To express the number -60.13 in scientific notation, we need to convert it into the form [tex]\( a \times 10^n \)[/tex], where [tex]\( 1 \leq |a| < 10 \)[/tex] and [tex]\( n \)[/tex] is an integer.
1. Identify the decimal point movement:
- The original number is -60.13.
- To get a number between 1 and 10, we need to move the decimal point in -60.13 one place to the left to get -6.013.
2. Determine the exponent:
- Since we moved the decimal point one place to the left, we are effectively dividing the number by 10.
- To compensate for this, we multiply by [tex]\( 10^1 \)[/tex].
Therefore, -60.13 can be written in scientific notation as:
[tex]\[ -6.01 \times 10^1 \][/tex]
Note that we round -6.013 to -6.01 to maintain the standard scientific notation format. So, the final answer in scientific notation is:
[tex]\[ -6.01 \times 10^1 \][/tex]
Expressed in the notation commonly used for scientific values:
[tex]\[ -6.01e+01 \][/tex]
