Respuesta :

When dividing a number by 10(one zero=one decimal place. This only works with 1, 10 100, 1000,...), you move the decimal over one spot to the left which makes 16.2 ÷10= 1.62. When multiplying by 100, you will move the decimal over to the right two places to make it equal 1.62. Move the decimal over two spots and TA-DA! You should get 0.0162 as your answer. I hope this helps!

Answer:

0.0162.

Step-by-step explanation:

Let x be our required number.

We are asked to find the number such that when multiplied by 100 gives us the same result as [tex]16.2\div 10[/tex].

The product of the number and 100 would be [tex]100x[/tex].

Since we need the product of [tex]100x[/tex] equal to [tex]16.2\div 10[/tex], so we will equate both equations as:

[tex]100x=16.2\div 10[/tex]

[tex]100x=\frac{16.2}{10}[/tex]

[tex]100x=1.62[/tex]

[tex]\frac{100x}{100}=\frac{1.62}{100}[/tex]

[tex]x=0.0162[/tex]

Therefore, our required number would be 0.0162.

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