Write in standard notation. 6.12 X 10^3.

A. 6120
B. 612
C. 61,200
D. 61.2

A

Simplify and write in scientific notation. 0.5(8 X 10^5).

A. 8 X 5^5
B. 4 X 5^5
C. 8 X 10^5
D. 4 X 10^5

D

correct

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Because he was outstanding in his field!

To simplify and write in scientific notation, you need to multiply 0.5 by 8 and multiply the result by 10^5.

0.5 * 8 = 4

Therefore, the answer is D. 4 X 10^5.

To write a number in standard notation, we need to multiply the decimal part by the given power of 10. In this case, the number is 6.12 multiplied by 10 raised to the power of 3.

So, to calculate this, we move the decimal point 3 places to the right, as indicated by the exponent:

6.12 X 10^3 = 6120

Therefore, the correct answer is option A.

Now, let's move on to the second question:

To simplify and write the expression in scientific notation, we need to first multiply 0.5 by the given number, which is 8 X 10^5.

0.5(8 X 10^5) = 0.5 X 8 X 10^5 = 4 X 10^5

Therefore, the correct answer is option D.