and again, this same issue appears later in the lesson. It is written thusly:Find the product of 0.00435 and 4.6 to the appropriate number of digits.
First I multiply:
0.00435 × 4.6 = 0.02001
Looking at the original numbers, I see that 4.6 has only two significant digits, so I will have to round 0.02001 to two significant digits. The 2 is the first significant digit, so the 0 following it will have to be the second significant digits. In other words, I must report the answer as being:
0.00435 × 4.6 = 0.020
The answer should not be 0.02, because 0.02 has only one significant digit; namely, the "2". The trailing zero in 0.020 indicates that "this is accurate to the thousandths place, or two significant digits", and is therefore a necessary part of the answer.
If all zeros to the right of the decimal are significant, why then do these examples state that it isnt so?