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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Brown 15th EditionCh.1 - Introduction: Matter, Energy, and Measurement문제 50a
1장, 문제 50a

Carry out the following operations and express the answers with the appropriate number of significant numbers. (a) 320.5 − (6104.5/2.3)

검증된 단계별 안내
1
Identify the operations to be performed: subtraction and division.
Perform the division first: \( 6104.5 \div 2.3 \).
Determine the number of significant figures for the division result. The number 6104.5 has 5 significant figures, and 2.3 has 2 significant figures, so the result should have 2 significant figures.
Subtract the division result from 320.5: \( 320.5 - \text{(division result)} \).
Determine the number of significant figures for the subtraction result. The number 320.5 has 4 significant figures, so the final answer should be rounded to the least number of decimal places present in the numbers involved in the subtraction.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
1m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. When performing calculations, the result should be reported with the same number of significant figures as the measurement with the least number of significant figures to ensure accuracy.
추천 영상:
가이드 코스
01:09
Significant Figures Example

Order of Operations

The order of operations is a set of rules that dictates the sequence in which calculations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In the given question, division must be performed before subtraction to arrive at the correct answer.
추천 영상:
가이드 코스
03:10
Scientific Notation Mixed Operations

Arithmetic Operations with Decimals

When performing arithmetic operations with decimal numbers, it is essential to align the decimal points and maintain precision throughout the calculation. For subtraction, the result should be rounded to the least precise decimal place of the numbers involved. This ensures that the final answer reflects the accuracy of the original measurements.
추천 영상:
가이드 코스
03:10
Scientific Notation Mixed Operations
관련 실천
교과서 질문

Carry out the following operations and express the answers with the appropriate number of significant numbers. (c) (3.29×104)(0.2501)

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교과서 질문

Carry out the following operations and express the answers in exponential notation with the appropriate number of significant figures.

a. 2.791×104 + 8.76×103

b. 4.67×102 − 5.4437×104

c. (2.481×10−2 + 7.33×10−4) × (1.924×10−2 + 6.70)

d. (1.3×10−4 − 3.746×10−2)/(1.3×102 − 3.746×104)

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Carry out the following operations and express the answers with the appropriate number of significant numbers. (a) 14.3505 + 2.65 (b) 952.72 - 73.4201

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교과서 질문

You have a graduated cylinder that contains a liquid (see photograph). Write the volume of the liquid, in milliliters, using the proper number of significant figures.

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교과서 질문

Carry out the following operations and express the answers in exponential notation with the appropriate number of significant figures.

a. 2.791×104 + 8.76×103

b. 4.67×102 − 5.4437×104

c. (2.481×10−2 + 7.33×10−4) × (1.924×10−2 + 6.70)

d. (1.3×10−4 − 3.746×10−2)/(1.3×102 − 3.746×104)

교과서 질문

Carry out the following operations and express the answers with the appropriate number of significant numbers. (d) 0.0588/0.677

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