Desmondj2389idn
Answered

IDNLearn.com connects you with a global community of knowledgeable individuals. Ask your questions and receive detailed and reliable answers from our experienced and knowledgeable community members.

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].
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.