Comparing & Ordering Numbers

Skill: comparing-numbers

Comparing & Ordering Numbers

Compare whole numbers with <, >, = and order them like a pro.

1 Count the digits first

More digits usually means a bigger number. 101 has three digits and 99 has two — so 101 is bigger, even though 9 looks “big”.

The comparing rule
1. Count digits  →  2. Compare leftmost place

First count the digits. If the counts match, compare the leftmost place where the digits differ.

Example 1 Different digit counts

99 < 101. Three digits beats two digits.

2 Same digits? Go left to right

When both numbers have the same digits, start at the biggest place and move right until the digits differ.

Example 2 Leftmost difference

456 vs 465: hundreds match (4 = 4), tens differ (5 < 6), so 456 < 465. You can stop there.

Example 3 Hundreds decide

707 vs 699: 7 hundreds beats 6 hundreds, so 707 > 699.

3 The symbols <, >, =

The open mouth always eats the bigger number: 5 > 3. The pointed end hugs the smaller number: 3 < 5.

Example 4 Point at the small one

38 < 83. The point touches 38, the mouth opens to 83.

4 Ordering three or more numbers

Order least to greatest by comparing two at a time: find the smallest first, then the next.

Example 5 Building an order

512, 98, 521: the smallest is 98 (two digits), then 512 < 521, so the order is 98, 512, 521.

5 Common mistakes

Two classic comparing traps.

1. Thinking 99 > 101 because the 9s look bigger

Wrong: 99 > 101.   
Right: count digits first — 101 has three digits, so 99 < 101.

2. Mixing up < and >

Wrong: 45 > 54.   
Right: the open mouth eats the bigger number: 45 < 54.

6 Quick checks

Try these yourself, then reveal the answer.

345 ? 354

Hundreds match; tens 4 < 5, so 345 < 354.

1,000 ? 999

Four digits beats three: 1,000 > 999.

77 ? 77

Identical numbers are =.

7 Key points and vocabulary

Word What it means
Greater than (>) Bigger. The mouth opens to the bigger number.
Less than (<) Smaller. The point touches the smaller number.
Equal (=) The same value.
Compare Deciding which number is bigger using <, >, =.
Order Arranging numbers least to greatest (or reverse).

Remember

  • Count digits first — more digits usually wins.
  • Same digits? Compare the leftmost differing place.
  • The mouth eats the bigger number: 8 > 5.
  • Order by finding the smallest first, then the next.
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