1. What are the steps to solve this problem?
0.000027 divides by 0.000009
ANSWER: you have to make each number a whole number but it has to be between 1-10. So you are going to move the decimal to the right for both decimals. For 0.000027 you would move the decimal 5 times to the right because 27 is greater than 10 so the decimal has to be in between so the whole number is 2.7, now since you moved it 5 times to the right, the integer would be a NEGATIVE. so 2.7 x 10^-5. Now you are going to do the same thing for 0.000009. The scientific notation is 9.0 x 10^-6. So then you are going to divide 2.7 and 9.0 and that is 0.3. Now we are going to divide the exponents 10^-5 and 10^-6. So we are going to leave 10 the same and “divide” the exponents. When you divide exponents you really are subtracting them and when you are multiplying exponents you are adding them. So -5 - (-6) and that equals to 10^1. So 0.3 x 10^1 = 3
3. what is 0.54 written as a simplified fraction?
Answer: C, 27/50
4. Ms. Johnson’s class is having a pizza party. If there are 14 students and 7 pizzas cut into 8 slices, what answer choice represents the fraction of one pizza that each student receives?
Answer: C, 1/2
5. What makes this statement true? 8^-2
Answer: D, 1/64
6. Based upon the 2010 census data, the total population of the US is 308,745,538 people. approximately, what is this population in the scientific notation?
Answer: A, 3.1 x 10^8
7. What is the solution to (3 x 10^2) x (5 x 10^5) written in scientific notation?
Answer: A, 1.5 x 10^8
8. D
9. D
10. C
11. C
12. B
13. D
14. B
15. D
16. A
17. D
18. A
19. C
20. C
21. D
22. C
23. B
24. A
25. (i’m not telling you my answer but) integer=whole number that can go into fraction
irrational number = can’t go into fraction
26. 10^5 = 100,000
100,000 x 10 = 1,000,000
YOU WILL GET 100%
(Connexus)
1. To solve the problem 0.000027 divided by 0.000009, you need to convert each number to a whole number between 1 and 10. This can be done by moving the decimal to the right for both numbers.
For 0.000027, you would move the decimal 5 times to the right because 27 is greater than 10. This results in the whole number 2.7. Since you moved the decimal 5 times to the right, the exponent of the scientific notation would be negative (-5). So the number can be written as 2.7 x 10^-5.
Next, you need to do the same thing for 0.000009. The scientific notation for this number is 9.0 x 10^-6.
Now, you can divide 2.7 by 9.0, which gives you 0.3.
Finally, you divide the exponents (-5 divided by -6), which is equivalent to subtracting the exponents. So -5 - (-6) equals 10^1.
Putting it all together, 0.3 x 10^1 is equal to 3. Therefore, the solution to the problem is 3.
3. To write 0.54 as a simplified fraction, you can use the fact that the decimal is already in tenths and hundredths place.
The numerator of the fraction will be 54 (the decimal without the decimal point) and the denominator will be the place value of the rightmost digit in the decimal, which is 100.
So, 0.54 can be written as 54/100. To simplify this fraction, you can divide both the numerator and the denominator by their greatest common factor, which in this case is 2.
Dividing 54 by 2 gives 27, and dividing 100 by 2 gives 50.
Therefore, the simplified fraction form of 0.54 is 27/50.
4. If there are 14 students and 7 pizzas cut into 8 slices, you need to find the fraction of one pizza that each student receives.
First, calculate the total number of pizza slices available by multiplying the number of pizzas (7) by the number of slices per pizza (8). This gives you a total of 56 pizza slices.
Next, divide the total number of pizza slices by the number of students to find the number of slices each student receives. In this case, 56 divided by 14 is 4.
Since each student receives 4 slices and each pizza is divided into 8 slices, the fraction of one pizza that each student receives is 4/8.
Simplifying this fraction by dividing both the numerator and denominator by their greatest common factor, which is 4, gives you 1/2.
Therefore, the answer choice representing the fraction of one pizza that each student receives is C, 1/2.
5. The expression 8^-2 represents the number 8 raised to the power of -2. To find the value of this expression, you need to understand that a negative exponent indicates the reciprocal of the base raised to the positive exponent.
In this case, 8^-2 is equal to 1/(8^2).
Calculating 8^2 gives you 64.
So, 8^-2 is equal to 1/64.
Therefore, the answer to the question is D, 1/64.
6. To approximate the population of the US in scientific notation based on the 2010 census data (308,745,538 people), you need to move the decimal point to create a number between 1 and 10 and determine the appropriate exponent.
Start by moving the decimal point after the first digit, which gives you 3.08745538.
Since the decimal was moved one place to the left, the exponent will be positive (1).
Therefore, the population of the US in scientific notation is approximately 3.1 x 10^8.
The answer to the question is A, 3.1 x 10^8.
7. To find the solution to (3 x 10^2) x (5 x 10^5) written in scientific notation, you need to multiply the numbers and combine the exponents.
Multiply the coefficients (3 x 5) to get 15.
Then combine the exponents by adding them together (2 + 5) to get 7.
The resulting number is 15 x 10^7.
Therefore, the answer choice representing the solution is A, 1.5 x 10^8.
(Note: The remaining questions provided in your message are incomplete and do not have enough information to determine the answer. If you provide more specific details or complete the questions, I can help you with them as well.)