# Make 120 with 5 zeros

### Just count it

*one two three four,*... how far can you count?

Can you count in other languages too?

Can you write the numbers too? As a word and / or as a number?

### Numbers, numbers and more numbers

All around you you will find numbers: your age, your phone number, the number of your siblings, the time, the odometer in the car, prices, population figures, etc.

Numbers bring order to the world.

Mathematicians call these numbers **natural numbers** .

The set of natural numbers is unlimited: $$ NN = {0, 1, 2, 3, 4,…} $$

Some books differentiate between $$ NN = {1, 2, 3, 4,…} $$ and $$ NN_0 = {0, 1, 2, 3, 4,…} $$.

### Predecessor and successor

The **predecessor** is the number that came directly before the given number when counting, i.e. the number one smaller.

**Example:**

3 is the predecessor of 4,

56 is the predecessor of 57,

1 345 678 is the predecessor of 1 345 679

The **successor** is the number that comes next after the given number when counting, i.e. the number that is one larger.

**Example:**

5 is the successor to 4,

58 is the successor to 57,

1 345 680 is the successor to 1 345 679

Predecessor - number - successor

All natural numbers have exactly one **successor**.

All natural numbers except the smallest natural number have exactly one **predecessor**.

### The system of ten

For writing **numbers** let's use the **Digits** 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. With this you can write any number. Why?

We write our numbers in **Decimal system**. There are 10 *One* to a *Tens* combined, 10 tens to one *Hundreds*, 10 hundreds to one *Thousands* etc.

The **number** So 3 333 consists of 3 thousands, 3 hundreds, 3 tens and 3 ones, but is only used with the **Digit** 3 written.

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### Sooo many zeros

### Names for large numbers

1 million (million) = 1,000 thousand = 1,000,000

1 billion (billion) = 1,000 million = 1,000,000,000

1 trillion (trillion) = 1,000 billion = 1,000,000,000,000

1 trillion = 1,000 trillion = 1,000,000,000,000,000

1 trillion = 1 000 trillion = 1 000 000 000 000 000 000

It's best to remember the number of zeros in large numbers:

Thousand: 3 zeros

Million: 6 zeros

Billion: 9 zeros

Billion: 12 zeros

Be careful when translating English numerals:

German | English |
---|---|

million | million |

billion | billion (also: thousand million) |

trillion | trillion (also: million million) |

### The place value table

You can write large numbers on a place value board for a better overview:

**Example:**

The number word *fifteen million four hundred and sixty thousand* as a number: 15,460,000

In order to be able to read large numbers better without a place value table, write them in packs of three and leave a small space in between.

1345789 looks like this in a pack of three: 1 345 789

Sometimes you also see points: 1,345,789

You write numbers up to a million in one word.

Example: three hundred and sixty thousand

Numbers over a million are written separately.

Example: two million sixty thousand

The place value table is also called the place value table.

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