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PLEASE ANSWER!!! The signal from a certain satellite takes approximately 0.0078 seconds to reach Earth. Write this number in scientific notation.The total surface area of Africa is approximately ×1.17107 square miles. Write this number in standard notation.

Seconds:

Square miles:

User Bartosz X
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2 Answers

2 votes

Final answer:

The signal time of 0.0078 seconds from a satellite to Earth written in scientific notation is 7.8 x 10^-3. The standard notation for Africa's surface area, assuming it is 1.17107 x 10^6 square miles, is 11,710,700 square miles.

Step-by-step explanation:

To write the number 0.0078 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10. We can do this by moving the decimal point three places to the right, which gives us 7.8. Because we moved the decimal point to the right, we use a negative exponent to indicate how many places the decimal moved. Thus, 0.0078 becomes 7.8 × 10^-3 in scientific notation.

For the total surface area of Africa, the number given is ×1.17107 square miles, which seems to be incorrectly typed. Assuming it should be 1.17107×6 square miles, we can rewrite this in standard notation by understanding that the exponent indicates how many times to multiply 10 by itself. In this case, 1.17107×6 means we multiply 1.17107 by 1,000,000 (since 106 is 1,000,000), which gives us a standard notation of 11,710,700 square miles.

User Ismael Padilla
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2 votes

Answer:

7.8 x 10^(-3)

Step-by-step explanation:

Move the decimal so there in one non-zero digit to the left of the decimal point. The number of times the decimal point is moved will be the exponent to 10. If the decimal is being moved the right then the exponent will be negative. if the decimal is being moved to the left the exponent will be positive. Therefore, since 0.0078 is converted to 7.8 the decimal point was moved the right three times making the exponent -3.

User Donald Wu
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