30,000 expressed in scientific notation?
1 answer:
Answer: 3 ×
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only 1 digit to the left of the decimal point. In this case, we can write 30,000 as 3.0000 and notice that there is only 1 digit to the left of the decimal point.
Next, we count the number of places the decimal point would need to move to get back to the original number which is 30,000. Since we would need to move the decimal point 4 places to the right, this gives us an exponent of positive 4. So, we can write this in scientific notation.
3.0000 ×
The exponent is positive because we would need to move the decimal point 4 places to the right in order to get back to our original number.
We can also write it as 3 × since we can drop zeroes at the end of the decimal.
Therefore, 30,000 can be written in scientific notation as 3 × .
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Answer:
The state can issue 456,976,000 license plates.
Step-by-step explanation:
For digits, it is assumed that we can use 0-9. Thus, there are 10 options for each slot with a digit.
For letters, it is assumed that we can use the 26 letters of the alphabet (i.e. A through Z). Thus, there are 26 options for each slot with a letter.
For this particular problem, the slot method can be used. Assuming that repetition of letters/digits is allowed:
= 10*26*26*26*26*10*10
=456,976,000.
Therefore, the state can issue 456,976,000 license plates.