Dividing Whole Numbers by 10, 100, 1,000, and Up to 1,000,000

When you divide a whole number by a power of ten, the value of each digit decreases because it shifts to the right on the place value chart.

• Dividing by 10 makes the number 10 times smaller, shifting digits one place to the right.
• Dividing by 100 makes the number 100 times smaller, shifting digits two places to the right.
• Dividing by 1000 makes the number 1000 times smaller, shifting digits three places to the right.

To easily divide a whole number by 100, you simply remove the last two zeros from the number.

For example, in the problem 34,500 ÷ 100, you remove the two zeros at the end to get the answer 345. This mental math division trick is very useful for solving problems quickly.

The simplest method is to cancel out the zeros between the dividend and the divisor.

1. Count the zeros in the divisor. The number 1000 has three zeros.
2. Remove the same number of zeros from the end of the large number. Removing three zeros from 1,000,000 leaves 1,000.
3. Therefore, 1,000,000 ÷ 1,000 = 1,000. This stepwise calculation makes powers of ten division manageable.

This worksheet is designed to build several core mathematical skills for Grade 6 students.

• Place Value Understanding: It reinforces how a digit's value changes when dividing by 10, 100, or 1000.
• Mental Math Speed: It helps students perform quick calculations without needing to write everything down.
• Number Sense: It improves a student's intuitive feel for large numbers and division operations.
• Problem-Solving Confidence: Regular practice with these dividing whole numbers worksheets prepares students for more complex topics.

This practice worksheet directly helps students prepare for their Class 6 Maths exams in several ways.

• Syllabus Alignment: The problems align with the CBSE and NCERT topics for Grade 6.
• Concept Mastery: Repeated practice ensures students master the rules for dividing by powers of ten.
• Time Management: Improving mental math skills helps students solve problems faster during timed tests.
• Error Spotting: Using the included answer key helps students identify and correct their mistakes before an exam.

Yes, this worksheet on dividing whole numbers is available as a free, printable PDF.

You can easily download the math worksheet PDF and print it for classroom use, maths homework, or extra practice sessions at home. The layout is designed to be clear and easy to read on paper.

Yes, a complete and accurate answer key is provided with this division practice worksheet.

The answer key allows students, parents, and teachers to quickly verify the solutions to the practice problems. This is essential for self-assessment and understanding the correct calculation steps.

The underlying concept of decimal movement is the same for both whole numbers and decimals.

• When dividing whole numbers like 7,200 by 100, you remove two zeros. This is equivalent to moving an invisible decimal point two places to the left (7200. → 72.00).
• When dividing decimals, you explicitly move the decimal point. For example, in 7.2 ÷ 10, the decimal point moves one place left to become 0.72.

Mastering division of whole numbers by powers of ten is a key step before learning the division of decimals.

Mastering division by powers of ten is a fundamental skill in the Class 6 Maths syllabus that is crucial for many future topics.

• Foundation for Decimals: It is essential for understanding multiplication and division of decimal numbers.
• Metric System Conversions: It helps in converting units of measurement (e.g., grams to kilograms).
• Simplifies Long Division: It provides mental math shortcuts that make complex calculations easier.
• Scientific Notation: It prepares students for working with very large numbers in higher grades.