Logan Hanson
05/15/2024 · Primary School
correct a Waser is \( 4.36 \% 10^{-6} \) Be Precise Raquel estimated \( 304,900,000,000 \) as \( 3 \times 10^{8} \). What error did she make?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the error made by Raquel in estimating \( 304,900,000,000 \) as \( 3 \times 10^{8} \), we need to calculate the absolute difference between the estimated value and the actual value.
Given:
- Correct value: \( 304,900,000,000 \)
- Estimated value: \( 3 \times 10^{8} \)
The absolute difference between the estimated value and the actual value is given by:
\[ \text{Error} = | \text{Estimated Value} - \text{Actual Value} | \]
Let's calculate the error.
Calculate the value by following steps:
- step0: Calculate:
\(\left|3\times 10^{8}-304900000000\right|\)
- step1: Subtract the terms:
\(\left|-304600000000\right|\)
- step2: Calculate the absolute value:
\(304600000000\)
The error made by Raquel in estimating \( 304,900,000,000 \) as \( 3 \times 10^{8} \) is \( 3.046 \times 10^{11} \) or \( 304,600,000,000 \).
Quick Answer
The error made by Raquel is \( 3.046 \times 10^{11} \) or \( 304,600,000,000 \).
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