Steply

Compare and order whole numbers

Elementary · 20 problems, easy to harder

▶ Watch the first one solved

How we do it

  1. Line up the places
  2. Compare from the left
  3. Write it with a sign
  4. Check

The steps for Compare 352 and 325. Every solution names its steps, so you always know what comes next.

Worked examples

Compare 352 and 325 Easy

The question

Question: compare 352 and 325.

Compare 352 and 325

1 Line up the places

We line up the ones under the ones, the tens under the tens, and so on.

2 Compare from the left

352 and 325 are the same in the first place.

Look at the tens: 5 is more than 2.

So 352 is greater than 325.

352 > 325

3 Write it with a sign

So 352 > 325.

= 352 > 325

4 Check

On a number line, smaller numbers are to the left.

Left to right: 325, 352.

The same order.

Yes!

It works.

left to right: 325, 352

Let's look back.

First: line up the places.

Then: compare from the left.

Then: write it with a sign.

Last: check.

Answer
= 352 > 325

▶ Watch it solved

Compare 4,099 and 4,109 Medium

The question

Question: compare 4,099 and 4,109.

Compare 4,099 and 4,109

1 Line up the places

We line up the ones under the ones, the tens under the tens, and so on.

2 Compare from the left

4,109 and 4,099 are the same in the first place.

Look at the hundreds: 1 is more than 0.

So 4,109 is greater than 4,099.

4,109 > 4,099

3 Write it with a sign

So 4,099 < 4,109.

= 4,099 < 4,109

4 Check

On a number line, smaller numbers are to the left.

Left to right: 4,099, 4,109.

The same order.

Yes!

It works.

left to right: 4,099, 4,109

Let's look back.

First: line up the places.

Then: compare from the left.

Then: write it with a sign.

Last: check.

Answer
= 4,099 < 4,109

▶ Watch it solved

Order 999, 1,001, 990 Harder

The question

Question: put 999, 1,001, 990 in order, from least to greatest.

Order 999, 1,001, 990

1 Line up the places

We line up the ones under the ones, the tens under the tens, and so on.

2 Compare from the left

1,001 has more digits than 999.

More digits means bigger.

So 1,001 is greater than 999.

1,001 > 999

999 and 990 are the same in the first 2 places.

Look at the ones: 9 is more than 0.

So 999 is greater than 990.

999 > 990

3 Write them in order

From least to greatest: 990 < 999 < 1,001.

= 990 < 999 < 1,001

Careful!

999 has big digits, but fewer of them.

A number with more digits is bigger.

Careful: more digits = bigger number

4 Check

On a number line, smaller numbers are to the left.

Left to right: 990, 999, 1,001.

The same order.

Yes!

It works.

left to right: 990, 999, 1,001

Let's look back.

First: line up the places.

Then: compare from the left.

Then: write them in order.

Last: check.

Answer
= 990 < 999 < 1,001

▶ Watch it solved

Practice

Try each one, then open the answer. Stuck? Open the problem to watch every step.

Easy

  1. compare 352 and 325
    Answer
    = 352 > 325
  2. compare 410 and 401
    Answer
    = 410 > 401
  3. compare 999 and 1,002
    Answer
    = 999 < 1,002
  4. compare 607 and 670
    Answer
    = 607 < 670
  5. compare 275 and 257
    Answer
    = 275 > 257
  6. order 352, 325, 532
    Answer
    = 325 < 352 < 532
  7. order 128, 821, 218
    Answer
    = 128 < 218 < 821

Medium

  1. compare 4,099 and 4,109
    Answer
    = 4,099 < 4,109
  2. compare 2,350 and 2,305
    Answer
    = 2,350 > 2,305
  3. compare 12,400 and 12,040
    Answer
    = 12,400 > 12,040
  4. compare 806 and 860
    Answer
    = 806 < 860
  5. order 1,205, 1,250, 1,025
    Answer
    = 1,025 < 1,205 < 1,250
  6. order 645, 564, 456 from greatest to least
    Answer
    = 645 > 564 > 456
  7. order 3,071, 3,701, 3,017
    Answer
    = 3,017 < 3,071 < 3,701
  8. order 2,468, 2,486, 2,648 from greatest to least
    Answer
    = 2,648 > 2,486 > 2,468

Harder

  1. order 999, 1,001, 990
    Answer
    = 990 < 999 < 1,001
  2. order 45,300, 45,030, 54,300 from greatest to least
    Answer
    = 54,300 > 45,300 > 45,030
  3. compare 100,000 and 99,999
    Answer
    = 100,000 > 99,999
  4. order 7,654, 7,645, 7,564, 7,546
    Answer
    = 7,546 < 7,564 < 7,645 < 7,654
  5. compare 1,000,000 and 999,999
    Answer
    = 1,000,000 > 999,999