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Grade 4 (age 9-10)

Large Numbers

Large Numbers

A big number like ten thousand becomes easy once you know place value. From the right come ones, tens, hundreds, thousands, and ten-thousands, and every 10 moves up one place. A 5 in the ten-thousands place means 50000, since the same digit is worth more in a higher place. On this page you change the number to read the place-value chart and compare two numbers with bars.

Numbers Beyond 10,000
🏙️ Why we need large numbers
①School has hundreds of students
②Town has tens of thousands of people
③Korea has about 50 million people
④You need to read and write large numbers!
Understanding Place Value
23456
💡 Reading Place Values
①From right: ones, tens, hundreds, thousands, ten-thousands
②23456 → "twenty-three thousand four hundred fifty-six"
③Digit × place value = the value of that place
④10 of one place becomes 1 of the next!
Comparing Number Sizes
34500
34200
⚖️ How to Compare Large Numbers
①More digits → bigger number
②Same digits → compare from the highest place
③If ten-thousands match, compare thousands; then hundreds...
Summary
Place-value System
Ones → Tens → Hundreds → Thousands → Ten-thousands
Every 10 moves up one place
Comparing Numbers
Compare from the highest place!
Same digits → ten-thousands → thousands → hundreds...
Skip Counting
By 10s, 100s, 1000s, 10000s
Skip counting makes large numbers easy
🎯 Key Points
①10,000 = man, 1,000 = cheon, 100 = baek
②Group by 4 digits from the right
③Compare from the highest place!
④10 collected → 1 in the next place
⑤Large numbers are easy by place value
Examples and Unit Test
Example 1
In 52037, what is the digit in the ten-thousands place, and what value does it represent?
1
From the right: ones, tens, hundreds, thousands, ten-thousands. The ten-thousands digit is 5.
2
The 5 in the ten-thousands place represents 5 × 10000 = 50000.
▸ Digit 5, value 50000
The same digit represents a different value depending on its place.
Example 2
Which is greater, 34500 or 34200?
1
They have the same number of digits, so compare from the highest place. Both are 34 down to hundreds.
2
Comparing the hundreds: 5 > 2, so 34500 is greater.
▸ 34500 (34500 > 34200)
For numbers with the same number of digits, compare from the highest place.
Unit Test
What number is made of 4 ten-thousands, 7 thousands, and 2 hundreds?
①4720
②40720
③47200
④47020
▸ ③ 47200
1
4 ten-thousands = 40000, 7 thousands = 7000, 2 hundreds = 200.
2
40000 + 7000 + 200 = 47200.
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Fraction Add & Sub