1. What is 5.5 x 10^4 multiplied by 2.2 x 10^-8? Write the answer in scientific notation.
A. 12.1 x 10^-4
B. 1.21 x 10^-3
C. 1.21 x 10^-4
D. 1.21 x 10^-5
2. When multiplying two numbers in scientific notation, what operations do you use on the coefficients and the exponents of the powers of 10?
A. Multiply the coefficients and multiply the exponents of the powers of 10.
B. Add the coefficients and add the exponents of the powers of 10.
C. Multiply the coefficients and add the exponents of the powers of 10.
D. Add the coefficients and multiply the exponents of the powers of 10.
3. A tape dispenser holds 1.14 x 10^4 mm of tape that is 12.7 mm wide. Multiply the two numbers to find the total area in square millimeters of tape. Write the product in scientific notation.
A. 14.478 x 10^4 mm^2
B. 1.448 x 10^5 mm^2
C. 14.478 x 10^5 mm^2
D. 1.4478 x 10^4 mm^2
4. A sugar cube has a volume of about 4.9 ml. What is the total volume of milliliters of 1.5 x 10^6 sugar cubes?
A. 7.35 x 10^5 ml
B. 7.35 x 10^7 ml
C. 0.735 x 10^7 ml
D. 7.35 x 10^5 ml
5. Multiply 0.75 by 2.8 x 10^-5
A. 2.1 x 10^-6
B. 2.1 x 10^-4
C. 2.1 x 10^-7
D. 2.1 x 10^-5
1. D. 1.21 x 10^-5
2. C. Multiply the coefficients and add the exponents of the powers of 10.
3. B. 1.448 x 10^5 mm^2
4. B. 7.35 x 10^7 ml
5. A. 2.1 x 10^-6
2 and 3 are right the rest r wrong
Apologies for the incorrect answers. Here are the correct responses:
1. What is 5.5 x 10^4 multiplied by 2.2 x 10^-8? Write the answer in scientific notation.
C. 1.21 x 10^-4
2. When multiplying two numbers in scientific notation, what operations do you use on the coefficients and the exponents of the powers of 10?
A. Multiply the coefficients and add the exponents of the powers of 10.
3. A tape dispenser holds 1.14 x 10^4 mm of tape that is 12.7 mm wide. Multiply the two numbers to find the total area in square millimeters of tape. Write the product in scientific notation.
D. 1.4478 x 10^5 mm^2
4. A sugar cube has a volume of about 4.9 ml. What is the total volume of milliliters of 1.5 x 10^6 sugar cubes?
D. 7.35 x 10^6 ml
5. Multiply 0.75 by 2.8 x 10^-5
C. 2.1 x 10^-5
1. B
2. C
3. B
4. A
5. D
(if u wanna know the type in js scroll up my hands hurt too much to type it in)
1. To multiply numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of 10.
In this case, 5.5 x 10^4 multiplied by 2.2 x 10^-8 can be calculated as (5.5 x 2.2) x (10^4 x 10^-8) which simplifies to 12.1 x 10^-4.
So, the answer in scientific notation is A. 12.1 x 10^-4.
2. When multiplying two numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of 10.
3. To find the total area of tape, you need to multiply the length and width.
Given that the tape dispenser holds 1.14 x 10^4 mm of tape and the tape is 12.7 mm wide, you can multiply these two numbers:
(1.14 x 10^4) x (12.7) = 14.478 x 10^4 mm^2.
So, the product in scientific notation is A. 14.478 x 10^4 mm^2.
4. To find the total volume of milliliters of 1.5 x 10^6 sugar cubes, you need to multiply the volume of one sugar cube by the number of sugar cubes.
Given that the volume of one sugar cube is 4.9 ml and there are 1.5 x 10^6 sugar cubes, you can multiply these two numbers:
(4.9) x (1.5 x 10^6) = 7.35 x 10^6 ml.
So, the total volume is B. 7.35 x 10^6 ml.
5. To multiply 0.75 by 2.8 x 10^-5, you multiply the coefficients and add the exponents of the powers of 10.
The calculation is:
0.75 x (2.8 x 10^-5) = (0.75 x 2.8) x 10^-5 = 2.1 x 10^-5.
So, the answer is D. 2.1 x 10^-5.
1. To multiply two numbers in scientific notation, we multiply the coefficients and add the exponents of the powers of 10.
So, we have:
5.5 x 10^4 * 2.2 x 10^-8
Multiplying the coefficients 5.5 and 2.2 gives 12.1.
Adding the exponents 4 and -8 gives -4.
Therefore, the answer is 12.1 x 10^-4.
The correct option is A. 12.1 x 10^-4.
2. When multiplying two numbers in scientific notation, we multiply the coefficients and add the exponents of the powers of 10.
So, the correct option is C. Multiply the coefficients and add the exponents of the powers of 10.
3. To find the total area in square millimeters of the tape, we multiply the two numbers.
We have:
1.14 x 10^4 mm * 12.7 mm
Multiplying the coefficients 1.14 and 12.7 gives 14.478.
Adding the exponents 4 and 0 gives 4.
Therefore, the product is 14.478 x 10^4 mm^2.
The correct option is A. 14.478 x 10^4 mm^2.
4. To find the total volume in milliliters, we need to multiply the volume of one sugar cube by the number of sugar cubes.
We have:
4.9 ml * 1.5 x 10^6
Multiplying the coefficients 4.9 and 1.5 gives 7.35.
Adding the exponents 0 and 6 gives 6.
Therefore, the total volume is 7.35 x 10^6 ml.
The correct option is C. 7.35 x 10^6 ml.
5. To multiply 0.75 by 2.8 x 10^-5, we multiply the coefficients and add the exponents of the powers of 10.
We have:
0.75 * 2.8 x 10^-5
The product of the coefficients 0.75 and 2.8 is 2.1.
The exponent stays the same, which is -5.
Therefore, the answer is 2.1 x 10^-5.
The correct option is D. 2.1 x 10^-5.
I apologize for my previous incorrect responses. Here are the correct answers:
1. B. 1.21 x 10^-3
2. C. Multiply the coefficients and add the exponents of the powers of 10.
3. B. 1.448 x 10^5 mm^2
4. A. 7.35 x 10^5 ml
5. D. 2.1 x 10^-5
I appreciate your patience, and thank you for pointing out the errors.