomes difficult to remember them all. And when we talk about big numbers like a million, billion, and trillion, it becomes even hard. To this point, we have already talked about the definitions of these three big numbers. We also converted them into each other through some calculations and found our answer to how many millions in a billion.

Now, it is time for some revision, and make some short but crisp notes to help you remember them all. We are going to compare all three — a million, billion, and trillion — with some fun facts that will make the process of remembering them easy for you.

One Million

  • One million is one thousand thousand.
  • If you stacked one million pennies on top of each other, trying to make a big tower, it would go as high as a mile.
  • If we decide to divide a million dollars between the total population of the United States, each person would get around ⅓ of one cent.

One Billion

  • One billion is one thousand million.
  • If you stacked one billion pennies on top of each other, trying to make a big tower, it would go as high as 870 miles.
  • If we decide to divide a billion dollars between the total population of the United States, each person would get around $3.33.

One Trillion

  • One trillion is one thousand billion.
  • If you stacked one trillion pennies on top of each other, trying to make a big tower, the tower would go as high as 870,000 miles. It means that your tower would reach the moon and back and back to the moon again.
  • If we decide to divide a trillion dollars between the total population of the United States, each person would get around $3,000.

The population of the United States is 32.82 crores. Now convert it into a million, billion, and a trillion. You know everything you need. Once done, verify the statements we made above. Do your answers match ours?

Difference Between Billion, Million, and Trillion

In a number system, the counting always goes up in increasing order. So, the increasing order here is million, billion, and trillion. That means,

  • We get a billion when we multiply 1000 by million
  • We get a trillion when we multiply 1000 to a billion.

Points to Remember About a Million

  • A million is a thousand times a thousand.
  • It can be written as 1,000 × 1,000 = 1,000,000.
  • In scientific notation, it is represented as 1 × 106.
  • In simple words, it has 6 zeroes.

Points to Remember About a Billion

  • A billion is a thousand times a million.
  • It can be written as 1,000 × 1,000,000 =1,000,000,000.
  • In scientific notation, it is represented as 1 × 109.
  • In simple words, it has 9 zeroes.

Points to Remember About a Trillion

  • A trillion is a thousand times a billion.
  • It can be written as 1,000 × 1,000,000,000 =1,000,000,000,000.
  • In scientific notation, it is represented as 1 × 1012.
  • In simple words, it has 12 zeroes.
PointOne MillionOne BillionOne Trillion
DefinitionA million is a thousand times a thousand.A billion is a thousand times a million.A trillion is a million times a million.
Written Form1,000 × 1,000 = 1,000,000.1,000 × 1,000,000 =1,000,000,000.1,000,000 × 1,000,000 =1,000,000,000,000.
Scientific Notation1 × 1061 × 1091 × 1012
Number of Zeros6 zeroes9 zeroes12 zeroes

Solved Example on Billion

Question: How Much is 1 Billion Dollars in Rupees?

To solve this question, you need to use all the knowledge you have gathered about a million and a billion from this article. We will solve this step by step. You can solve it on your own and then can match the answer and procedure with ours. Let us get started!

Some Key Points:

  • In Indian rupees, one billion is equal to 10,000 lakhs.

One billion = Ten thousand lakhs × 1,00,000

1,000,000,000 = 10,000

  • We need to convert the American number system into the Indian number system:

From dollars to Indian rupees

Step 1: One Billion in Rupees

Currently, 1 dollar = 73.45 rupees

Value of 1 billion in rupees = 1,000,000,000 rupees

To get the value of 1 billion dollars in rupees, we need to multiply one billion with 73.45. Look below:

1,000,000,000 x 73.45 =7.34 x 1010 Indian Rupees

Similarly, if we ask you to convert 5 billion dollars into Indian rupees, you can follow the same process:

5 billion dollars in rupees =73.45 x 5,000,000,000 = 367 x 1011

Step 2: Converting the American number system into the Indian number system

1 billion in rupees = 1,000,000,000 Rupees

We know that 1 lakh = 1,00,000

So, we can write one billion as:

1 Billion = 10,000 Lakhs (Just divide one billion by one lakh)

It means that one billion in lakhs is equal to 10,000 lakhs.

One billion = Ten thousand lakhs

Practice Questions on Billion

Try these questions to test your knowledge:

  • How many millions are there in a billion?
  • How many billions are there in a million?
  • How many lakhs are there in a trillion?
  • How many crores are there in a billion?
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