Number Identification: Which Expression Equals 63,115?

Place Value Identification with Multi-Digit Numbers

Choose the correct exercises that produces the number 63,115.

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the correct exercises that produces the number 63,115.

2

Step-by-step solution

To solve this problem, we'll break down the number 63,115 based on its decimal structure:

  • Identify the place values and their contributions:
    • The digit 6 is in the ten-thousand place, representing 6×10,0006 \times 10,000.
    • The digit 3 is in the thousand place, representing 3×1,0003 \times 1,000.
    • The digit 2 is in the hundred place, representing 2×1002 \times 100.
    • The digit 1 is in the ten place, representing 1×101 \times 10.
    • The digit 5 is in the unit place, representing 5×15 \times 1.
  • After expressing each digit's contribution, combine them to verify the complete expression:

    63,115=6×10,000+3×1,000+2×100+1×10+5×163,115 = 6 \times 10,000 + 3 \times 1,000 + 2 \times 100 + 1 \times 10 + 5 \times 1.

Comparing these with the answer choices, we find that the correct expression is:

63,115=6×10,000+3×1,000+2×100+2×10+5×1 63,115 = 6 \times 10,000 + 3 \times 1,000 + 2 \times 100 + 2 \times 10 + 5 \times 1

Therefore, the correct choice is choice 4. Hence, the solution to the problem is 63,115=6×10,000+3×1,000+2×100+2×10+5×1 63,115 = 6 \times 10,000 + 3 \times 1,000 + 2 \times 100 + 2 \times 10 + 5 \times 1 .

3

Final Answer

63,115=6×10,000+3×1,000+2×100+2×10+5×1 63,115=6\times10,000+3\times1,000+2\times100+2\times10+5\times1

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each digit represents its value times the place position
  • Technique: Break down 63,115 as 6×10,000 + 3×1,000 + 2×100 + 1×10 + 5×1
  • Check: Add up all products to verify they equal 63,115 ✓

Common Mistakes

Avoid these frequent errors
  • Misreading the actual digit in each place value position
    Don't assume the digit in the tens place of 63,115 is 5 = wrong expanded form! The tens place contains 1, not 5. Always identify each digit's exact position: 6(ten-thousands), 3(thousands), 1(hundreds), 1(tens), 5(ones).

Practice Quiz

Test your knowledge with interactive questions

What number do the units shown below represent?

10,0001000111010100011

UnitsTensHundredsThousandsBeforeConversionAfterConversionTens ofThousands

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 value is which?

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Start from the right side and work left: ones, tens, hundreds, thousands, ten-thousands. Each place is 10 times bigger than the one before it!

What does the comma in 63,115 mean?

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The comma separates thousands from hundreds. Numbers to the left of the comma are thousands or bigger, numbers to the right are hundreds or smaller.

Why do some expressions have zeros in them?

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When a place value has no value, we use 0× 0 \times that place. For example, if there's no hundreds digit, we write 0×100 0 \times 100 .

How can I double-check my expanded form?

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Calculate each product and add them up! 6×10,000=60,000 6 \times 10,000 = 60,000 , 3×1,000=3,000 3 \times 1,000 = 3,000 , etc. The sum should equal your original number.

What if I mix up the digits?

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Always write the number above your work and point to each digit as you identify its place value. This prevents confusion between similar-looking digits.

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