Decimal Place Value: Identifying 37,453 Using Position Charts

Place Value Decomposition with Five-Digit Numbers

Choose the exercise that results in the number 37,453, according to the decimal place value chart.

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the exercise that results in the number 37,453, according to the decimal place value chart.

2

Step-by-step solution

To solve this problem, we'll check each choice to see which one results in 37,453 when expanded according to the decimal place value chart:
Step 1: Consider each choice and expand according to place values.
Step 2: Calculate for all choices and identify which one results in 37,453.

  • Choice 1: 3×10,000+7×1,000+4×100+5×10+3×1 3 \times 10,000 + 7 \times 1,000 + 4 \times 100 + 5 \times 10 + 3 \times 1
    Calculates to 30,000+7,000+400+50+3=37,453 30,000 + 7,000 + 400 + 50 + 3 = 37,453 .
  • Choice 2: 3×10,000+5×1,000+4×100+7×10+3×1 3 \times 10,000 + 5 \times 1,000 + 4 \times 100 + 7 \times 10 + 3 \times 1
    Calculates to 30,000+5,000+400+70+3=35,473 30,000 + 5,000 + 400 + 70 + 3 = 35,473 .
  • Choice 3: 3×10,000+4×1,000+7×100+5×10+3×1 3 \times 10,000 + 4 \times 1,000 + 7 \times 100 + 5 \times 10 + 3 \times 1
    Calculates to 30,000+4,000+700+50+3=34,753 30,000 + 4,000 + 700 + 50 + 3 = 34,753 .
  • Choice 4: 3×10,000+7×1,000+5×100+4×10+3×1 3 \times 10,000 + 7 \times 1,000 + 5 \times 100 + 4 \times 10 + 3 \times 1
    Calculates to 30,000+7,000+500+40+3=37,543 30,000 + 7,000 + 500 + 40 + 3 = 37,543 .

After checking all choices, only Choice 1 gives us the exact number 37,453.

Therefore, the correct choice is 37,453=3×10,000+7×1,000+4×100+5×10+3×1 37,453 = 3 \times 10,000 + 7 \times 1,000 + 4 \times 100 + 5 \times 10 + 3 \times 1 .

3

Final Answer

37,453=3×10,000+7×1,000+4×100+5×10+3×1 37,453=3\times10,000+7\times1,000+4\times100+5\times10+3\times1

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each digit's position determines its value
  • Technique: Multiply digit by place value: 7 × 1,000 = 7,000
  • Check: Add all components: 30,000 + 7,000 + 400 + 50 + 3 = 37,453 ✓

Common Mistakes

Avoid these frequent errors
  • Mixing up digit positions
    Don't swap digits between place values like putting 5 in thousands instead of tens = wrong number! This changes the entire value because each position has a different worth. Always match each digit to its exact position in the original number.

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?

10,00010,00010,00010,00010101
UnitsTensHundredsThousandsBeforeConversionAfterConversionTens ofThousands

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

FAQ

Everything you need to know about this question

How do I know which digit goes with which place value?

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Look at the original number 37,453 and read from left to right: 3 is in ten-thousands, 7 in thousands, 4 in hundreds, 5 in tens, and 3 in ones position.

Why do some answers look similar but give different results?

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Because position matters! For example, 5 × 1,000 = 5,000 but 5 × 10 = 50. The same digit in different positions creates completely different values.

What's the easiest way to check my answer?

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Calculate each multiplication separately, then add them all up. If your sum equals the original number (37,453), you got it right!

Do I need to memorize all the place values?

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Not exactly! Just remember the pattern: each place value is 10 times larger than the one to its right. So: 1, 10, 100, 1,000, 10,000...

What if I accidentally calculate one part wrong?

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Your final sum won't match 37,453, which tells you there's an error. Double-check each multiplication and try again - it's a great way to catch mistakes!

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