Place Value Chart to Number: Converting 5,840,000 from Expanded Form

Q: What do I do with the empty columns in the chart?

Empty columns represent zeros in your final number! If there's no digit shown, that place value contributes 0 to the total. Don't skip these positions when writing your answer.

Q: Why is my answer different from 584?

You're missing the empty positions! The chart shows 5 in millions, 8 in hundred-thousands, and 4 in hundreds. All the spaces in between (like thousands and tens) are zeros, giving you $ 5,800,000 $.

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

Break it down step by step: 5 million + 8 hundred-thousand + 4 hundred = $ 5,000,000 + 800,000 + 400 = 5,800,400 $. Then verify by reading your number aloud.

Q: What's the difference between 5,840,000 and 5,804,000?

Look carefully at the chart! The 4 is in the hundreds position, not the ten-thousands position. This gives $ 5,804,000 $ (five million, eight hundred four thousand).

Place Value Conversion with Empty Positions

Convert the values in the place value chart into a number.

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the values in the place value chart into a number.

Step-by-step solution

To solve this problem, convert each specified place value in the given chart to its numerical component and sum these components:

Step 1: Identify the digits and their respective place values from the chart.
- Millions: $5$
- Hundreds of Thousands: $8$
- Hundreds: $4$
Step 2: Convert each digit and place value pair into its complete value:
- Millions: $5 \times 1,000,000 = 5,000,000$
- Hundreds of Thousands: $8 \times 100,000 = 800,000$
- Hundreds: $4 \times 100 = 400$
Step 3: Add these values to form the final number: $5,000,000 + 800,000 + 400 = 5,804,000$

Therefore, the value represented by the place value chart is $5,804,000$ .

Final Answer

$5,804,000$

Key Points to Remember

Essential concepts to master this topic

Rule: Empty positions represent zeros in place value notation
Technique: Multiply each digit by its place value: 5×1,000,000 = 5,000,000
Check: Count zeros and commas match: 5,800,000 has 6 digits after 5 ✓

Common Mistakes

Avoid these frequent errors

Ignoring empty positions between filled ones
Don't skip empty positions like tens of thousands and thousands = missing zeros! This creates numbers like 584 instead of 5,800,000. Always place zeros in all empty positions between the highest and lowest filled places.

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

What do I do with the empty columns in the chart?

Empty columns represent zeros in your final number! If there's no digit shown, that place value contributes 0 to the total. Don't skip these positions when writing your answer.

How do I know where to put the commas?

Use the place value positions as your guide. Commas go every three digits from right to left: ones/tens/hundreds, then comma, then thousands/ten-thousands/hundred-thousands, then comma, then millions.

Why is my answer different from 584?

You're missing the empty positions! The chart shows 5 in millions, 8 in hundred-thousands, and 4 in hundreds. All the spaces in between (like thousands and tens) are zeros, giving you $5,800,000$ .

How can I double-check my place value reading?

Break it down step by step: 5 million + 8 hundred-thousand + 4 hundred = $5,000,000 + 800,000 + 400 = 5,800,400$ . Then verify by reading your number aloud.

What's the difference between 5,840,000 and 5,804,000?

Look carefully at the chart! The 4 is in the hundreds position, not the ten-thousands position. This gives $5,804,000$ (five million, eight hundred four thousand).

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