Numbers to 10,000

Japanese school year: Elementary 2

What you learn

Students learn how to read, write, compose, and compare numbers up to 10,000 based on hundreds and thousands. This knowledge is used daily when handling paper money or measuring long distances. A strong grasp of numbers up to 100 and grouping by hundreds makes this topic easy to understand.

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Key points

This equation shows how $10000$ (ten thousand) is formed. Ten groups of $1000$ carry over from the thousands place to the ten-thousands place to make $10000$ .

10 \times 1000 = 10000

This expression decomposes a four-digit integer by its place values. With thousands digit $a$ , hundreds digit $b$ , tens digit $c$ , and ones digit $d$ , it expresses the total value as their sum.

1000a + 100b + 10c + d

This equation shows another way to compose $10000$ . In addition to ten groups of $1000$ , $10000$ can also be understood as $100$ groups of $100$ .

10000 = 100 \times 100

This rule ensures numbers with empty place values (zero) are written correctly. For example, even if a place is not spoken aloud as in "three thousand fifty", you write $0$ in that position ( $3050$ ) rather than skipping it.

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Practice 1Coming soon