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Answer the following.(a) The diameter of Jupiter at its equator is approximately ×1.43 10^5 kilometers. Write this number in standard notation.(b) An astronomer's infrared telescope is able to detect radiation with a wavelength of 0.00000532 meters. Write this number in scientific notation.

Sagot :

When converting from scientific notation to standard form, we move the decimal place to the right if the exponent of 10 is positive.

Here, we are given 1.43 x 10^5. So to write this in standard form, we will multiply by 10^5 or 100,000 by moving the decimal point 5 places to the right.

Therefore, 1.43 x 10^5 = 143,000 km.

Vice versa, when writing from standard form to scientific notation, we move the decimal point so that there is only one digit to the left of the decimal point.

For 0.00000532, we move like this:

We moved the decimal point 6 times to the right. This means that we will have to make the number bigger to be able to express it in scientific notation.

0.00000532 x 1,000,000 = 5.32

But that would be changing the value of the number itself. To revert it to its original value, we need to divide it by 1,000,000. This means that the exponent of 10 should be negative.

5.32 x 1/1,000,000 = 5.32 x 10^ -6.

Therefore, 0.00000532 = 5.32 x 10^-6 meters.

View image KaienW384483
View image KaienW384483