๐ข Place Value to 10,000
4-digit numbers have Thousands, Hundreds, Tens, Ones from left to right
โถ Play Door 1Thousands, Hundreds, Tens, Ones
In a 4-digit number we have four place values:
โข Thousands = groups of 1,000
โข Hundreds = groups of 100
โข Tens = groups of 10
โข Ones = leftover units
Example: 3,527 = 3 thousands + 5 hundreds + 2 tens + 7 ones
Worked example
Problem: How many thousands are in 8,492?
- The digit in the thousands place is 8.
- So there are 8 thousands = 8,000.
Answer: So there are 8 thousands = 8,000.
Rounding to Nearest 10, 100, 1000
Rounding rules:
โข Identify the place you are rounding to
โข Look at the digit one place to the right
โข If it is 0-4, round down (keep the digit, change rest to 0)
โข If it is 5-9, round up (increase the digit by 1, change rest to 0)
Worked example
Problem: Round 4,783 to the nearest 10.
- Look at ones digit: 3.
- Since 3 < 5, round down.
Answer: 4,780.
Comparing and Ordering 4-Digit Numbers
Compare 4-digit numbers starting from the leftmost digit:
โข Compare thousands first
โข If equal, compare hundreds
โข If equal, compare tens
โข If equal, compare ones
Use symbols: < (less than), > (greater than), = (equal to)
Worked example
Problem: Compare: 5,432 ___ 5,429
- Thousands: both 5.
- Hundreds: both 4.
- Tens: both 2.
- Ones: 2 vs 9.
- Since 2 5,429.
Answer: Since 2 5,429.