Multiplying Whole Numbers by Decimals Made Easy Worksheet

Multiplying Whole Numbers by Decimals Made Easy

Multiplying whole numbers by decimals is a fundamental concept in mathematics that can seem daunting at first, but with practice and the right approach, it can become second nature. In this worksheet, we will explore the basics of multiplying whole numbers by decimals and provide examples and exercises to help you master this skill.

Understanding Decimals

Before we dive into multiplying whole numbers by decimals, let’s review what decimals are. Decimals are a way of representing fractions in a more convenient and readable format. For example, the fraction ¹⁄₂ can be written as the decimal 0.5. Decimals are used to represent numbers that are not whole, but are instead a part of a whole.

Multiplying Whole Numbers by Decimals

To multiply a whole number by a decimal, you simply multiply the whole number by the decimal as you would with two whole numbers. However, when multiplying decimals, you need to be mindful of the placement of the decimal point.

For example, if you are multiplying 2 by 0.5, you would multiply 2 by 5 (the decimal part) and then place the decimal point in the correct position. In this case, the result would be 1.0.

Here are a few more examples:

• 3 x 0.2 = 0.6
• 4 x 0.5 = 2.0
• 5 x 0.8 = 4.0

Rules for Multiplying Whole Numbers by Decimals

Here are some rules to keep in mind when multiplying whole numbers by decimals:

• When multiplying a whole number by a decimal, multiply the whole number by the decimal part and then place the decimal point in the correct position.
• If the decimal part has one digit, the result will have one decimal place. If the decimal part has two digits, the result will have two decimal places, and so on.
• If the whole number is even, the result will be even. If the whole number is odd, the result will be odd.

Examples and Exercises

Now that we have reviewed the basics of multiplying whole numbers by decimals, let’s try some examples and exercises.

Examples:

• 2 x 0.3 =?
• 5 x 0.9 =?
• 7 x 0.1 =?

Answers:

• 0.6
• 4.5
• 0.7

Exercises:

• Multiply 3 by 0.4
• Multiply 9 by 0.2
• Multiply 6 by 0.8

Answers:

• 1.2
• 1.8
• 4.8

📝 Note: Remember to place the decimal point in the correct position when multiplying whole numbers by decimals.

Real-World Applications

Multiplying whole numbers by decimals has many real-world applications, such as:

• Calculating the cost of goods and services
• Measuring the length of objects
• Determining the area of a room
• Calculating the volume of a liquid

Conclusion

Multiplying whole numbers by decimals is a fundamental math concept that can be mastered with practice and patience. By following the rules and guidelines outlined in this worksheet, you will be able to confidently multiply whole numbers by decimals in no time. Remember to place the decimal point in the correct position and to be mindful of the number of decimal places.