# How many zeros in 1000

## The natural numbers and their representation

### Numbers:

N = {1,2,3,4,5,6 .....} set of natural numbers

N0 = {0,1,2,3,4,5 .....} set of natural numbers with zero

### Place value system:

In the place value system, each digit is assigned a value in a number according to the position in which it is located.

In the number 1832, the number 1 is the "thousands", the 8 is the "hundreds", the 3 is the "tens" and the 2 is the "one".

### Large numbers, powers of ten:

Pronounced means:

1000 = thousand

1,000,000 = million (6 zeros)

1 000 000 000 = billion (9 zeros)

1 000 000 000 000 = trillion (12 zeros)

Powers of ten are used for large numbers.

10² = 10 • 10 = 100

10³ = 10 • 10 • 10 = 1000

10^{6} = 10 • 10 • 10 • 10 • 10 • 10 = 1 000 000

10^{12} = 1,000,000,000,000 = trillion

10^{15} = Billiards

10^{18} = Trillion

Numbers like 10, 100, 1000, 10,000 etc. are called step numbers.

### Other large numbers can be written like this:

6,000,000 = 6 • 106 (6 million)

250,000,000,000 = 25 • 1010 = 250 • 109 (250 billion)

### Round:

After the digit to be rounded to, the digit 0,1,2,3 or 4 will be

rounded down, otherwise rounded up.

So 54,329 rounded to tens of thousands: 50,000, rounded to thousands: 54,000.

### Representation of the natural numbers:

Tables or charts are used to clarify data. The following example shows the population in thousands of the city of Dresden in different ways.

Table:

year | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |

Population time in thousands | 388 | 410 | 423 | 470 | 475 | 510 |

Pie chart

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