Decimals

Decimals are a way of representing parts of a whole. They are used to express numbers that are not whole numbers, such as 0.5, 3.14, and 7.89.

A decimal number consists of two main parts: the whole number part and the decimal part. The whole number part is to the left of the decimal point, and the decimal part is to the right of the decimal point.

For example, in the number 3.75, 3 is the whole number part, and 75 is the decimal part. The decimal point separates the two parts.

Decimals can be added, subtracted, multiplied, and divided just like whole numbers. They can also be compared using greater than (>), less than (<), and equal to (=) symbols.

When working with decimals, it's important to understand place value. The place value of a digit in a decimal number determines its position and its value. For example, in the number 6.284, the 6 is in the ones place, the 2 is in the tenths place, the 8 is in the hundredths place, and the 4 is in the thousandths place.

Decimals are commonly used in everyday life, such as in money (dollars and cents), measurements (such as 3.5 meters), and in many other real-world applications.

◂Math Worksheets and Study Guides Third Grade. 3 Digit Addition

The resources above cover the following skills:

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 3 Focal Points (NCTM)

Number and Operations: Building on their work in grade 2, students extend their understanding of place value to numbers up to 10,000 in various contexts. Students also apply this understanding to the task of representing numbers in different equivalent forms (e.g., expanded notation). They develop their understanding of numbers by building their facility with mental computation (addition and subtraction in special cases, such as 2,500 + 6,000 and 9,000 - 5,000), by using computational estimation, and by performing paper-and-pencil computations.

Decimals

[Decimals] Related Worksheets and Study Guides:

◂Math Worksheets and Study Guides Third Grade. 3 Digit Addition

The resources above cover the following skills: