PLACE VALUE Meaning and
Definition
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Place value is a fundamental concept in mathematics that refers to the value of a digit based on its position in a number. Each digit in a number has a different place value, which determines the significance of that digit in terms of its overall value within the number. The place value system is based on powers of 10, where each position in a number represents a different power of 10.
The concept of place value enables the formation of larger numbers by grouping digits according to their positions. In a place value system, the value of a digit is determined by its position relative to the decimal point. The rightmost position, which represents ones or units, has the lowest place value, while subsequent positions to the left, such as tens, hundreds, thousands, and so on, have increasingly higher place values. In a decimal number system, each position to the left of the decimal point represents a power of 10 that is ten times greater than the previous position. Conversely, each position to the right of the decimal point represents a power of 10 that is ten times smaller than the previous position.
By understanding place value, individuals can read and write numbers correctly, perform mathematical operations accurately, and comprehend the magnitude of numbers. For example, in the number 327, the digit 7 represents 7 ones or units, the digit 2 represents 2 tens, and the digit 3 represents 3 hundreds. Place value plays a crucial role in various mathematical concepts, including addition, subtraction, multiplication, division, and decimal fractions.
Common Misspellings for PLACE VALUE
- olace value
- llace value
- -lace value
- 0lace value
- pkace value
- ppace value
- poace value
- plzce value
- plsce value
- plwce value
- plqce value
- plaxe value
- plave value
- plafe value
- plade value
- placw value
- placs value
- placd value
- placr value
- plac4 value
Etymology of PLACE VALUE
The etymology of the term "place value" traces back to its components: "place" and "value".
1. "Place":
The word "place" comes from the Old French word "place" meaning "open space, square", which is derived from the Latin word "platea", meaning "broad street" or "courtyard". It further stems from the Greek word "plateia", meaning "broad street" or "avenue".
2. "Value":
The word "value" originated from the Old French word "value" meaning "worth, value", which is derived from the Latin word "valeur", meaning "worth, value, price".
When these two terms are combined, "place" refers to the position or location of a digit within a number, and "value" represents the worth or significance of that digit based on its position within the number system.
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