Dividing

Dividing is the process of splitting a number into equal parts. When we divide one number by another, we are essentially finding out how many times the second number can fit into the first number.

Basic Division Terminology

Dividend: The number being divided.
Divisor: The number by which the dividend is being divided.
Quotient: The result of dividing the dividend by the divisor.
Remainder: The amount left over when the dividend is not perfectly divisible by the divisor.

Understanding Division

Let's take an example: 12 ÷ 3

In this case, 12 is the dividend and 3 is the divisor. The quotient is 4 because 3 can fit into 12 four times without any remainder.

Long Division Method

The long division method is a way to perform division when the numbers are large or the division is not straightforward. It involves several steps of division, multiplication, and subtraction.

Study Guide for Division

Here are some key points to remember when learning about division:

Understand the basic division terminology (dividend, divisor, quotient, remainder).
Practice simple division problems to gain fluency.
Learn the long division method for tackling larger division problems.
Practice dividing numbers with and without remainders.

Remember, practice is key when it comes to mastering division. The more you practice, the more comfortable you'll become with dividing numbers.

◂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.