Pregunta
Use \( =,< \) or \( > \) to complete the statement. \( |28.9|-|-29.1| \) \( |28.9|<|-29.1| \)
Ask by Blake Peterson. in the United States
Mar 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( |28.9| < |-29.1| \)
Solución
Calculate the value by following steps:
- step0: Calculate:
\(\left|28.9\right|\)
- step1: Calculate the absolute value:
\(28.9\)
Calculate or simplify the expression \( |-29.1| \).
Calculate the value by following steps:
- step0: Calculate:
\(\left|-29.1\right|\)
- step1: Calculate the absolute value:
\(29.1\)
To complete the statement \( |28.9| - |-29.1| \), we first need to calculate the absolute values:
1. Calculate \( |28.9| \):
\[
|28.9| = 28.9
\]
2. Calculate \( |-29.1| \):
\[
|-29.1| = 29.1
\]
Now we can substitute these values into the expression:
\[
|28.9| - |-29.1| = 28.9 - 29.1
\]
Next, we perform the subtraction:
\[
28.9 - 29.1 = -0.2
\]
Now we can compare \( |28.9| \) and \( |-29.1| \):
- \( |28.9| = 28.9 \)
- \( |-29.1| = 29.1 \)
Since \( 28.9 < 29.1 \), we can conclude that:
\[
|28.9| < |-29.1|
\]
Thus, the completed statement is:
\[
|28.9| < |-29.1|
\]
Respondido por UpStudy AI y revisado por un tutor profesional
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Beyond the Answer
To understand this statement, let's break it down! The absolute value of a number is its distance from zero on the number line, regardless of direction. So, \( |28.9| = 28.9 \) and \( |-29.1| = 29.1 \). Now we can compare: \( 28.9 < 29.1 \). Therefore, the completed statement is: \( |28.9| < |-29.1| \)

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