Problem 126

Question

How do you know if a number is written in scientific notation?

Step-by-Step Solution

Verified
Answer
A number is in scientific notation if it is expressed as a product of two factors, where the first is between 1 and 10, and the second is a power of 10.
1Step 1: Checking the digit
Examine the number and assess whether it is expressed as a product of two factors, with the first factor having a value between 1 and 10 (inclusive of 1 but exclusive of 10).
2Step 2: Check the multiplier
Evaluate if the second factor of the number is a power of 10. Note that this includes 10 raised to the power of a positive integer for numbers greater than 1, and 10 raised to the power of a negative integer for numbers less than 1.
3Step 3: Make a conclusion
If both conditions are met, the number is written in scientific notation.