What are place values in numbers?
Place value is the value of each digit in a number based on its position within the number. In the decimal number system, which is based on powers of ten, each place has a value ten times that of the place to its right. Understanding place value is fundamental in mathematics, as it helps in comprehending the magnitude and arithmetic operations of numbers.
Types of place values in numbers:
- Units (Ones) Place: The rightmost digit in a number represents units or ones.
- Tens place: The second digit from the right represents tens.
- Hundreds place: The third digit from the right represents hundreds.
- Thousands place: The fourth digit from the right represents thousands.
- Ten thousands place: The fifth digit from the right represents ten thousands.
- Hundred thousands place: The sixth digit from the right represents hundred thousands.
- Millions place: The seventh digit from the right represents millions.
Example: In 345, five is in the units place.
Example:In 345, four is in the tens place (4 tens = 40).
Example:In 345, three is hundreds place (3 hundreds = 300).
Example: In 5,678, five is in the thousands place (5 thousands = 5000).
Example:In 56,789, 5 is in the ten thousands place (5 ten thousands = 50,000).
Example:In 567,890, 5 is in the hundred thousands place (5 hundred thousands = 500,000).
Example: In 5,678,901, 5 is in the millions place (5 millions = 5,000,000).
Rules for Place Values:
Example: In the number 450, the tens place (50) is ten times the units place (5).
Example: In 6,234, the digit 2 in the hundreds place is 2 × 100 = 200.
Example: In 5,078, the zero in the hundreds place indicates there are no hundreds, but it still holds the place.
Quizzes:
1. What is the place value of the digit 7 in the number 4,572?
2. What is the value of the digit 3 in the number 3,149?
3. In the number 82,451, which digit has the greatest place value?
4. Write the number 5,306 in expanded form.
5.What is the place value of the digit 9 in the number 49,587?