anonymous one year ago What is the value of the expression? 9(8) ______ 9(-4) * 9(10)

1. anonymous

@Leong @stacy.reed08 @dan815

2. anonymous

you mean 9 times 8 over [9 times (-4)] times [ 9 times 10] ?

3. sh3lsh

$\frac{ 9*4*2 }{9*4*2*-1*9*5}$

4. sh3lsh

Can you solve it from there?

5. anonymous

yes, one sec....

6. sh3lsh

Hint. Like terms cancel out. So it's just 1/-45

7. anonymous

yeah, that is what i got

8. sh3lsh

bam you're the bomb

9. mathstudent55

$$\dfrac{9(8)}{9(-4) \times 9(10)} =$$ $$=\dfrac{72}{-36 \times 90}$$ $$=\dfrac{\cancel{72}~2}{\cancel{-36}~-1 \times 90}$$ $$= -\dfrac{2}{90}$$ $$= -\dfrac{1}{45}$$

10. anonymous

@sh3lsh : is 9 times (-4), not -8 so you can't : 9*2*4

11. mathstudent55

@Leong @sh3lsh did it correctly. The 2 in 9 * 2 * 4 in the denominator comes from the 10 which is 2 * 5. This is how he did it: $$\dfrac{9(\color{red}{8})}{9(\color{blue}{-4}) \times 9(\color{green}{10})} =$$ $$=\dfrac{9 \times \color{red}{4 \times 2}}{9 \times \color{blue}{(-1) \times 4} \times 9 \times \color{green}{2 \times 5}}$$ $$=\dfrac{9 \times \color{red}{4 \times 2}}{9 \times \color{blue}{4} \times \color{green}{2 \times \color{blue}{(-1) } \times 9 \times 5}}$$ $$=\dfrac{\cancel 9 \times \cancel 4 \times \cancel 2 ~1}{\cancel 9 \times \cancel 4 \times \cancel 2 \times (-1) \times 9 \times 5}$$ $$= \dfrac{1}{-45}$$ $$=-\dfrac{1}{45}$$

12. anonymous

ohhhhhhh