Decimal Place Value: Identifying 37,453 Using Position Charts

Question

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

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 .

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