Perform the indicated operation and write the answer in decimal notation.(3×103)(1.3×102)(3\$$times10^3)(1.3$$\$$times10^2)$$

Ch. P - Fundamental Concepts of Algebra

Blitzer8th EditionCollege AlgebraISBN: 9780136970514당신이 사용하는 게 아니라요?교과서 변경

모든 교과서

Blitzer 8th Edition

Ch. P - Fundamental Concepts of Algebra

문제 36

1장, 문제 36

Perform the indicated operation and write the answer in decimal notation. $(3 \times 10^{3}) (1.3 \times 10^{2})$

검증된 단계별 안내

Identify the given expression: $ (3 \times 10^{3}) (1.3 \times 10^{2}) $. This is a multiplication of two numbers expressed in scientific notation.

Use the property of exponents and multiplication: when multiplying numbers in scientific notation, multiply the coefficients (the numbers in front) and add the exponents of 10. So, multiply 3 and 1.3, and add the exponents 3 and 2.

Calculate the product of the coefficients: $3 \times 1.3$.

Add the exponents of 10: $3 + 2$ to get the new exponent.

Combine the results to write the product in scientific notation, then convert this scientific notation to decimal notation by moving the decimal point according to the exponent.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

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

Scientific Notation

Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. It simplifies working with very large or small numbers by using exponents, such as 3 × 10^3 representing 3000.

Multiplication of Numbers in Scientific Notation

When multiplying numbers in scientific notation, multiply the decimal parts and add the exponents of 10. For example, (3 × 10^3)(1.3 × 10^2) equals (3 × 1.3) × 10^(3+2).

Conversion to Decimal Notation

After performing operations in scientific notation, convert the result to decimal notation by calculating the power of 10 and multiplying it by the decimal number. This gives the final answer in standard numerical form.

Perform the indicated operation and write the answer in decimal notation.(3×103)(1.3×102)(3\(\times\)10^3)(1.3\(\times\)10^2)