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an image of a snowflake is 1.8 centimeters wide if the actual snowflake is 1/8 the size of the image what is the width of the actual snowflake express your answer in decimal

Respuesta :

1.8 * 1/8 = 0.225, so the width is 0.225 cm. ;)

0.225 centimeters

Further explanation

Given:

  • An image of a snowflake is 1.8 centimeters wide.  
  • The actual snowflake is [tex]\frac{1}{8}[/tex] the size of the image.

Question:

What is the width of the actual snowflake?

The Process:

Since the actual snowflake is part of the image size by [tex]\frac{1}{8}[/tex] part, let us make a model of the image and the actual snowflake.

  • The image of a snowflake: [tex]\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot } \rightarrow 1.8 \ cm [/tex]  
  • The actual snowflake: [tex]\boxed{ \cdot } \rightarrow \frac{1}{8} \ of \ 8[/tex]

And now, let us calculate the width of the actual snowflake. As we know, the actual snowflake is [tex]\frac{1}{8}[/tex] the size of the image.

[tex]\boxed{ \ = \frac{1}{8} \times 1.8 \ }[/tex]

[tex]\boxed{ \ = \frac{1}{8} \times \frac{18}{10} \ }[/tex]

[tex]\boxed{ \ = \frac{1 \times 18}{8 \times 10} \ }[/tex]

[tex]\boxed{ \ = \frac{18}{80} \ }[/tex]

Both the numerator and denominator are divided by two to make it a simple fraction.

[tex]\boxed{ \ = \frac{9}{40} \ }[/tex]

Both the numerator and denominator are multiplied by 25 to make it a decimal fraction. Therefore, the denominator will be 1,000.

[tex]\boxed{ \ = \frac{9 \times 25}{40 \times 25} \ }[/tex]

[tex]\boxed{ \ = \frac{225}{1,000} \ }[/tex]

Thus, the width of the actual snowflake is 0.225 centimeters.

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