What is 0.68 written as a simplified fraction? My answer is 17/25.
What makes the statement true? 7^-2=
My answer is 14.
What is 308,745,538 is scientific notation? My answer is 3.1 x 10^8.
What is the solution to (3 x 10^2) x (5 x 10^5)written in scientific notation? My answer is 1.5 x 10^8.
If there is 1/3 of pie left, and Thomas only wants to eat 1/2 of it, how much pie does he want? My answer is 1/6.
What is 0.00000387 in scientific notation? My answer is 3.87 x 10^-6.
What is 2.28 x 10^-8 in standard form? My answer is 228,000,000.
Kay has 7/8 yd of fabric. To complete a project, she need 3 times that amount. How many yards of fabric does Kay need? My answer is 2 5/8.
Are my answers correct? Please help as soon as possible.
2.28*10^-8 = 0.0000000228.
7^-2 = 1/7^2 = 1/49. I'm not sure what
they want here.
Let's go through each of your answers to see if they are correct:
1. What is 0.68 written as a simplified fraction? Your answer is 17/25. To check if this is correct, we need to find the greatest common divisor (GCD) of 17 and 25. The GCD of 17 and 25 is 1, which means that the fraction cannot be simplified any further. Therefore, your answer of 17/25 is correct.
2. What makes the statement true? 7^-2 = ? Your answer is 14. To solve this, we need to calculate 7 raised to the power of -2. This means dividing 1 by 7 squared (7 * 7). Doing the calculation, we get 1/49 as the result. Therefore, your answer should be 1/49, not 14.
3. What is 308,745,538 in scientific notation? Your answer is 3.1 x 10^8. To write a number in scientific notation, we need to move the decimal point so that there is only one non-zero digit to the left of the decimal point and multiply it by the appropriate power of 10. In this case, to move the decimal point in 308,745,538 to the left, we need to divide it by 10^8, not multiply. So the correct scientific notation for 308,745,538 is 3.08745538 x 10^8. Your answer is not correct.
4. What is the solution to (3 x 10^2) x (5 x 10^5) written in scientific notation? Your answer is 1.5 x 10^8. To multiply numbers in scientific notation, we multiply the coefficients (3 * 5) and add the exponents (2 + 5). So the correct answer is 15 x 10^7, which can also be written as 1.5 x 10^8. Your answer is correct.
5. If there is 1/3 of a pie left, and Thomas only wants to eat 1/2 of it, how much pie does he want? Your answer is 1/6. To find out how much pie Thomas wants to eat, we need to multiply 1/3 by 1/2. Multiplying fractions is done by multiplying the numerators together and the denominators together. So (1/3) multiplied by (1/2) is (1 * 1) / (3 * 2) = 1/6. Your answer is correct.
6. What is 0.00000387 in scientific notation? Your answer is 3.87 x 10^-6. To write a number in scientific notation, we need to move the decimal point so that there is only one non-zero digit to the left of the decimal point and multiply it by the appropriate power of 10. In this case, we need to move the decimal point 6 places to the right to get 3.87, and we divide by 10^6. So the correct scientific notation for 0.00000387 is 3.87 x 10^-6. Your answer is correct.
7. What is 2.28 x 10^-8 in standard form? Your answer is 228,000,000. To convert a number in scientific notation to standard form, we need to move the decimal point so that there are no powers of 10. In this case, we need to move the decimal point 8 places to the right to get 0.0000000228. Your answer of 228,000,000 is not correct.
8. Kay has 7/8 yd of fabric. To complete a project, she needs 3 times that amount. How many yards of fabric does Kay need? Your answer is 2 5/8. To find out how much fabric Kay needs, we need to multiply 7/8 by 3. Multiplying a fraction by a whole number is done by multiplying the numerator by the whole number. So (7/8) multiplied by 3 is (7 * 3) / 8 = 21/8, which can also be written as 2 5/8. Your answer is correct.
In summary, out of the eight answers, five of them are correct: 0.68 as 17/25, (3 x 10^2) x (5 x 10^5) as 1.5 x 10^8, 1/3 x 1/2 as 1/6, 0.00000387 in scientific notation as 3.87 x 10^-6, and Kay needing 2 5/8 yards of fabric. The other three answers need corrections: 7^-2 is 1/49, 308,745,538 in scientific notation is 3.08745538 x 10^8, and 2.28 x 10^-8 in standard form is 0.0000000228.