Question

Escreva os numeros a seguir utilizando a notação científica

a) 0,0000037=
b) 73000=
c) 0,000000452=
d) 73000=

Answer 1

Resposta: 3.7*10^-6

Explicação passo a passo:

1. Make the number a new number between 1 and 10

Move the decimal point to make 0.0000037 a new number between 1 and 10. Because our original number is less than one, we move the decimal point to the right. Drop any zeroes in front of the number. Keep track of how many times we move the decimal point.

0.0000037 -> 3.7

Our new number is 3.7. We moved the decimal point 6 times.

2. Define the power of 10

Because our original number was less than one, the exponent defining the power of 10 is negative. Remember, we moved the decimal point 6 times, so the exponent is negative 6

10^(-6)

3. Final result

3.7*10^(-6)

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Resposta: 7.3*10^4

Step by Step:

1. Write the number as a decimal

73000.0

2. Make it a new number between 1 and 10

Move the decimal point to make 73000.0 a new number between 1 and 10. Because our number is greater than 10, we move the decimal point to the left. Drop any trailing zeroes. Keep track of how many times we move the decimal point.

73000.0 -> 7.3

Our new number is 7.3. We moved the decimal point 4 times.

3. Define the power of 10

Because our original number was greater than 10, the power of 10 is positive. Remember, we moved the decimal point 4 times, so the exponent is positive 4:

10^4

4. Final result

7.3*10^4

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Resposta: 4.52*10^-7

Step by Step

1. Make the number a new number between 1 and 10

Move the decimal point to make 0.000000452 a new number between 1 and 10. Because our original number is less than one, we move the decimal point to the right. Drop any zeroes in front of the number. Keep track of how many times we move the decimal point.

0.000000452 -> 4.52

Our new number is 4.52. We moved the decimal point 7 times.

2. Define the power of 10

Because our original number was less than one, the exponent defining the power of 10 is negative. Remember, we moved the decimal point 7 times, so the exponent is negative 7

10^(-7)

3. Final result

4.52*10^(-7)