Question
Which sign makes the statement true? \( 6.58 \times 10^{1} ? 6.58 \times 10^{3} \) \( > \)
Ask by Clark Delgado. in the United States
Dec 23,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
La respuesta correcta es \( < \).
Solution
Calculate or simplify the expression \( 6.58 \times 10^{1} - 6.58 \times 10^{3} \).
Calculate the value by following steps:
- step0: Calculate:
\(6.58\times 10-6.58\times 10^{3}\)
- step1: Subtract the numbers:
\(-6514.2\)
El resultado de la expresión \(6.58 \times 10^{1} - 6.58 \times 10^{3}\) es -6514.2. Por lo tanto, la afirmación \(6.58 \times 10^{1} < 6.58 \times 10^{3}\) es verdadera.
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Simplify this solution The Deep Dive
To determine which sign makes the statement true, we need to evaluate \( 6.58 \times 10^{1} \) and \( 6.58 \times 10^{3} \). The first number simplifies to \( 65.8 \) and the second simplifies to \( 6580 \). Clearly, \( 65.8 < 6580 \), so the appropriate sign is \( < \). Therefore, the correct statement is: \( 6.58 \times 10^{1} < 6.58 \times 10^{3} \)
