Question

1. determine if the number is written in scientific notation. if not, explain 32x10^4

a. no; it is not written as a power of 10
b. no; the first factor is not a number between 1 and 10
c. yes; the number is written in scientific notation

2. determine if the number is written in scientific notation. if not, explain 2.01x 10^-5
a. no; it is not written as a power of 10
b. no; the first factor is not a number between 1 and 10
c. yes; the number is written in scientific notation

Answer 1

1)

option b is correct.

2)

Option c is correct.

Explanation:

We know that any number is in scientific notation if it could be represented as:

So the number is written in two parts:

• Just the digits (with the decimal point placed after the first digit), followed by

• × 10 to a power that puts the decimal point where it should be .

1)

32×10^4 is not expressed in scientific notation as the decimal point is not placed after the first digit.

Hence option b is correct.

The number in scientific notation is:

(3.2×10^5)

2)

2.01×10^-5.

Yes, the given expression is in scientific notation as it satisfies the above two rules of number in scientific notation.

Hence, option c is correct.

Answer 2

1) 32*10^4 is not written in scientific notation because the first factor is not a number betweem 1 and 10.

3.4 * 10^5 is the same number written in scientific notation.

2) 2.01x10^-5 is written in scientific notation.