Place Value Problem: Converting 7 Ten Thousands and 4 Units to Standard Form

Q: How do I remember where ten thousands goes?

Count from the right: ones, tens, hundreds, thousands, ten thousands. The ten thousands place is the fifth position from the right, not the fourth!

Q: Why is the answer 70,004 and not 7,004?

$ 7 \times 10,000 = 70,000 $, not 7,000! Ten thousands means multiply by 10,000. Then add the 4 units to get 70,004.

Q: What if there are zeros in the middle?

Zeros are placeholders! In 70,004, the zeros show that there are no thousands or hundreds. Without them, you'd have 74 instead of seventy thousand four.

Q: How can I double-check my place value work?

Break down your number: 70,004 = 70,000 + 4. Then verify: 70,000 ÷ 10,000 = 7 ten thousands, and 4 ÷ 1 = 4 units. Perfect match!

Q: Why do some answers look so different?

Place value errors create huge differences! 7,004 vs 70,004 vs 700,004 - each wrong answer is off by a factor of 10. That's why counting positions is crucial.

Place Value with Large Number Components

I have seven ten thousands and four units. What number am I?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

I have seven ten thousands and four units. What number am I?

Step-by-step solution

To determine the desired number, we will follow these mathematical steps:

Calculate the contribution of 'seven ten thousands':

$7 \times 10,000 = 70,000$

Calculate the contribution of 'four units':

$4 \times 1 = 4$

Combine the two results to find the total number:

$70,000 + 4 = 70,004$

Therefore, the number described in the problem is $70,004$ .

According to the multiple-choice options provided, the correct choice is:

$70,004$ (Choice 3).

Final Answer

$70,004$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each position represents a power of ten value
Technique: Calculate $7 \times 10,000 = 70,000$ then add units
Check: Count digits from right: ones, tens, hundreds, thousands, ten thousands ✓

Common Mistakes

Avoid these frequent errors

Confusing ten thousands with thousands place
Don't write 7,004 by putting 7 in thousands place = wrong by factor of 10! Ten thousands means the fifth digit from right, not fourth. Always count positions carefully: ones, tens, hundreds, thousands, then ten thousands.

Practice Quiz

Test your knowledge with interactive questions

What number do the units shown below represent?

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

FAQ

Everything you need to know about this question

How do I remember where ten thousands goes?

Count from the right: ones, tens, hundreds, thousands, ten thousands. The ten thousands place is the fifth position from the right, not the fourth!

Why is the answer 70,004 and not 7,004?

$7 \times 10,000 = 70,000$ , not 7,000! Ten thousands means multiply by 10,000. Then add the 4 units to get 70,004.

What if there are zeros in the middle?

Zeros are placeholders! In 70,004, the zeros show that there are no thousands or hundreds. Without them, you'd have 74 instead of seventy thousand four.

How can I double-check my place value work?

Break down your number: 70,004 = 70,000 + 4. Then verify: 70,000 ÷ 10,000 = 7 ten thousands, and 4 ÷ 1 = 4 units. Perfect match!

Why do some answers look so different?

Place value errors create huge differences! 7,004 vs 70,004 vs 700,004 - each wrong answer is off by a factor of 10. That's why counting positions is crucial.

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