Value of a digit
A digit is like an actor: its value changes depending on the place it stands in. The same digit can mean 7, 70, 700, or 7,000!
Concept
Think of place value like apartment floors in a tower. š¢ **Digit Tower:** In the number **472,915**: - 4 lives in the hundred-thousands place ā value is **400,000** - 7 lives in the ten-thousands place ā value is **70,000** - 2 lives in the thousands place ā value is **2,000** - 9 lives in the hundreds place ā value is **900** - 1 lives in the tens place ā value is **10** - 5 lives in the ones place ā value is **5** š **Same digit, different value:** Compare these: - In 3,**6**4, the 6 = 60 - In **6**,304, the 6 = 6,000 - In 94,2**6**8, the 6 = 60 š **Rule:** Value of a digit = digit Ć place value. If the place changes, the value changes!
Try it
Math detectives, find the value! 1. In 58,321, what is the value of the digit 8? 2. In 904,776, what is the value of the digit 9? 3. In 160,045, what is the value of the digit 6? 4. In 83,092, what is the value of the digit 3? 5. In 7,500,004, what is the value of the digit 5? š§© Challenge: 6. Write a number where 3 has a value of 30,000. 7. Write a different number where 3 has a value of 300. 8. In 222,222, explain how each 2 has a different value.