Understanding Decimal Place Value

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.