Problem
Carry ten units to the next place
7545 is 7 thousands, ■ hundreds, 4 tens, and 5 ones. What digit is ■?
Base-ten numbers
Your answer
(hundreds digit)
Watch out The digit 5 sits in both the hundreds and the ones place — read the hundreds one
How to solve
1STEP 1
Line up each digit with its place
Break 7545 into 7000 + 500 + 40 + 5 — each digit lives in a different place.
7545 = 7000 + 500 + 40 + 5
Each place is worth ten of the place on its right: ten ones make one ten, ten tens make one hundred. Counting ones, then tens, then hundreds lands the hundreds two steps left of the ones.
Place Value ChartFour Digit Numbers4.NBT.A.1The 5 sitting in the hundreds place of 7545 counts exactly 5 hundreds.
Why?
Where a digit sits decides how much it is worth, and the spot third from the right is the hundreds spot, so the 5 written there counts 5 hundreds.
Why?
That spot is the hundreds spot because each place is worth ten of the place on its right — ten ones make one ten and ten tens make one hundred — so counting ones, then tens, then hundreds lands the hundreds two steps left of the ones.
🧱Place-value groupingTen ones make one ten and ten tens make one hundred — each place bundles ten of the last.
2STEP 2
Read the hundreds place
The digit standing in the hundreds column is 5 — so 5 hundreds, ■ = 5.
■ = 5
Where a digit sits decides its worth. The spot third from the right is the hundreds spot, and a 5 sits there, so that 5 counts exactly 5 hundreds.
Look For Pattern4.NBT.A.2Four Digit NumbersAnswer
5 (hundreds digit)
7000 + 500 + 40 + 5 = 7545
Check — 7 thousands + 5 hundreds + 4 tens + 5 ones = 7000 + 500 + 40 + 5 = 7545, exactly.
Takeaway
Each digit lives in its own place column. The number of hundreds is just the digit in the hundreds place.
- Expand 7545 by place
- Third from the right = hundreds place
- That digit 5 = ■
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