帮我解答---**Question Stem:**
How many digits are in (5 x 10^12)(20 x 10^8)?
**Options:**
A. 21
B. 22
C. 23
D. 24
E. 25
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Let's solve this scientific notation problem. We need to find how many digits are in the product (5 × 10¹²)(20 × 10⁸). First, we'll handle the coefficients and exponents separately, then use the multiplication rule for powers with the same base.
Now let's understand what 10²² means in standard form. 10²² is 1 followed by 22 zeros. To count the digits, we have the initial 1, plus 22 zeros, giving us a total of 23 digits.
Therefore, the answer is C. The product (5 × 10¹²)(20 × 10⁸) equals 10²², which has 23 digits when written in standard form.
Now let's understand what 10²² means in standard form. 10²² is 1 followed by 22 zeros. To count the digits, we have the initial 1, plus 22 zeros, giving us a total of 23 digits.
Therefore, the answer is C. The product (5 × 10¹²)(20 × 10⁸) equals 10²², which has 23 digits when written in standard form.