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Number and Place Value - Numbers up to 1,000,000

Grade 4IGCSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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Place Value Chart: Understanding positions from Ones up to Millions (Ones, Tens, Hundreds, Thousands, Ten Thousands, Hundred Thousands, Millions).

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Reading and Writing Numbers: Converting between numerical form (e.g., 540,200) and word form (five hundred forty thousand, two hundred).

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Partitioning and Expanded Form: Breaking a number down into the value of its constituent digits (e.g., 432,050 = 400,000 + 30,000 + 2,000 + 50).

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Comparing and Ordering: Using symbols like << (less than), >> (greater than), and == (equal to) to compare large numbers by looking at the highest place value first.

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Rounding: Approximating numbers to the nearest 10, 100, 1,000, 10,000, or 100,000 based on the digit to the right of the target place value.

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Powers of 10: Recognizing that each place value to the left is 10 times larger than the one to its right.

📐Formulae

Value of a Digit=Digit×Place Value Position\text{Value of a Digit} = \text{Digit} \times \text{Place Value Position}

Rounding Rule:If digit to the right ≥5, round up. If <5, keep same.\text{Rounding Rule}: \text{If digit to the right } \ge 5, \text{ round up. If } < 5, \text{ keep same.}

Expanded Form:100,000a+10,000b+1,000c+100d+10e+f\text{Expanded Form}: 100,000a + 10,000b + 1,000c + 100d + 10e + f

💡Examples

Problem 1:

What is the value of the digit 7 in the number 745,231?

Solution:

700,000

Explanation:

The digit 7 is in the 'Hundred Thousands' place. Therefore, its value is 7×100,000=700,0007 \times 100,000 = 700,000.

Problem 2:

Round 458,290 to the nearest ten thousand.

Solution:

460,000

Explanation:

The 'Ten Thousands' digit is 5. We look at the digit to its right (Thousands place), which is 8. Since 8 is 5 or greater, we round the 5 up to 6 and change all digits to the right to zero.

Problem 3:

Compare the numbers using < or >: 823,040 ___ 823,400.

Solution:

823,040 < 823,400

Explanation:

Starting from the left, the hundred thousands, ten thousands, and thousands digits are the same. In the hundreds place, 0 is less than 4, so 823,040 is the smaller number.

Problem 4:

Write 'six hundred five thousand, twelve' in standard numerical form.

Solution:

605,012

Explanation:

There are 605 in the thousands period and 012 in the ones period (since there are no hundreds mentioned, we use a 0 as a placeholder).