Lesson 1ª

WHAT ARE NATURAL NUMBERS?

We call natural numbers to every whole number (those which have no decimals) and every positive number (those which don't have a negative sign in front): 1, 2, 3, 4, 5, 6, 7,………

We can perform operations with natural numbers:

When you subtract or divide, you must be very careful. Sometimes, the results you get might not be natural numbers. For example, when we subtract 6 – 10 = – 4, or when you divide 6 / 10 = 0,6.

We use natural numbers to count: 1, 2, 3, 4,….etc.

Generally, we don't have any problems when dealing with simple numbers.

Write:

1. Five thousand [and] five.
2. (A) One hundred thousand one hundred
3. Four hundred [and] four thousand [and] four.

5.005
100.100
404.004

We could have problems with very large numbers as well as very small numbers.

LARGE NUMBERS:

• In the long scale, a thousand million is called a "Milliard" or 1.000.000.000, and "Billion" is used for a million million or 1.000.000.000.000.

• In the short scale, a thousand million is called a "Billion" or 1.000.000.000, and the word "Milliard" is not used. A "Trillion" equals 1.000.000.000.000.

MEGA equals to 106 (a 1 with six zeros behind it), which is to say, one million (1.000.000).

MILLIARD (in long scale) is the natural number written as: 1.000.000.000 and is read as:   (one) a thousand million or one billion (in short scale).

GIGA equals to 109 (a 1 with nine zeros behind it), or 1.000.000.000.

TERA equals to 1012 or  1.000.000.000.000 (a 1 with twelve zeros behind it). It is read as: one trillion or a thousand billion (in short scale) and as one billion or a million million (in long scale).
Tera is also a river in the province of Zamora.

1.4 Do you know how to write one billion?

1.5 Write one thousand milliards.

1.6 Write one milliard

1.7 Can you read this quantity 1.000.000.000?

1.8 How many milliards are there in a long scale billion?

1.4    1.000.000.000 (short scale) and 1.000.000.000.000 (long scale)

1.5    1.000.000.000.000

1.6    1.000.000.000

1.7     One thousand million or a milliard (long scale)

1.8     One thousand

1.9 How many millions are there in a Billion?

1.10 Is a Billion the same as a Milliard?

1.11 How many Milliards equal a Billion?

1.12 How many thousands make up five million?

1.13 Is it true that a million million equals a Billion?

1.9 A thousand in short scale and a million in long scale.

1.10 A short scale Billion is the same as a Milliard, but not in a long scale.

1.11 A short scale Billion is the same as a Milliard. However, in a long scale, one thousand milliards. A milliard is 1.000.000.000 and one thousand milliards: 1.000.000.000.000

1.12 Five thousand. 5.000 X 1.000 = 5.000.000

1.13 In a long scale, it is: 1.000.000 X 1.000.000 = 1.000.000.000.000. On the other hand, in a short scale it isn't: 1.000.000.000.000 equals a Trillion.

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