dividing whole numbers by decimals worksheet

Guri Bee

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24-10-2024

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Mastering Division: Whole Numbers Divided by Decimals

Dividing whole numbers by decimals can seem daunting, but with the right approach, it becomes a breeze! Let's explore this concept and equip you with the knowledge to tackle any problem with confidence.

Why is it tricky?

The core challenge lies in the presence of a decimal in the divisor. Unlike dividing by whole numbers, where we directly perform the division, decimals require an extra step: shifting the decimal point.

The Key: Making it Whole!

The most common approach is to convert the divisor (the number we're dividing by) into a whole number. We achieve this by multiplying both the divisor and the dividend (the number being divided) by the same power of ten.

Let's break it down with an example:

Problem: 12 ÷ 0.4

Solution:

1. Target: We want to eliminate the decimal in 0.4.
2. Multiply: We multiply both the divisor (0.4) and the dividend (12) by 10.
   • 0.4 * 10 = 4
   • 12 * 10 = 120
3. Divide: Now we have a simpler problem: 120 ÷ 4 = 30

Therefore, 12 ÷ 0.4 = 30

Practical Application:

Think about sharing pizza with friends. If you have 12 slices and each person eats 0.4 slices, how many friends can you share with? Using the method above, you can find out that you can share with 30 friends!

Tips for Success:

• Visualize: Imagine shifting the decimal point in the divisor to the right until it becomes a whole number. Do the same for the dividend.
• Practice: The more you practice, the more comfortable you'll become with the process.

Where can I find more help?

• GitHub: Explore resources and code examples on GitHub ([link to relevant GitHub repositories]).
• Online Resources: Numerous websites offer free worksheets, tutorials, and interactive exercises ([link to relevant online resources]).

Embracing the Challenge:

By understanding the rationale behind the process and practicing regularly, you'll master dividing whole numbers by decimals. Remember, every challenge is an opportunity to learn and grow!