Place Value Analysis: What's 8 Worth in 46,860?

Q: How do I remember which place is which?

Start from the right and count: ones, tens, hundreds, thousands, ten-thousands. In 46,860, the 8 is in the third position from right, which is hundreds!

Q: What's the difference between a digit and its value?

The digit is just the symbol (8), but its value depends on position. The digit 8 in the hundreds place has a value of $ 8 \times 100 = 800 $.

Q: What if there are two of the same digit?

Each digit has its own place value! In 46,860, there are two 6's: one worth $ 6 \times 1000 = 6000 $ and one worth $ 6 \times 10 = 60 $.

Place Value with Multi-Digit Numbers

What does the number 8 represent in the number 46,860?

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Step-by-step written solution

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Understand the problem

What does the number 8 represent in the number 46,860?

Step-by-step solution

To solve this problem, let's analyze the number 46,860:

The number is composed of five digits: 4, 6, 8, 6, and 0.
Each digit represents a specific place value in our base-ten system.
The place values from left to right are: ten-thousands, thousands, hundreds, tens, and units.

In the number 46,860, the digit 8 is located in the hundreds place.
In the decimal system, the hundreds place means that the digit should be multiplied by 100.

Therefore, the digit 8 represents:

8 \times 100 = 800

Thus, the number 8 in the number 46,860 represents $800$ .

Final Answer

$800$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each position represents a power of ten
Technique: Count positions from right: 46,860 has 8 in hundreds place
Check: Multiply digit by place value: 8 × 100 = 800 ✓

Common Mistakes

Avoid these frequent errors

Confusing digit value with place value
Don't say the 8 just represents 8 = ignores position completely! This misses how our number system works. Always identify which place the digit occupies, then multiply the digit by that place value.

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 which place is which?

Start from the right and count: ones, tens, hundreds, thousands, ten-thousands. In 46,860, the 8 is in the third position from right, which is hundreds!

What's the difference between a digit and its value?

The digit is just the symbol (8), but its value depends on position. The digit 8 in the hundreds place has a value of $8 \times 100 = 800$ .

Why does place value matter?

Place value lets us write large numbers efficiently! Without it, we'd need 46,860 separate symbols instead of just 5 digits. Each position tells us how many of that place value we have.

What if there are two of the same digit?

Each digit has its own place value! In 46,860, there are two 6's: one worth $6 \times 1000 = 6000$ and one worth $6 \times 10 = 60$ .

How can I check if I identified the right place?

Count positions from the right, starting with ones. Or break the number apart:

46,860 = 40,000 + 6,000 + 800 + 60 + 0
The 8 contributes 800, confirming it's in hundreds place!

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