Numbers up to 10,000 Notes - Grade 4 Mathematics | YNetStudyHub
Mathematics Tutorial

Numbers up to 10,000

Reading, writing and understanding the place value of numbers up to 10,000.

Lesson 35 of 98
6 min read Mathew Wahome

Numbers up to 10,000

Big numbers around us

Numbers up to 10,000 count things such as pupils in a county school, shillings in a savings group or kilometres between towns. The KICD Grade 4 curriculum builds on numbers to 1,000 learned earlier.

Place value

Each digit has a place and a value. In 3,752:

Digit Place Value
3 Thousands 3,000
7 Hundreds 700
5 Tens 50
2 Ones 2

So 3,752 = 3,000 + 700 + 50 + 2. This is called expanded form.

Reading and writing

  • 3,752 = three thousand, seven hundred and fifty-two
  • 6,009 = six thousand and nine
  • 10,000 = ten thousand

Comparing numbers

  1. Count the digits; more digits means a bigger number.
  2. If the digits are equal, compare from the left.
  3. Use > (greater than), < (less than) or = (equal to).

Example: 4,586 > 4,568 because 8 tens is more than 6 tens.

Ordering

Ascending means smallest to biggest: 1,205; 1,250; 2,105. Descending means biggest to smallest: 2,105; 1,250; 1,205.

Rounding

Round to the nearest ten: 3,752 becomes 3,750. Round to the nearest hundred: 3,752 becomes 3,800.

Try it

  • Write 5,408 in words and in expanded form.
  • Put in ascending order: 7,090; 7,009; 7,900.
  • Round 6,847 to the nearest hundred.
Quick Knowledge Check
Q1. What is the place value of 7 in 3,752?
A Ones
B Tens
C Hundreds
D Thousands
Reveal Answer & Explanation
Correct Answer: Option C (Hundreds)
7 is in the hundreds place, so its value is 700.
Q2. Which is the correct number name for 4,050?
A Four hundred fifty
B Four thousand fifty
C Forty thousand five
D Four thousand five
Reveal Answer & Explanation
Correct Answer: Option B (Four thousand fifty)
4,050 is four thousand and fifty.
Q3. Which number is greatest?
A 8,421
B 8,412
C 8,241
D 8,142
Reveal Answer & Explanation
Correct Answer: Option A (8,421)
Compare thousands, then hundreds: 8,421 is greatest.
Key Concept Flashcards
Concept Prompt
Name the places in 2,345 from the left.

Key Takeaway
Thousands, hundreds, tens, ones.
Concept Prompt
What is 9,999 + 1?

Key Takeaway
10,000.
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