Imagine a big house where every room holds hundreds of things! In this chapter we explore numbers more deeply — learning about the hundreds, tens, and ones structure, comparing large numbers, and working with number lines up to 1000.
- Building Numbers with Hundreds
- We can think of a number like a house:
- The ground floor is the ones (0–9)
- The first floor is the tens (10–90)
- The top floor is the hundreds (100–900)
A 3-digit number is built as: H × 100 + T × 10 + O × 1
For example: 4 hundreds + 7 tens + 3 ones = 473
- 1.Comparing Numbers
- 2.To compare two 3-digit numbers:
- 3.Compare hundreds digits first.
- 4.If equal, compare tens digits.
- 5.If still equal, compare ones digits.
Use symbols: > (greater than), < (less than), = (equal to)
Number Line up to 1000
On a number line, numbers increase from left to right. The halfway point between 0 and 1000 is 500.
Rounding to the Nearest 10
- If the ones digit is 5 or more, round up.
- If the ones digit is less than 5, round down.
Example: 47 → rounds to 50 (ones digit 7 ≥ 5, round up)
Example: 63 → rounds to 60 (ones digit 3 < 5, round down)
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Example 1: Building a number
Write the number with 6 hundreds, 0 tens, and 8 ones.
6 × 100 + 0 × 10 + 8 × 1 = 608
Example 2: Comparing numbers
Compare 765 and 756.
Hundreds: 7 = 7. Tens: 6 > 5. So 765 > 756.
Example 3: Number line
Which number is halfway between 300 and 400?
Halfway = (300 + 400) ÷ 2 = 700 ÷ 2 = 350
Example 4: Rounding to nearest 10
Round 384 to the nearest 10.
Ones digit = 4 (less than 5), round down → 380
Example 5: Ordering numbers
Arrange 528, 582, 258, 825 from least to greatest.
Compare hundreds: 258 (2) < 528 (5) = 582 (5) < 825 (8).
Compare 528 and 582: tens digit 2 < 8, so 528 < 582.
Order: 258, 528, 582, 825
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- Key Reminders
- 10 ones = 1 ten; 10 tens = 1 hundred; 10 hundreds = 1 thousand (1000)
- The number just before 1000 is 999.
- Zero is important as a placeholder: 308 ≠ 38.
Common mistakes
- Writing 600 + 5 = 65 (wrong!) — it should be 605.
- Comparing numbers of different digit counts incorrectly: 99 < 100 always (3-digit > 2-digit).
Summary
Every 3-digit number has a hundreds, tens, and ones place. We use these places to build, compare, order, and round numbers up to 1000.