Understand Three-Digit Numbers as Hundreds, Tens, and Ones

Students will decompose three-digit numbers into their hundreds, tens, and ones components. They will use base-ten blocks, place value charts, and written notation to show the value of each digit in a three-digit number.

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Real questions from this skill, graded here. No account, and nothing is saved.

Grade 2 · Understanding Place Value to 1000 · question 1 of 3

0 of 12

12 rungs. A star at the top.

What is the tens digit of three hundred five?

How it is taught

0:00 of 2:12

Each digit has a place: hundreds, tens, and ones.

A 0 can hold a place with nothing in it.

Read it: Hundreds, tens and ones

640 in a chart: 6 chips of 100, 4 chips of 10 and 0 chips of 1. So 640 is 6 hundreds, 4 tens and 0 ones.

Put each place in its own column: hundreds, tens, ones.
Count the chips in each column: 6, 4 and 0.
Write the digits in that order: 640.

A chip of 100 is worth 10 chips of 10, and a chip of 10 is worth 10 chips of 1.

Each digit tells how many chips are in its place.

A 0 holds an empty place: 640 has no ones, and 305 has no tens.

Each digit tells how many hundreds, tens or ones. 10 of a place make 1 of the next.

Reading 640 as 64, because the ones place is empty.

The 0 holds the ones place: 6 hundreds, 4 tens and 0 ones is 640.

507 = ___ hundreds, 0 tens, 7 ones — 5. 507 has 5 chips of 100 in the hundreds place: 5.

354 = 300 + 50 + 4

Every digit in a number has a job. Let's break the number three hundred fifty-four into hundreds, tens, and ones.

Here's our number — three hundred fifty-four. Three digits, each in its own special spot.

Look at the first digit, three. It sits in the hundreds place — the spot farthest from the right.

Three in the hundreds place means three hundreds, which is three hundred.

Next is the five, sitting in the tens place.

Five tens make fifty.

Last is the four, in the ones place — the smallest spot.

Four ones is just four.

Put it all together: three hundred plus fifty plus four.

So three hundred fifty-four is three hundreds, five tens, and four ones. That's place value!

Grade 2 · Hundreds, tens, and ones in 354

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics

Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal: 1 star — one skill mastered, every rung of its ladder climbed
Climbing now: Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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Standards

CCSS.2.NBT.A.1

Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones

CCSS.2.NBT.A.1b

The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones)

Grade 2

Quoted from the Common Core State Standards.

Where this sits

Comes after

Understand a Hundred as a Bundle of Ten Tens

Leads to

What a star here means

A star here is the top of a twelve-rung ladder, in four blocks of equal length — three of facts and one of the skill used in a real question — where a right answer climbs one rung and a wrong one drops back to the start of the block, never below it. The star is kept for good. How we grade

All of Grade 2

This is one rung of 85 in Grade 2 mathematics, in the order they build on each other.

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