Place Value
ICSE Class 6 · Mathematics · Chapter 4
What this chapter covers
- Place value and face value
- Place value in large numbers
- Place value charts in both systems
- Expanded form
- Successor and predecessor
Key points
- The face value of a digit is the digit itself; it never changes.
- The place value of a digit is the digit multiplied by the value of its place.
- Each place is worth ten times the place on its right.
- The place value of 0 is always 0, and the place value of the ones digit equals its face value.
- The same digit in two places has the same face value but different place values.
- Place value charts in the Indian system use ones, thousands, lakhs and crores; in the International system they use ones, thousands and millions.
- One lakh equals one hundred thousand, and one crore equals ten million.
- A zero is used as a placeholder to keep an empty place filled.
- The expanded form of a number is the sum of the place values of its digits.
- The successor of a whole number is 1 more than it; the predecessor is 1 less.
- The number 0 has no predecessor among the whole numbers.
Questions answered
What is the face value of 7 in 3,72,814?
7. The face value of a digit is the digit itself.
What is the place value of 7 in 3,72,814?
The 7 is in the ten thousands place, so its place value is 70,000.
In 9,04,56,213 name the place of the digit 4 and give its place value in Indian figures.
The 4 is in the lakhs place. Its place value is 4,00,000.
Write 52,08,031 in expanded form.
5000000 + 200000 + 8000 + 30 + 1, that is, 50,00,000 + 2,00,000 + 8,000 + 30 + 1.
Write the number for 8 × 10000000 + 3 × 100000 + 6 × 100 + 4 in both systems.
8 crores, 3 lakhs, 6 hundreds and 4 ones give 8,03,00,604 in the Indian system. In the International system it is 80,300,604.
Which International place matches the Indian lakhs place?
The hundred thousands place. Both are worth 1,00,000, which is 100,000.
Give the successor and the predecessor of 59,99,999.
The successor is 60,00,000. The predecessor is 59,99,998.
In 6,16,61,616 find the difference between the place values of the 6 in the crores place and the 6 in the ones place.
The place values are 6,00,00,000 and 6. The difference is 60000000 - 6 = 59999994, written 5,99,99,994.