Understanding Decimal Place Value

Study Notes

Decimal Place Value

Decimal places are used to represent amounts that are in-between whole amounts.
Decimal places act as extensions to the base 10 number system which was used for whole numbers.
Decimal places count PARTS (or FRACTIONS) of things.

Comparing Whole Numbers and Decimal Places

Whole number places progress to the left of the ones place.
Decimal places progress to the right of the ones place.
The decimal point is used as a separator between whole digits and decimal digits.
The decimal point indicates the beginning of decimal places, counting by tenths, hundredths, thousandths, etc.

Fractional Values and Decimal Places

The tenths place represents one-tenth (1/10) of a whole.
The hundredths place represents one-hundredth (1/100) of a whole.
The thousandths place represents one-thousandth (1/1000) of a whole, and so on.
Combining 10 of the same decimal place value equals one of the previous place value; e.g., combining 10 tenths equals one whole.

Expanded Form of Decimal Numbers

The expanded form of a decimal number includes whole number and fractional parts.
Each digit's value depends on its position.
For example, the expanded form of 126.53 is: 100 + 20 + 6 + 5/10 + 3/100.

Decimal Place Value

Decimal places are used to represent amounts less than one.
Decimal places extend the base-10 number system beyond whole numbers.
Decimal places represent parts or fractions of a whole.

Comparing Whole Numbers and Decimal Places

Whole numbers are found to the left of the ones place.
Decimal places are found to the right of the ones place.
The decimal point separates whole numbers from decimal values.
The decimal point marks the start of decimal places, each representing a decreasing fraction of a whole: tenths, hundredths, thousandths, and so on.

Fractional Values and Decimal Places

The tenths place represents one-tenth (1/10) of a whole.
The hundredths place represents one-hundredth (1/100) of a whole.
The thousandths place represents one-thousandth (1/1000) of a whole.
Each place value is ten times smaller than the one to its left.

Expanded Form of Decimal Numbers

The expanded form of a decimal number shows the value of each digit.
Each digit's value depends on its position within the number.
For example, the expanded form of 126.53 is: 100 + 20 + 6 + 5/10 + 3/100.

Description

This quiz explores the concepts of decimal place value, including its relation to whole numbers and fractional values. Test your knowledge of how decimal places function and their significance in the base 10 number system. Perfect for students learning about decimals and fractions!