Question

1000m ÷ 100n can be written in the form 10z. Express z in terms of m and n

Answer 1

Answer:

$z=\frac{m}{n}$

Step-by-step explanation:

The 100 will cancel with 1000, leaving 10

Or, 10 hundreds go into a thousand.

So, we have,

$\frac{1000m}{100n} = \frac{10m}{n}=10\frac{m}{n}$

Or,

$10z = 10\frac{m}{n}$

So,

$z=\frac{m}{n}$

Answer 2

The z is expressed as $\dfrac{m}{n}=mn^{-1}$

Step-by-step explanation:

Since we have given that

$1000m\div 100n=\dfrac{1000m}{100n}=\dfrac{10m}{n}=10mn^{-1}$

So, it becomes,

$10mn^{-1}=10z\\\\mn^{-1}=z$

Hence, the z is expressed as $\dfrac{m}{n}=mn^{-1}$

# learn more:

Factorise z²-10z+21=0​

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