Let's solve this problem step-by-step to determine which number in scientific notation is equal to 0.00062.
First, we need to understand what scientific notation is. Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. A number is written in scientific notation when it is in the form of [tex]\( a \times 10^n \)[/tex], where [tex]\( 1 \leq a < 10 \)[/tex] and [tex]\( n \)[/tex] is an integer.
Now, we are given the number 0.00062 and we want to express it in scientific notation.
1. Move the decimal point to the right of the first non-zero digit.
- 0.00062 becomes 6.2 after moving the decimal point four places to the right.
2. Count how many places you moved the decimal point.
- The decimal point was moved 4 places to the right.
3. Since we moved the decimal point to the right, the exponent will be negative.
- Therefore, the exponent is [tex]\(-4\)[/tex].
Putting this together, 0.00062 in scientific notation is [tex]\( 6.2 \times 10^{-4} \)[/tex].
Let's verify this against the given options:
- Option A: [tex]\( 6.2 \times 10^{-4} \)[/tex]
- This matches our calculation exactly.
- Option B: [tex]\( 6.02 \times 10^{-3} \)[/tex]
- [tex]\( 6.02 \times 10^{-3} \)[/tex] is equal to 0.00602, which is larger than 0.00062.
- Option C: [tex]\( 6.2 \times 10^4 \)[/tex]
- [tex]\( 6.2 \times 10^4 \)[/tex] is equal to 62000, which is much larger than 0.00062.
- Option D: [tex]\( 62.0 \times 10^3 \)[/tex]
- [tex]\( 62.0 \times 10^3 \)[/tex] is equal to 62000, which is also much larger than 0.00062.
Therefore, the number in scientific notation that is equal to 0.00062 is:
A. [tex]\( 6.2 \times 10^{-4} \)[/tex]
