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Drag the numbers below to complete the statements about these two numbers. Numbers may be used once, more than once, or not at all.

(2 points)
The value of the digit 1,7,10, or 100 in 71,000 is ten times the value of the digit in 17,000.
The value of the digit 1,7,10, or 100 in 17,000 is ten times the value of the digit 1,7,10, or 100 in 71,000

1 answer

To complete the statements, we need to understand the place value of each digit in the numbers 71,000 and 17,000.

  1. In 71,000:

    • The digit 7 is in the ten-thousands place, which means its value is 70,000.
    • The digit 1 is in the thousands place, which means its value is 1,000.

  2. In 17,000:

    • The digit 1 is in the ten-thousands place, which means its value is 10,000.
    • The digit 7 is in the thousands place, which means its value is 7,000.

Now we can evaluate the statements:

  1. The value of the digit 1, 7, 10, or 100 in 71,000 is ten times the value of the digit in 17,000.

    • If we take the digit 7 in 71,000 (which has a value of 70,000) and compare it to the digit 1 in 17,000 (which has a value of 10,000), then:

      • 70,000 is indeed ten times 10,000.

    • So, the completed statement is:
      The value of the digit 7 in 71,000 is ten times the value of the digit 1 in 17,000.

  2. The value of the digit 1, 7, 10, or 100 in 17,000 is ten times the value of the digit 1, 7, 10, or 100 in 71,000.

    • If we take the digit 1 in 17,000 (which has a value of 10,000) and compare it to the digit 7 in 71,000 (which has a value of 70,000), then:

      • 10,000 is not ten times 70,000.

    • Instead, if we take the digit 1 in 71,000 (which has a value of 1,000) and compare to 7 in 17,000 (which has a value of 7,000), then:

      • 7,000 is indeed seven times 1,000.

Thus, the second statement does not hold true in the context described.

Summarizing:

  1. The value of the digit 7 in 71,000 is ten times the value of the digit 1 in 17,000.
  2. The value of the digit 1 in 71,000 is not ten times the value of the digit 7 in 17,000, but rather one-seventh.

So, only the first completed statement is correct in this context.