When multiplying two numbers in scientific notation, what operations do you use on the coefficients and the exponents of the powers of 10?(1 point)
Responses
Multiply the coefficients and add the exponents of the powers of 10.
Multiply the coefficients and add the exponents of the powers of 10.
Add the coefficients and multiply the exponents of the powers of 10.
Add the coefficients and multiply the exponents of the powers of 10.
Add the coefficients and add the exponents of the powers of 10.
Add the coefficients and add the exponents of the powers of 10.
Multiply the coefficients and multiply the exponents of the powers of 10.
The correct response is: Multiply the coefficients and add the exponents of the powers of 10.
A tape dispenser holds 1.14×104 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.(1 point)
Responses
1.4478×105 mm2
1.4478 times 10 superscript 5 baseline mm squared
1.4478×104 mm2
1.4478 times 10 superscript 4 baseline mm squared
14.478×104 mm2
14.478 times 10 superscript 4 baseline mm squared
14.478×105 mm2
To find the total area of tape, we need to multiply the length and width of the tape.
The length of the tape is given as 1.14×10^4 mm and the width is 12.7 mm.
So, the product of the two numbers would be: (1.14×10^4) × 12.7.
Multiplying the coefficients, we get 1.14 × 12.7 = 14.478.
Adding the exponents of the powers of 10, we get 4+0 = 4.
Therefore, the total area of the tape in square millimeters is 14.478×10^4 mm².
So, the correct response is: 14.478×10^4 mm².
A sugar cube has a volume of about 4.9 ml. What is the total volume in milliliters of 1.5×106 sugar cubes?(1 point)
Responses
0.735×107 ml
0.735 times 10 superscript 7 baseline ml
7.35×105 ml
7.35 times 10 superscript 5 baseline ml
7.35×107 ml
7.32 times 10 superscript 7 baseline ml
7.35×106 ml
To find the total volume of sugar cubes, we need to multiply the volume of one sugar cube (4.9 ml) by the number of sugar cubes (1.5×10^6).
So, the product of the two numbers would be: (4.9 ml) × (1.5×10^6).
Multiplying the coefficients, we get 4.9 × 1.5 = 7.35.
Adding the exponents of the powers of 10, we get 0+6 = 6.
Therefore, the total volume of 1.5×10^6 sugar cubes is 7.35×10^6 ml.
So, the correct response is: 7.35×10^6 ml.