A Is the number written in scientific notation? Why or why not? 3.6 𝑥 100^7
Is the number written in scientific notation? Why or why not? 3.1 𝑥 106−5
scientific notation is
Nx10^p where
0 <= N < 10
p is an integer
Now see why the examples do or do not fit that pattern
I don't understand.
A number is written in scientific notation if it is in the form 𝑎 × 10^𝑏, where 𝑎 is a decimal number between 1 and 10 (excluding 10) and 𝑏 is an integer.
1. For the number 3.6 𝑥 100^7:
Yes, the number is written in scientific notation because we can rewrite it as 3.6 × 10^700.
2. For the number 3.1 𝑥 106−5:
No, the number is not written in scientific notation because the exponent is negative. In scientific notation, the exponent should be a non-negative integer.
To determine whether a number is written in scientific notation, we need to look for two key components: a coefficient and an exponent.
In the first example, 3.6 𝑥 100^7, we have a coefficient of 3.6 and an exponent of 7. The number 100 raised to the power of 7 indicates that we are multiplying 100 by itself 7 times. Therefore, this number is written in scientific notation because it has a coefficient between 1 and 10, and it is multiplied by a power of 10.
In the second example, 3.1 𝑥 106−5, we have a coefficient of 3.1 and an exponent of 6−5. However, this expression is not a valid scientific notation representation because the exponent is not a positive integer. In scientific notation, the exponent should indicate a power of 10 by which the coefficient is multiplied. In this case, the exponent is negative, which means we are dividing the coefficient by 10 raised to the power of 5. Therefore, this number is not in scientific notation.