When we divide numbers, we are essentially breaking a quantity into smaller, equal parts. For example, if we have 10 candies and we want to share them equally among 2 friends, we would divide 10 by 2 to find out how many candies each friend gets.

Here are the key terms and concepts related to division:

**Dividend**: This is the number that is being divided. In the example above, 10 is the dividend.**Divisor**: This is the number by which the dividend is being divided. In the example above, 2 is the divisor.**Quotient**: This is the result of the division. In the example above, the quotient is 5, meaning each friend gets 5 candies.**Remainder**: Sometimes, after dividing, there may be a number left over. This is called the remainder. For example, if we divide 10 by 3, the quotient is 3 with a remainder of 1.

Here are some important tips for division:

- When dividing, it's important to remember that division is the opposite of multiplication. If 3 x 4 = 12, then 12 ÷ 4 = 3.
- If the dividend is smaller than the divisor, the quotient will be 0 with the dividend as the remainder.
- Long division is a common method for dividing large numbers. It involves breaking down the division into smaller steps and is particularly useful for dividing numbers with multiple digits.

Now that we understand the basics of division, let's practice with some examples!

- Divide 24 by 6.
- Find the quotient and remainder when 35 is divided by 8.
- Use long division to divide 187 by 11.

After practicing these questions, you'll have a better understanding of division and be ready to tackle more complex problems!

Study GuideSubtracting Fractions Worksheet/Answer key

Subtracting Fractions Worksheet/Answer key

Subtracting Fractions Worksheet/Answer key

Subtracting Fractions

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Compute fluently and make reasonable estimates.

Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals.

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 5 Focal Points (NCTM)

Algebra: Students use patterns, models, and relationships as contexts for writing and solving simple equations and inequalities. They create graphs of simple equations. They explore prime and composite numbers and discover concepts related to the addition and subtraction of fractions as they use factors and multiples, including applications of common factors and common multiples. They develop an understanding of the order of operations and use it for all operations.