Part 1Determine the number of significant digits in each of the given approximate numbers. 200200; 200.0200.0; 20 0 overbar200 Part 1The number of significant digits in 200200 is [input]22 .

Question

Part 1Determine the number of significant digits in each of the given approximate numbers. 200200​; 200.0200.0​; 20 0 overbar200 Part 1The number of significant digits in 200200 is [input]22 .

BlackTom AI · Accepted Answer

All digits shown in an explicitly approximate number are treated as significant; thus 200200 has six significant digits.

1) Relevant knowledge points and concepts
- Significant-figure rules: nonzero digits are always significant. Zeros between nonzero digits are significant. Leading zeros are not significant. Trailing zeros in an integer without a decimal point can be ambiguous unless the number is explicitly given as an approximation; when a number is specifically stated to be an approximation (or written with an overbar/decimal), all displayed digits are treated as significant.

2) Step-by-step reasoning
- Write the number with digits separated: 2 0 0 2 0 0.
- Identify nonzero digits: the two 2’s (first and fourth positions) are significant.
- Identify zeros: the two zeros between the first 2 and the second 2 are between nonzero digits → significant. The two zeros after the final 2 are trailing zeros; because the problem explicitly labels the values as approximate numbers, those trailing zeros are also significant.

3) Intermediate counting steps
- Count each digit considered significant:
  - First digit: 2 → significant (1)
  - Second digit: 0 (between nonzero digits or part of the approximation) → significant (2)
  - Third digit: 0 (between nonzero digits) → significant (3)
  - Fourth digit: 2 → significant (4)
  - Fifth digit: 0 (trailing, but given as part of the approximation) → significant (5)
  - Sixth digit: 0 (trailing, but given as part of the approximation) → significant (6)

4) Why the correct answer is correct
- Because the number is presented as an approximate value, every digit shown (including zeros between nonzero digits and trailing zeros) counts as a significant digit. That yields a total of six significant digits.

5) Why other counts would be incorrect
- Claiming 3 significant digits would count only the nonzero digits and ignore zeros between them — incorrect because interior zeros are significant.
- Claiming 4 or 5 would arbitrarily treat some zeros as non-significant; without additional notation (like a decimal point omitted or a bar indicating repeating zeros), the problem’s “approximate” label means all displayed digits are significant.

6) Conclusion
- The number 200200 has 6 significant digits, which matches the provided answer: 6.

Part 1Determine the number of significant digits in each of the given approximate numbers. 200200; 200.0200.0; 20 0 overbar200 Part 1The number of significant digits in 200200 is [input]22 .多项填空题

类似问题

How many significant digits should be reported in the answer to the following calculation? 在以下计算的答案中应报告多少位有效数字？ (4.3 - 3.7) × 12.3 = （4.3 - 3.7） × 12.3 =

How many significant digits are there in 0.000350 ?

Give the number of significant figures in each of the following: 2.30

How many significant digits are in the number: 730

How many significant digits are in the number: 0.0059

In a calculation, a scientist obtained the number 0.0008367070 on a calculator. If the number actually had five (5) significant figures, how should it be written?

What is the solution? 1.00×10−153.9×10−7\frac{1.00\times10^{-15}}{3.9\times10^{-7}} [Fill in the blank], x 10[Fill in the blank], Answer to y must have the correct number of significant figures.

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单

Part 1Determine the number of significant digits in each of the given approximate numbers. 200200​; 200.0200.0​; 20 0 overbar200 Part 1The number of significant digits in 200200 is [input]22 .多项填空题