Answer the following questions about place value. Consider...

Answer the following questions about place value.
Consider the decimal number: 304.817
a. What is the place value of the digit $1 ?$
b. Which digit tells the number of thousandths?
c. Which digit tells the number of hundreds?
d. What is the place value of the digit $7 ?$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Positional Notation

Positional notation is the method of representing numbers where each digit's position corresponds to a specific power of the base. In the decimal system, positions to the left of the decimal point represent powers of ten (such as ones, tens, hundreds), while positions to the right represent negative powers of ten (such as tenths, hundredths, thousandths).

Place Value

Place value is the value of a digit based on its position within a number. In a positional numeral system, such as the base-10 system, each position represents a different power of ten, and the value of a digit is determined by the digit multiplied by the value of its position.

Whole Number Place Values

Whole number place values refer to the importance of a digit's position in the integer part of a number. Digits in positions like ones, tens, hundreds, etc., determine the magnitude of the whole number, with each position being ten times the value of the position to its right.

Decimal Fractional Place Values

Decimal fractional place values deal with the positions of digits to the right of the decimal point. Each position represents a fraction of a whole number, such as tenths, hundredths, and thousandths, where the value decreases by a factor of ten for each position moving right from the decimal point.

Transcript

Please give Ace some feedback