# Expansion Form of Numbers

#### definition

Expansion of numbers: The expansion of numbers refers to the number to see the value of each digit.

# Expansion Form of Numbers:

The expansion of numbers refers to the number to see the value of each digit.

### Expansion

58 Fifty-eight

58 = 50 + 8 = 5 × 10 + 8

259

Two hundred and fifty-nine

259 = 200 + 50 + 9 = 2 × 100 + 5 × 10 + 9.

5638

Five thousand, six hundred and thirty-eight

5638 = 5000 + 600 + 30 + 8 = 5 × 1000 + 6 × 100 + 3 × 10 + 8.

45278

Forty five thousand, two hundred and seventy-eight

45278 = 4 × 10000 + 5 × 1000 + 2 × 100 + 7 × 10 + 8.

• The expansion of a 2-digit number like 58 as 58 = 50 + 8 = 5 × 10 + 8
• The expansion of a 3-digit number like 259 as 259 = 200 + 50 + 9 = 2 × 100 + 5 × 10 + 9.
• The expansion of 5638 is 5638 = 5000 + 600 + 30 + 8 = 5 × 1000 + 6 × 100 + 3 × 10 + 8
Here, 8 is at one's place, 3 is at ten's place, 6 is at a hundred's place and 5 is at a thousand's place.
• With the number 10,000 known to us, we may extend the idea further.
We may write 5-digit numbers like 45278 = 4 × 10000 + 5 × 1000 + 2 × 100 + 7 × 10 + 8.
We say that here 8 is at one's place, 7 at ten's place, 2 at hundred's place, 5 at thousand's place, and 4 at ten thousand's place. The number is read as forty-five thousand, two hundred seventy-eight.
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Number Name and Number Expansion Part 2 [00:18:06]
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