Option D:
–8 ÷ (–4) is equivalent to –18 ÷ (–9).
Solution:
Given expression:
–18 ÷ (–9)
Let us first solve this expression.
[tex]$-18 \div (-9) = \frac{-18}{-9}[/tex]
= 2 (negative by negative is positive)
To find which expression has the same value for the given expression:
Option A: –18 ÷ 2
[tex]$-18 \div 2 = \frac{-18}{2}[/tex]
= –9 (negative by positive is negative)
This is not equivalent expression.
Option B: –12 ÷ (–3)
[tex]$-12 \div (-3) = \frac{-12}{-3}[/tex]
= 4 (negative by negative is positive)
This is not equivalent expression.
Option C: –10 ÷ 5
[tex]$-10 \div 5 = \frac{-10}{5}[/tex]
= –2 (negative by positive is negative)
This is not equivalent expression.
Option D: –8 ÷ (–4)
[tex]$-8 \div (-4) = \frac{-8}{-4}[/tex]
= 2 (negative by negative is positive)
This is the equivalent expression to the given expression.
Hence –8 ÷ (–4) is equivalent to –18 ÷ (–9).
Option D is the correct answer.
