Carry ten units to the next place

4.NBT.A.24.NBT.A.1 · take · grade 4

Archetype: Place-Value Regrouping · step in a 7-type progression

▶ Practice — 12 problems

Find the digit $\blacksquare$ , where $\blacksquare$ is one of the numbers from $0$ to $9$ .

In $7545$ , there are $7$ thousands, $\blacksquare$ hundreds, $4$ tens, and $5$ ones.

Show solution

Understand

In the number 7545, written as 7 thousands, ■ hundreds, 4 tens, and 5 ones, find the missing digit ■.

Givens

The number is 7545.
It is described as 7 thousands, ■ hundreds, 4 tens, and 5 ones.
■ is a single digit from 0 to 9.

Unknowns

The hundreds digit ■.

Constraints

Each place value digit is 0 through 9.

Plan

#1 Draw a Diagram · also uses: #5 Look for a Pattern

Reading a number by its place values is a direct place-value chart task, so I line up the digits of 7545 with the thousands, hundreds, tens, and ones positions to read off the hundreds digit.

Execute

#1 Draw a Diagram 4.NBT.A.1

Write 7545 in a place-value chart: the 7 is in the thousands place, the first 5 is in the hundreds place, the 4 is in the tens place, and the last 5 is in the ones place.

7545 = 7000 + 500 + 40 + 5

Each digit's spot in the number tells you exactly which place it counts, like columns on a chart.

#5 Look for a Pattern 4.NBT.A.2

The digit sitting in the hundreds place is 5, so 7545 has 5 hundreds. That means ■ = 5.

\blacksquare = 5

The hundreds count is simply the digit in the hundreds column.

Answer: 5

Review

Rebuild the number: 7 thousands + 5 hundreds + 4 tens + 5 ones = 7000 + 500 + 40 + 5 = 7545, which matches, so ■ = 5 is correct.

Subtract the known parts: 7545 minus 7000 (thousands), 40 (tens), and 5 (ones) leaves 500, which is 5 hundreds.

Standards · min grade 4

4.NBT.A.1 Recognize that a digit represents ten times what it represents in place to its right — Understanding the thousands, hundreds, tens, and ones place groupings of the number.
4.NBT.A.2 Read and write multi-digit whole numbers and compare using symbols — Reading the hundreds digit directly from the four-digit number.

💡 Each digit lives in its own place column, so the hundreds count is just the digit standing in the hundreds spot!