Question

Multiply to find out how many teaspoons of vanilla extract are needed for the ice cream. Write your answer in scientific notation.

(3 × 107) ×(3 × 10−6)

Remember, when you multiply with scientific notation, multiply the whole numbers, keep the x 10, and add the exponents. Watch this video for a review if you need help: Khan Academy: Multiplying & dividing in scientific notation

(1 point)
Responses

9×1013
9 times 10 to the 13th power

9×10−42
9 times 10 to the negative 42 power

9×101
9 times 10 to the 1th power

6×101
6 times 10 to the 1th power
Question 2
Now convert your answer to standard notation.(1 point)
Responses

9
9

90
90

900
900

9000
9000

Answer 1

To solve the multiplication \( (3 \times 10^7) \times (3 \times 10^{-6}) \), we proceed as follows:

1. **Multiply the whole numbers**: \( 3 \times 3 = 9 \).
2. **Add the exponents**: \( 7 + (-6) = 1 \).

Putting it together:
\[
(3 \times 10^7) \times (3 \times 10^{-6}) = 9 \times 10^{1}
\]

So, the answer in scientific notation is:
\[
\text{Response: } 9 \times 10^{1}
\]

### Question 2
Now, to convert \( 9 \times 10^{1} \) to standard notation:

\[
9 \times 10^{1} = 9 \times 10 = 90
\]

So, the answer in standard notation is:
\[
\text{Response: } 90
\]