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

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.
Multiply 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 multiply the exponents of the powers of 10.

Multiply the coefficients and add the exponents of the powers of 10.

Multiply the coefficients and add the exponents of the powers of 10.

To multiply two numbers in scientific notation, you should multiply the coefficients and add the exponents of the powers of 10.

To multiply two numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of 10.

Here's an example to illustrate the process:

Let's multiply 3.2 x 10^4 and 2.5 x 10^3.

Multiply the coefficients: 3.2 x 2.5 = 8

Add the exponents: 4 + 3 = 7

The result is 8 x 10^7.

So, when multiplying two numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of 10. In this case, the answer would be "Multiply the coefficients and add the exponents of the powers of 10."

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.

To find the total area in square millimeters of tape, we need to multiply the length and the width.

Length: 1.14 x 10^4 mm
Width: 12.7 mm

Multiply the coefficients: 1.14 x 12.7 = 14.478

Add the exponents: 4 + 0 = 4

Therefore, the total area in square millimeters of tape is 14.478 x 10^4 mm^2. In scientific notation, this can be written as 1.4478 x 10^5 mm^2.

A sugar cube has a volume of about 4.9 ml. What is the total volume in milliliters of 1.5×10^6 sugar cubes?(1 point)

Responses

7.35×10^6 ml
7.35 times 10 superscript 6 baseline ml

0.735×10^7 ml
0.735 times 10 superscript 7 baseline ml

7.35×10^7 ml
7.32 times 10 superscript 7 baseline ml

7.35×10^5 ml
7.35 times 10 superscript 5 baseline ml

To find the total volume in milliliters of 1.5 × 10^6 sugar cubes, we need to multiply the volume of one sugar cube by the total number of sugar cubes.

Volume of one sugar cube: 4.9 ml
Total number of sugar cubes: 1.5 × 10^6

Multiply the coefficients: 4.9 × 1.5 = 7.35

Add the exponents: 0 + 6 = 6

Therefore, the total volume in milliliters of 1.5 × 10^6 sugar cubes is 7.35 × 10^6 ml.