Problem Analysis:
The task involves identifying the number of
significant figures in given numerical values. Significant figures are crucial in scientific measurements and calculations, as they indicate the precision of a value.
#### Key Rules for Determining Significant Figures:
1.
Non-zero digits are always significant.
2.
Zeros:
- Leading zeros (zeros before the first non-zero digit) are
not significant.
- Captive zeros (zeros between non-zero digits) are
significant.
- Trailing zeros (zeros after the last non-zero digit):
- If there is a decimal point, trailing zeros are
significant.
- If there is no decimal point, trailing zeros may or may not be significant (depending on context).
3.
Exact numbers (e.g., counts or defined quantities) have an infinite number of significant figures.
---
Step-by-Step Solution:
#### Question 1: How many significant figures does the number 0.00456 have?
- The number is
0.00456.
- Leading zeros (
0.00) are not significant.
- The digits
4, 5, 6 are significant.
- Total significant figures:
3.
Answer: 3
---
#### Question 2: How many significant figures does the number 100.0 have?
- The number is
100.0.
- The digits
1, 0, 0, 0 are all significant because there is a decimal point, making the trailing zero significant.
- Total significant figures:
4.
Answer: 4
---
#### Question 3: How many significant figures does the number 123,000 have?
- The number is
123,000.
- The digits
1, 2, 3 are significant.
- The trailing zeros (
0, 0, 0) are not significant because there is no decimal point.
- Total significant figures:
3.
Answer: 3
---
#### Question 4: How many significant figures does the number 0.000001 have?
- The number is
0.000001.
- Leading zeros (
0.00000) are not significant.
- The digit
1 is significant.
- Total significant figures:
1.
Answer: 1
---
#### Question 5: How many significant figures does the number 1.000 have?
- The number is
1.000.
- All digits (
1, 0, 0, 0) are significant because there is a decimal point, making the trailing zeros significant.
- Total significant figures:
4.
Answer: 4
---
Final Answer:
\[
\boxed{3, 4, 3, 1, 4}
\]
Parent Tip: Review the logic above to help your child master the concept of significant digits worksheet.
