Question

Let’s now multiply two numbers in scientific notation using Google.

Enter .0008 into Google exactly as it was written above as:

We could now multiply it by .000056 by typing:

Note that we have separated our two numbers by putting them inside parentheses, and the * symbol (SHIFT+8) is used as the multiplication sign. We could have done a division instead of multiplying by separating the two numbers by a forward slash

Multiply the number 4.48E-8 by 5.2E-4 using Google. What is the correct answer in scientific notation?

6.78E-11

3.33E-12

2.40E-12

2.33E-11

Answer 1

Option 4, 2.33E-11

Step by step solution

Step 1

The first step is to convert the 2 numbers to decimal form as shown below,

4.48E-8= 0.0000000448

5.2E-4=0.00052

Step 2

The next step is to multiply these two numbers by entering them into then in to the google calculator as shown below,

0.0000000448*0.00052=2.329E-11

Step 3

In this step we sound the number up to 2 decimal places. This number to 2 decimal places is 2.33E-11.

Answer 2

We are going to rewrite each number:
(4.48E-8) = 0.0000000448
(5.2E-4) = 0.00052
We observe that when multiplying, the exponent will be on the order of 10 ^ -11
Doing the multiplication we have:
(4.48E-8) * (5.2E-4) = 2.3296E-11
Rewriting:
(4.48E-8) * (5.2E-4) = 2.33E-11
Answer:
2.33E-11