atticus30
Answered

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Select the expression that is equivalent to [tex]$|4-3|$[/tex].

A. 1
B. [tex]$\sqrt{7}$[/tex]
C. [tex][tex]$5i$[/tex][/tex]
D. 5

Sagot :

GinnyAnswer
Let's analyze the given expression and determine its equivalent value step-by-step.

The given expression is [tex]\( |4 - 3| \)[/tex].

1. Subtraction Inside the Absolute Value: First, we need to subtract the numbers inside the absolute value.
[tex]\[ 4 - 3 = 1 \][/tex]

2. Absolute Value Calculation: Next, we take the absolute value of the result. The absolute value of a number is its distance from zero on the number line, without considering the direction. Therefore, the absolute value of 1 is:
[tex]\[ |1| = 1 \][/tex]

Hence, [tex]\( |4 - 3| = 1 \)[/tex].

Now, we need to select the expression that matches this result from the provided options:

1. [tex]\( 1 \)[/tex]
2. [tex]\( \sqrt{7} \)[/tex]
3. [tex]\( 5i \)[/tex]
4. [tex]\( 5 \)[/tex]

From the calculation, we know that the equivalent expression is [tex]\( 1 \)[/tex].

Therefore, the correct option is:

1
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