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Find the value of the following : |87|...

Find the value of the following :
`|87| div |-87| =`____________

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To solve the problem \( |87| \div |-87| \), we can follow these steps: ### Step 1: Understand the concept of modulus The modulus (or absolute value) of a number is its distance from zero on the number line, regardless of direction. Therefore, the modulus of any number is always non-negative. ### Step 2: Calculate \( |87| \) Since 87 is a positive number, the modulus of 87 is simply: \[ |87| = 87 \] ### Step 3: Calculate \( |-87| \) For -87, which is a negative number, the modulus is: \[ |-87| = 87 \] This is because the modulus of a negative number is the same as the modulus of its positive counterpart. ### Step 4: Divide the two results Now we can substitute the values we found into the expression: \[ |87| \div |-87| = 87 \div 87 \] ### Step 5: Simplify the division Calculating \( 87 \div 87 \) gives: \[ 87 \div 87 = 1 \] ### Final Answer Thus, the value of \( |87| \div |-87| \) is: \[ \boxed{1} \] ---
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