Final answer:
By dividing (6.1) x 10^7 by (2.1) x 10^-4, we get an estimation of 29,047,619 times, making option (b) the correct answer.
Step-by-step explanation:
To estimate how many times (6.1) x 10^7 is greater than (2.1) x 10^-4, we need to divide the two expressions. Using a calculator, we follow these steps:
- Enter (6.1) x 10^7.
- Press the divide (÷) button.
- Enter (2.1) x 10^-4.
- Press the equals (=) button.
The result will be approximately 2.9047619 x 10^11, which we can round to 29,047,619 times as an estimation.
To answer the student's question directly: (6.1) x 10^7 is estimated to be 29,047,619 times greater than (2.1) x 10^-4.
Therefore, the correct answer is option (b) 29,047,619 times.