In the decimal number 367.9412, name the digit that has each place value. (a) tens (b) tenths (c) thousandths (d) ones or units (e) hundredths

Key Concepts

Place Value

Place value refers to the value of a digit based on its position within a number. In a decimal number, each position to the left of the decimal point represents increasing powers of ten, while each position to the right represents decreasing powers of ten. Understanding place value is essential for identifying the significance of each digit in a number.

Decimal System

The decimal system is a base-10 numeral system that uses ten digits (0-9) to represent numbers. In this system, the position of each digit determines its value, with the decimal point separating whole numbers from fractional parts. This system is fundamental for performing arithmetic operations and understanding numerical relationships.

Identifying Digits by Place Value

Identifying digits by place value involves recognizing which digit corresponds to a specific place in a number. For example, in the number 367.9412, the digit in the tens place is 6, the tenths place is 9, the hundredths place is 4, the ones place is 7, and the thousandths place is 1. This skill is crucial for accurately interpreting and manipulating decimal numbers.