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Numbers in the ten thousands

Place value & large numbers

Japanese school year: Elementary 3

What you learn

Students learn how to read, write, and understand numbers in the ten-thousands place, using ten thousand as a new unit. These numbers are commonly used for describing city populations or prices of electronics. Familiarity with numbers up to 10,000 and the decimal place-value system provides the necessary background.

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Key points

This equation shows how 100000100000 (one hundred thousand) is formed in base-10. Ten groups of 1000010000 make 100000100000; multiplying by 1010 shifts the value one place to the left.

10×10000=10000010 \times 10000 = 100000

This equation shows the relationship between thousands and 1000010000. Ten groups of 10001000 carry over to form 1000010000.

10000=10×100010000 = 10 \times 1000

This rule explains how to read numbers ten thousand and above. Within the myriad group, the four-digit cycle of ones, tens, hundreds, and thousands repeats as 11, 1010, 100100, and 10001000 ten-thousands.

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