Decimal Place Value and Fractions

Study Notes

Decimal Place Value

Decimal place value extends the base 10 number system to represent amounts between whole numbers
Decimal places count parts or fractions of things
The decimal point separates whole number places from decimal places
The ones place counts by ones, the tenths place counts by tenths, and the hundredths place counts by hundredths
Each decimal place to the right represents a fraction 10 times smaller than the previous place
The decimal places can go on forever to the right, counting smaller and smaller parts or fractions
The expanded form of a decimal number includes the whole number part and the fraction part represented by the decimal digits
Example: 126.53 expanded form is 100 + 20 + 6 + 5/10 + 3/100

Fractions

Fractions are a way of representing parts of a whole
The bottom number of a fraction tells how many equal parts a whole amount is divided into
The top number of a fraction tells how many of those parts you have
Example: 1/2 represents one half, 1/10 represents one-tenth, 1/100 represents one-hundredth
Fractions can be simplified, for example, 5/10 can be simplified to 1/2
Decimal numbers and fractions are related, for example, 0.5 is equivalent to 1/2

Decimal Place Value

Decimal place value extends the base 10 number system to represent amounts between whole numbers.
The decimal point separates whole numbers from decimal places.
The ones place counts by ones, the tenths place counts by tenths, and the hundredths place counts by hundredths.
Each decimal place to the right is 10 times smaller than the previous place.
The decimal places can go on forever to the right.
The expanded form of a decimal number includes the whole number part and the fraction part represented by the decimal digits.
The expanded form of 126.53 is 100 + 20 + 6 + 5/10 + 3/100

Fractions

Fractions represent parts of a whole.
The bottom number of a fraction tells how many equal parts a whole amount is divided into.
The top number of a fraction tells how many of those parts you have.
The fraction 1/2 represents one half, 1/10 represents one-tenth, 1/100 represents one-hundredth.
Fractions can be simplified.
5/10 can be simplified to 1/2.
Decimal numbers and fractions are related.
0.5 is equivalent to 1/2.

Decimal Place Value

Decimal places are used to represent values between whole numbers.
The decimal point separates the whole number from the fractional part.
Each place value to the right of the decimal represents a fraction of 1, getting smaller by a factor of ten with each successive place.
For example, the tenths place represents 1/10, the hundredths place represents 1/100, and the thousandths place represents 1/1000.

Value and Expanded Form

The value of a digit in a decimal number is determined by its place value.
For example, the digit '2' in the tenths place represents two-tenths (2/10).
The expanded form of a decimal number shows the value of each digit as a sum of fractions.
For example, the expanded form of 126.53 is 100 + 20 + 6 + 5/10 + 3/100.

Description

This quiz covers the concepts of decimal place value and fractions, including how to represent amounts between whole numbers. You'll learn about the significance of each decimal place and the basics of fraction representation. Get ready to test your knowledge!