Here is the question: Write the following rational numbers in scientific notation. A) 0. 000005
B) 30 million C) 0.036754 D) 24,000,059 My answers is: A) 5 * 10^-6
B) 30 * 10^6 C) 3.6754 * 10^-2
D) 2.4000059 * 10^7 Is this correct?
30 million is 3 x 10^7 or 3.0 x 10^7 depending upon the zero being a significant figures or not. My best guess is that it is not and I would write it as 3 x 10^7. Follow your instructor's advice.
Thanks.
Great effort! Your answers are almost correct. Let's go through each one to identify any necessary adjustments:
A) 0.000005
To write this rational number in scientific notation, we need to move the decimal point to the right until there is only one digit to the left of the decimal point. In this case, we need to shift it 6 places to the right. Since we moved the decimal point to the right, the exponent of 10 will be negative.
So, the correct scientific notation for A) is 5 * 10^-6.
B) 30 million
To express this number in scientific notation, we need to convert it to a number between 1 and 10 and then multiply it by the appropriate power of 10. In this case, we can write 30 million as 3.0 * 10^7. The number 3.0 is obtained by moving the decimal point one place to the left.
Thus, the accurate scientific notation for B) is 3.0 * 10^7.
C) 0.036754
Similar to example A, we need to move the decimal point to the right until there is only one digit to the left of the decimal point. This time, we need to shift it two places to the right. Again, since we moved the decimal point to the right, the exponent of 10 will be negative.
So, the correct scientific notation for C) is 3.6754 * 10^-2.
D) 24,000,059
To convert this number into scientific notation, we need to convert it to a number between 1 and 10 and then multiply it by the corresponding power of 10. In this case, we can express 24,000,059 as 2.40000059 * 10^7. The number 2.40000059 is obtained by moving the decimal point to the left by seven places.
Therefore, the accurate scientific notation for D) is 2.40000059 * 10^7.
In summary, your updated answers are:
A) 5 * 10^-6
B) 3.0 * 10^7
C) 3.6754 * 10^-2
D) 2.40000059 * 10^7
Keep up the good work!