Pregunta
Jse your calculator to calculate: \[ \left(1,159 \times 10^{7}\right) \times\left(5,742 \times 10^{-13}\right) \] INSTRUCTION: Write your answer in scientific notation, and then round it to three decimal places.
Ask by Long Salinas. in South Africa
Feb 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The result is \(6.655 \times 10^{-6}\).
Solución
Calculate or simplify the expression \( (1.159 \times 10^{7}) \times (5.742 \times 10^{-13}) \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(1.159\times 10^{7}\right)\left(5.742\times 10^{-13}\right)\)
- step1: Evaluate:
\(1.159\times 10^{7}\times 5.742\times 10^{-13}\)
- step2: Multiply the numbers:
\(6.654978\times 10^{7}\times 10^{-13}\)
- step3: Multiply:
\(6.654978\times 10^{-6}\)
The result of the calculation is \(6.654978 \times 10^{-6}\).
To write the answer in scientific notation and then round it to three decimal places, we can express it as \(6.655 \times 10^{-6}\) and then round it to three decimal places, which gives us \(6.655 \times 10^{-6}\).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
To solve the expression, we first multiply the coefficients and then add the exponents of the powers of ten: \[ (1,159 \times 5.742) \times 10^{(7 + (-13))} = 6,644.658 \times 10^{-6} \] Now, we convert \(6,644.658\) to scientific notation: \[ 6.644658 \times 10^3 \times 10^{-6} = 6.644658 \times 10^{-3} \] Rounding \(6.644658\) to three decimal places gives us \(6.645\). So, the final answer in scientific notation is: \[ 6.645 \times 10^{-3} \]
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