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8,992

What is the relationship between the value of the 9 in the square and the value of the 9 in the circle in the number above?
A.
The value of the 9 in the circle is 100 times the value of the 9 in the square.

B.
The value of the 9 in the square is 10 times the value of the 9 in the circle.

C.
The value of the 9 in the square is 100 times the value of the 9 in the circle.

D.
The value of the 9 in the circle is 10 times the value of the 9 in the square. there is a square around the first 9 and the second has circle

1 answer

In the number 8,992, we can analyze the value of the two instances of the digit 9.

  1. The 9 in the square (the first 9) is in the hundreds place:

    • The value of this 9 is \(9 \times 100 = 900\).

  2. The 9 in the circle (the second 9) is in the tens place:

    • The value of this 9 is \(9 \times 10 = 90\).

Now, let's compare the two values:

  • The value of the 9 in the square is 900.
  • The value of the 9 in the circle is 90.

Now, let's determine the relationship between these two values:

  • To find how many times the value of the 9 in the circle fits into the value of the 9 in the square, we can divide the value of the first 9 by the value of the second 9: \[ \frac{900}{90} = 10 \]

Thus, the 9 in the square is 10 times the value of the 9 in the circle.

So, the correct answer is: B. The value of the 9 in the square is 10 times the value of the 9 in the circle.