In the number 8723.1643 the value of the place occupied by the digit 7 is how many times as great as the value of the place occupied by digit 4?

To determine how many times the value of the digit 7 is greater than the value of the digit 4 in the number 8723.1643, we need to look at the place values of these digits.

- **7 is in the hundreds place**, meaning its value is:
  \[
  7 \times 100 = 700
  \]

- **4 is in the ten-thousandths place**, meaning its value is:
  \[
  4 \times 0.0001 = 0.0004
  \]

Now, to find how many times greater 700 is compared to 0.0004, divide 700 by 0.0004:
\[
\frac{700}{0.0004} = 1,750,000
\]

Thus, the value of the digit 7 is **1,750,000 times greater** than the value of the digit 4.

Do you want more details or have any questions?

Here are 5 related questions:
1. What is the place value of the digit 8 in the number 8723.1643?
2. How would you calculate the value of a digit in the thousandths place?
3. What is the relationship between place values in a decimal system?
4. If the digit 2 was in the thousandths place, how would its value compare to the digit 7 in the hundreds place?
5. How does the place value of digits change when moving from left to right in a decimal number?

**Tip:** The place value of digits in a number decreases by a factor of 10 as you move one place to the right.

Explore how to calculate the ratio of place values in the number 8723.1643. Learn that the digit 7 in the hundreds place is 1,750,000 times greater than the digit 4 in the ten-thousandths place using basic place value principles and ratios. This problem is ideal for students in Grades 5-7.

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