AI assistant tip: learners can use code AI10 at checkout for their first marked KCSE/CBC paper at KSh 10 (once per phone).
Last reviewed: 12 November 2026
Updated November 2026. These Grade 6 whole numbers notes explain place value and total value up to millions, reading and writing numbers in symbols and words, ordering and rounding off numbers up to 100,000, and squares and square roots. Quick answer: in 4,736,215 the digit 7 is in the hundred thousands place, so its total value is 700,000. Rounded to the nearest thousand, 48,620 becomes 49,000 because the hundreds digit (6) is 5 or more.
All the questions are original practice for upper primary learners in Kenya, not an official paper. The sub-strand list comes from the Grade 6 Mathematics design in the KICD curriculum designs, where whole numbers is the first and longest sub-strand of the Numbers strand. For other topics, see the Grade 6 maths revision guide and the Grade 6 notes hub.
On this page
Place Value and Total Value Up to Millions
Each position in a number has a value ten times the position to its right. Reading from the right: ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions. OpenStax Prealgebra’s chapter on whole numbers uses the same place value chart, grouping digits in threes.
Place value is the name of the position. Total value is the digit multiplied by that position’s value.
| Number 3,582,409 | Place value | Total value |
|---|---|---|
| 3 | Millions | 3,000,000 |
| 5 | Hundred thousands | 500,000 |
| 8 | Ten thousands | 80,000 |
| 2 | Thousands | 2,000 |
| 4 | Hundreds | 400 |
| 0 | Tens | 0 |
| 9 | Ones | 9 |
Adding the total values gives back the number: 3,000,000 + 500,000 + 80,000 + 2,000 + 400 + 9 = 3,582,409.
Reading and Writing Numbers in Words
Split the number into groups of three from the right, then read each group with its name. 74,306 is “seventy-four thousand, three hundred and six”. 100,000 is “one hundred thousand”. When a zero sits in a position, that position is simply skipped in words: 60,050 is “sixty thousand and fifty”.
Going the other way, write the thousands group first, then the last three digits, filling gaps with zeros. “Forty thousand and eight” is 40,008, not 4,008.
Ordering and Rounding Off Numbers
To order numbers, compare the digit in the highest place first. If those match, move one place to the right. Arranged from smallest to largest, 45,210; 45,120; 54,012 become 45,120; 45,210; 54,012.
To round off to the nearest thousand, look at the hundreds digit. If it is 5 or more, add one to the thousands digit. If it is 4 or less, keep the thousands digit. Replace the hundreds, tens and ones with zeros.
Worked example: county population
A sub-county has 86,472 people. To the nearest thousand: the hundreds digit is 4, so it stays 86,000. A different sub-county with 86,512 rounds to 87,000.
Squares and Square Roots
The square of a number is the number multiplied by itself: 12 × 12 = 144, so 144 is the square of 12. The square root reverses this: √144 = 12, because 12 × 12 = 144. A perfect square is a whole number whose square root is also a whole number, such as 1, 4, 9, 16, 25, 100, 400 and 10,000.
For larger perfect squares, use factors in pairs. 3,600 = 36 × 100, so √3,600 = 6 × 10 = 60. 10,000 = 100 × 100, so √10,000 = 100.
Original Practice Questions With Worked Answers
- Write the total value of 6 in 2,961,074. 6 is in the ten thousands place, so 60,000.
- Write 58,019 in words. Fifty-eight thousand and nineteen.
- Write “ninety thousand, four hundred and five” in symbols. 90,405.
- Round 72,500 to the nearest thousand. The hundreds digit is 5, so round up: 73,000.
- Arrange from largest to smallest: 30,978; 39,087; 30,987. 39,087; 30,987; 30,978.
- Find the square of 25. 25 × 25 = 625.
- Find √6,400. 6,400 = 64 × 100, so √6,400 = 8 × 10 = 80.
- Form the largest and smallest five-digit numbers using 4, 0, 7, 1 and 9 once each. Largest 97,410. Smallest 10,479 (a number cannot start with 0).
Try each one before looking at the answer. More timed practice is in the Grade 6 CBC Challenge, and the next topics in the design are covered in the Grade 6 multiplication notes. These notes are free; complete revision papers are available with the KSh 20 Day Pass or the KSh 500 Monthly Pass. Free calculators and other revision aids are on the CBC Guides tools page.
Frequently Asked Questions
What is the difference between place value and total value?
Place value is the name of the position a digit is in, such as thousands. Total value is the digit times that position, so 4 in the thousands place has a total value of 4,000.
How do you round off to the nearest thousand?
Look at the hundreds digit. If it is 5 or more, add one to the thousands digit; if it is 4 or less, leave it. Then write zeros in the hundreds, tens and ones places.
What is a perfect square?
A whole number that is the square of another whole number, such as 49 (7 × 7) or 2,500 (50 × 50). Its square root is a whole number.
How do you write 100,000 in words?
One hundred thousand. It is the largest number Grade 6 learners write in words in this sub-strand.