Final answer:
The equation 67.002 divided by an unknown number equals 6.7002 can be solved by dividing 67.002 by 6.7002, which gives 10. Therefore, 67.002 divided by 10 equals 6.7002, and the missing divisor is a power of 10, which is 10 to the power of 1.
Step-by-step explanation:
Expressing the Missing Divisor Using a Power of 10
To express the missing divisor using a power of 10 for the equation 67.002 divided by an unknown number equals 6.7002, we need to determine by what factor the number 67.002 has been reduced to achieve 6.7002. This can be found by dividing 67.002 by 6.7002, which equals 10. Therefore, 67.002 divided by 10 equals 6.7002. The missing divisor is a power of 10, specifically 101, or simply 10.
When dividing by powers of 10, we move the decimal point to the left by as many places as there are zeros in the power of 10. For example, when we divide 1.9436 by 103 (or 1000), we move the decimal point three places to the left, resulting in 0.0019436. Similarly, when we had 67.002 and ended up with 6.7002, the decimal was moved one place to the left indicating division by 101.