QUESTION IMAGE
Question
how many significant digits does the following value have?
170
question 10 2 pts
how many significant digits does the following value have?
5,050
Response
First Sub - Question (Value: 170)
Step 1: Recall significant digit rules
Significant digits are the digits that carry meaning contributing to the precision of a number. For non - decimal numbers:
- Non - zero digits are always significant.
- Trailing zeros in a whole number without a decimal point may or may not be significant. In the number 170, the non - zero digits 1 and 7 are significant. The trailing zero is not considered significant because there is no decimal point to indicate that it is a significant figure.
Step 2: Count the significant digits
The non - zero digits 1 and 7 are significant, so we count them.
Step 1: Recall significant digit rules
For numbers with internal zeros:
- Non - zero digits are significant.
- Zeros between non - zero digits are significant.
- Trailing zeros in a whole number without a decimal point may or may not be significant. In the number 5,050, the non - zero digits 5 (first), 5 (second) are significant. The zero between the two 5s is also significant. The trailing zero is not significant as there is no decimal point.
Step 2: Count the significant digits
We have the digits 5, 0 (between the two 5s), and 5. So we count these three digits.
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