Number Formation: Creating the Six-Digit Number 900,999

Q: Why don't we write the ten-thousands and thousands places?

Because 900,999 has zeros in those positions! The number is 9-0-0-9-9-9, so we only include places where we actually have non-zero digits.

Q: How do I know which place value each digit represents?

Start from the right and work left: ones, tens, hundreds, thousands, ten-thousands, hundred-thousands. Each position is 10 times bigger than the one to its right!

Q: What if I accidentally include a zero place value?

Your final answer will be too big! For example, including 9×10,000 would add an extra 90,000 to your total, giving you 990,999 instead of 900,999.

Q: Is there a pattern to the place values?

Yes! Each place value is a power of 10: $ 10^0 = 1, 10^1 = 10, 10^2 = 100, 10^3 = 1,000 $, and so on. This makes it easier to remember!

Place Value Decomposition with Six-Digit Numbers

Choose the correct exercise to attain the number 900,999.

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose the correct exercise to attain the number 900,999.

Step-by-step solution

To solve this problem, let's consider the number $900,999$ . This number can be broken down as follows:

The '900,000' component can be written as $9 \times 100,000$ , as 900,000 is nine hundred thousands.
The '999' component can be broken into $9 \times 100 + 9 \times 10 + 9 \times 1$ , representing nine hundreds, nine tens, and nine units.

Now, combining these parts together, the exercise becomes:

$9 \times 100,000 + 9 \times 100 + 9 \times 10 + 9 \times 1 = 900,999$ .

This is the decomposition that accurately reflects the number $900,999$ .

Thus the correct choice among the options provided is: $9 \times 100,000 + 9 \times 100 + 9 \times 10 + 9 \times 1 = 900,999$ .

Final Answer

$9\times100,000+9\times100+9\times10+9\times1=900,999$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit's value equals digit times its place value position
Technique: Break down 900,999 = 9×100,000 + 0×10,000 + 0×1,000 + 9×100 + 9×10 + 9×1
Check: Add all products: 900,000 + 0 + 0 + 900 + 90 + 9 = 900,999 ✓

Common Mistakes

Avoid these frequent errors

Including zero place values in decomposition
Don't write 9×10,000 + 9×1,000 when those positions have zeros = adding values that aren't there! This inflates your number beyond the target. Always include only the place values where digits actually appear as non-zero.

Practice Quiz

Test your knowledge with interactive questions

If you use all of the units shown below and place them in the table, then what number do they make?

Write the values in the place value chart and convert into a number.

FAQ

Everything you need to know about this question

Why don't we write the ten-thousands and thousands places?

Because 900,999 has zeros in those positions! The number is 9-0-0-9-9-9, so we only include places where we actually have non-zero digits.

How do I know which place value each digit represents?

Start from the right and work left: ones, tens, hundreds, thousands, ten-thousands, hundred-thousands. Each position is 10 times bigger than the one to its right!

What if I accidentally include a zero place value?

Your final answer will be too big! For example, including 9×10,000 would add an extra 90,000 to your total, giving you 990,999 instead of 900,999.

Is there a pattern to the place values?

Yes! Each place value is a power of 10: $10^0 = 1, 10^1 = 10, 10^2 = 100, 10^3 = 1,000$ , and so on. This makes it easier to remember!

How can I check my decomposition quickly?

Add up all your products and see if you get the original number. If 900,000 + 900 + 90 + 9 = 900,999, you're correct!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural numbers up to a million questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime