8 x 10^5 is How Many Times as Great as 8 x 10^-1
To find out how many times greater 8 x 10^5 is than 8 x 10^-1, we need to perform a division. Here's how:
1. Understand Scientific Notation:
- 8 x 10^5: This represents 8 multiplied by 10 to the power of 5, which is 800,000.
- 8 x 10^-1: This represents 8 multiplied by 10 to the power of -1, which is 0.8.
2. Divide the Larger Number by the Smaller Number:
(8 x 10^5) / (8 x 10^-1) = ?
3. Simplify the Division:
- Cancel out the '8's: (10^5) / (10^-1) = ?
- Remember the rule of exponents when dividing: When dividing exponents with the same base, subtract the powers.
- Therefore: 10^(5 - (-1)) = 10^6
4. The Answer:
8 x 10^5 is 1,000,000 times greater than 8 x 10^-1.