Answer:
Step-by-step explanation:
-4.5 x 2.5 = -11.25
Convert to fraction form
-11 1/4
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Answer:
The product of [tex]-4_{2}^{1} \text { and } 2_{2}^{1} \text { is }-11_{4}^{1}[/tex]
Solution:
When we multiply a negative number with a positive number we get the resultant product as a negative number.
Here we have to multiply [tex]-4 \frac{1}{2}[/tex] which is a negative number and [tex]2_{2}^{1}[/tex] which is a positive number.
[tex]-4\frac{1}{2}[/tex] can be written in fraction form as [tex]-\frac{[(4 \times 2)+1]}{2}=-\frac{9}{2}[/tex]
Similarly
[tex]2_{2}^{1} \text { can be written in fraction form as } \frac{[(2 \times 2)+1]}{2}=\frac{5}{2}[/tex]
Now, on multiplying we get,
[tex]\begin{aligned}-4_{2}^{1} & \times 2 \frac{1}{2}=-\frac{9}{2} \times \frac{5}{2} \\\\ &=-\frac{45}{4} \end{aligned}[/tex]
Now when we divide 45 by 4 we get 11 as quotient and 1 as remainder.
Therefore [tex]\frac{-45}{4}[/tex] in mixed form can be written as [tex]-11\frac{1}{4}[/tex]
