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What number do you get if you multiply 7 by 10?
What number do you get if you multiply 7 by 10 and then multiply it by 10 again?
What number do you get if you multiply 7 by 10 three times (that is, multiply 7 by `10^3`) ?

Ian Barbour, flikr
The order of magnitude is how many times a number must by multiplied by ten to get another number. For example, 70000 is 4 orders of magnitude larger than 7, since 7 must be multiplied by 104 to get 70000.
Another way to look at it is that `70000/7` is 104.
How many orders of magnitude larger is 300 than 3?
Box 1: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
Box 2: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
Box 3: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
Box 4: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity