Class 5 Maths Worksheet: Multiplying Decimals by 10 and 100

When you multiply a decimal number by 10, the decimal point shifts one place to the right. This makes the number ten times larger.

• For instance, in the problem 2.45 x 10, the decimal point moves from between the 2 and 4 to between the 4 and 5.
• The answer becomes 24.5.

This simple decimal point shift is a fundamental rule in multiplying decimals for class 5.

In Class 5, multiplying decimal numbers involves a few key methods, with the easiest being multiplication by powers of 10. For multiplying by 10, 100, or 1000, you just need to move the decimal point to the right.

• Step 1: Count the number of zeroes in the whole number (e.g., 10 has one zero, 100 has two).
• Step 2: Move the decimal point in the decimal number to the right by that many places.
• Step 3: If there are not enough decimal places, add zeroes to the end of the number. For example, 4.8 x 100 = 480.

This technique is a core part of the NCERT decimal worksheets syllabus.

Yes, this Class 5 Maths worksheet on multiplying decimals by 10 and 100 is designed to be easily printable. You can download the worksheet as a free PDF file, which allows you to print multiple copies for practice, revision, or classroom use. Having a printable worksheet ensures students can practice offline comfortably.

Yes, a detailed answer key is provided with this decimal multiplication worksheet for Class 5. The solutions help students and parents verify the answers and understand the step-by-step process for correctly shifting the decimal point. Having answers for decimal multiplication is crucial for self-assessment and building confidence.

This worksheet is perfect for effective decimal multiplication practice at home. Here’s how you can use it:

• Download and Print: Start by downloading the free PDF and printing it out.
• Guided Practice: Go through the example problem with your child to ensure they understand the concept of moving the decimal point.
• Independent Work: Allow your child to solve the problems in Activity A and Activity B independently.
• Review with Answers: Use the provided answer key to check their work and clarify any mistakes.

The main rule is to shift the decimal point to the right by the number of zeroes in the multiplier. This is a simple and effective shortcut for decimal and whole number operations.

• For x 10 (1 zero), move 1 place right. (e.g., 7.892 x 10 = 78.92)
• For x 100 (2 zeroes), move 2 places right. (e.g., 7.892 x 100 = 789.2)
• For x 1000 (3 zeroes), move 3 places right. (e.g., 7.892 x 1000 = 7892)

This skill is essential for maths skills Grade 5 and forms the basis for more complex decimal calculations.

This worksheet directly reinforces the concept of decimal place value by showing students how a number's value changes when multiplied. By physically moving the decimal point, students can visually see a digit move from the tenths place to the ones place (when multiplying by 10), or from the hundredths place to the ones place (when multiplying by 100). This hands-on practice solidifies the relationship between decimal places and their value.

Mastering decimal multiplication in Grade 5 is crucial as it is a foundational skill for higher-level mathematics and real-world applications. Key reasons include:

• Future Topics: It is essential for understanding percentages, scientific notation, and algebra.
• Real-Life Scenarios: It is used in daily tasks like calculating money, measurements (e.g., metres to centimetres), and interpreting data.
• Problem-Solving: It improves a student's overall decimal calculation and numerical reasoning abilities.

Yes, this multiplying decimals worksheet PDF includes word problems to help students apply their knowledge to practical scenarios. These problems challenge students to read, interpret, and solve real-life situations involving decimal multiplication by 10 and 100. This approach aligns with the NCERT syllabus, which emphasizes conceptual understanding through application.