In the information society. communication is everything, In order to communicate information, we have to speak the same language and use the same vocabulary.

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Our number system in a base -10 place-value system. We use 10 different digits to form all the numbers. The value of the digit depends on which place it is in.

**Period** – A grouping of three palces in the place-value chart. Each period has a ones place (O), a tens place(T), and a hundreds place (H).

**Standard Form** – A number written with digits.

124

614,900

70,142, 859

**Word form** – A number written with words.

One hundred twenty-four

Six hundred fourteen thousand, nine hundred

Seventy million, one hundred forty-two thousand, eight hundred fifty-nine.

**Expanded form** – A number written as the sum of its place values.

124 = 100 + 20 + 4

614,900 = 600,000 + 10,000 + 4,000 + 900

70,142, 859 = 70, 000, 000 + 100,000 + 40,000 + 2,000 + 800 + 50 + 9

Sometimes expanded form is written this way to show the place values even more clearly:

614,900 = 6 x 100,000 + 1 x 10,000 + 4 x 1,000 + 9 x 100

**about expanded form** – it doesn’t come up very often in everyday life. Expanded form helps kids understand the amazing idea of place value and the role of zero as a placeholder.

Now. Let’s practice

Write each number in word form.

1. 3,004 2. 5,700,054 3. 37,000,416

Write each number in standard form.

4. Seventy-five thousand 5. sixteen million, thirty-four

Write each number in expanded form.

6. 45,700 7. 190, 063 8 5,009,802