1. What makes the statement true? 8^-2 =?
A. 64
B. 16
C. -1/64
D. 1/64
2. What is the solution to (4 x 10^3) x (6 x 10^6), written in a scientific notation?
A. 24 x 10^9
B. 2.4 x 10^9
C. 24 x 10^18
D. 2.4 x 10^10
3. What is 0.000000512 written in a scientific notation?
A. 5.12 x 10^6
B. 512 x 10^5
C. 5.12 x 10^-6
D. 512 x 10^-5
4. What is 31/4 written as a decimal?
A. 6.75
B. 7.50
C. 7.75
D. 8.25
5. What is 2.28 x 10^-8 in standard form?
A. 228,000,000
B. 22,800,000
C. 0.0000000228
D. 0.00000228
6. Jessica went to the mall and used 1/6 of her money on lunch. What is the fraction of her money expressed as a decimal?
_
A. 0.6
_
B. 0.7
_
C. 0.16
_
D. 0.17
7. Ashley is making cookies. The recipe calls for 3/4 of a cup of sugar. She needs to make 5 batches of cookies. How many cups of sugar does Ashley need?
A. 3 cups
B. 3 1/4 cups
C. 3 1/2 cups.
D. 3 3/4 cups
Lilith is incorrect. 1. is 1/64 because 8^-2 = a decimal that turns out to be a fraction of 1/64 :) I forget the decimal though, sorry. just do 1/64 on a computer. I know this is a little outdated, but it can help other students looking for help on this question.
TEACHER NOT KNOWING AN ANSWER??????!!!
MIND BLOWING!!!
Thanks Anonymous you are smart and 100% correct
1. To solve the equation 8^-2, we need to understand the rule of negative exponents. When a number or variable is raised to a negative exponent, we can rewrite it as the reciprocal of the number or variable raised to the positive exponent. In this case, 8^-2 can be rewritten as 1/8^2.
To find the value of 8^2, we multiply 8 by itself: 8 x 8 = 64.
Therefore, 8^-2 = 1/64.
So the correct answer is option D. 1/64.
To solve the problem, we need to apply the rule of negative exponents and then evaluate the expression.
2. The expression (4 x 10^3) x (6 x 10^6) represents the multiplication of two numbers written in scientific notation. To multiply numbers in scientific notation, we multiply the coefficients and add the exponents.
In this case, multiply 4 by 6 to get the coefficient: 4 x 6 = 24. Then add the exponents: 10^3 x 10^6 = 10^(3+6) = 10^9.
So the result is 24 x 10^9.
Therefore, the correct answer is option A. 24 x 10^9.
To solve the problem, we need to multiply the coefficients and add the exponents.
3. To write 0.000000512 in scientific notation, we move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of places you moved the decimal point. This will give us the exponent of 10.
In this case, we moved the decimal point 8 places to the right:
0.000000512 = 5.12 x 10^(-8).
So the correct answer is option C. 5.12 x 10^-6.
To solve the problem, we need to move the decimal point and determine the exponent of 10.
4. To write 31/4 as a decimal, we divide 31 by 4. 4 divides into 31 seven times with a remainder of 3. We can then add a decimal point and continue dividing.
Dividing 30 by 4 gives us 7.5. Adding the remainder of 3 gives us the final decimal value:
31/4 = 7.75.
So the correct answer is option C. 7.75.
To solve the problem, we need to perform the division.
5. To convert 2.28 x 10^-8 into standard form, move the decimal point to the right or left depending on the value of the exponent.
In this case, we need to move the decimal point 8 places to the right:
2.28 x 10^-8 = 0.0000000228.
So the correct answer is option C. 0.0000000228.
To solve the problem, we need to move the decimal point and adjust the number according to the exponent.
6. To express a fraction as a decimal, divide the numerator by the denominator.
In this case, we have the fraction 1/6:
1 ÷ 6 = 0.166666...
So the fraction 1/6 expressed as a decimal is approximately 0.17.
Therefore, the correct answer is option D. 0.17.
To solve the problem, we need to perform the division.
7. To find the total amount of sugar needed by Ashley for 5 batches of cookies, we need to multiply the amount of sugar needed for one batch by the number of batches.
The recipe calls for 3/4 of a cup of sugar for one batch. To find the total amount, we multiply 3/4 by 5:
(3/4) x 5 = (3 x 5) / 4 = 15 / 4 = 3 3/4.
So Ashley needs a total of 3 3/4 cups of sugar.
Therefore, the correct answer is option D. 3 3/4 cups.
To solve the problem, we need to multiply the fraction by the number of batches and simplify the result.
6 is d
NO
Me being here in 2022-"Hello I am from the future" >w< lol
I forgot to mark my answers!
1.
A. 64?
2.
C. 24 x 10^18?
3. B. 512 x 10^5?
4. C. 7.75?
5. D. 0.00000228?
6. C. 0.16?
7. D. 3 3/4 cups?
1. wrong
2 and 3 and 5 -- I don't know
4. right
6. wrong
7. right