Desmondj2389idn
Answered

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Convert the following number into correct scientific notation.

[tex]\[ 0.0602 \times 10^{25} \][/tex]

[tex]\[ [?] \times 10^{[?]} \][/tex]

Enter the coefficient in the green box and the exponent in the yellow box.

Sagot :

GinnyAnsweridn
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].
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