To convert the number [tex]\( 0.0602 \times 10^{25} \)[/tex] into correct scientific notation, follow these steps:
### Step 1: Identify the Initial Number and Exponent
The initial number given is [tex]\( 0.0602 \)[/tex], and it is multiplied by [tex]\( 10^{25} \)[/tex].
### Step 2: Adjust the Coefficient for Scientific Notation
In scientific notation, the coefficient (a number) must be between 1 and 10. To accomplish this, we need to move the decimal point in the number [tex]\( 0.0602 \)[/tex]:
- Move the decimal point one place to the right to get [tex]\( 0.602 \)[/tex].
### Step 3: Adjust the Exponent Accordingly
Because we moved the decimal point one place to the right, we must decrease the original exponent by 1 to account for this adjustment:
- Original exponent: [tex]\( 25 \)[/tex]
- New exponent after adjusting the decimal point: [tex]\( 25 - 1 = 24 \)[/tex]
### Step 4: Write the Final Scientific Notation
Combining the adjusted coefficient and the new exponent, the correct scientific notation is:
[tex]\[ 0.602 \times 10^{24} \][/tex]
So, the coefficient to enter in the green box is [tex]\( 0.602 \)[/tex], and the exponent to enter in the yellow box is [tex]\( 24 \)[/tex].
