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

Answer the following questions about place value.
Consider the decimal number: 145.926
a. What is the place value of the digit $9 ?$
b. Which digit tells the number of thousandths?
c. Which digit tells the number of tens?
d. What is the place value of the digit $5 ?$

Key Concepts

Place Value

Place value is the system in which the value of a digit in a number is determined by its position. In the base-10 numeral system, each position corresponds to a power of 10, meaning that the position of each digit defines its multiplier (e.g., units, tens, hundreds, etc.). This concept allows us to interpret and work with numbers efficiently.

Decimal Number

A decimal number is a number that includes a decimal point to separate the whole number part from the fractional part. The digits to the left of the decimal point represent whole units, while the digits to the right represent parts of a whole based on decreasing powers of 10 (tenths, hundredths, thousandths, etc.).

Positional Notation

Positional notation is the method of representing or encoding numbers where the position of a digit in a number indicates how many times the digit should be multiplied by a power of the base. In the widely-used base-10 system, this method is fundamental in understanding the significance of digits in both whole numbers and decimals.

Fractional Place Values

Fractional place values pertain to the digits following the decimal point in a decimal number. These positions indicate fractions of a whole, with the first digit after the decimal representing tenths, the second representing hundredths, the third representing thousandths, and so on, which is crucial for expressing non-integer values accurately.

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