When multiplying two or more numbers in scientific notation, the following steps must be used.

Step 1: Multiply the decimal numbers and obtain the product.

Step 2: Multiply the powers of ten together by adding the exponents.

Step 3: Put the product in single-digit scientific notation.

Step 4: If necessary, rewrite decimal with a single number to the left of the decimal point.

Multiply (3 x 10

Solution:

Step 1: 3 x 5 = 15

Step 2: 10

Step 3: The product is: 15 x 10

Step 4: = 1.5 x 10

The answer is1.5 x 10

Example 2

Multiply:(4 x 10

Solution

Step 1: Multiply the decimal numbers and obtain the product.

4 x 3 = 12

Step 2: Multiply the powers of ten together by adding the exponents.

(10

Step 3: Put the product in single-digit scientific notation.

12 x 10

Step 4: If necessary, rewrite decimal with a single number to the left of the decimal

point.

1.2 x 10

The answer is: 1.2 x 10

Example 3

Multiply (3 x 10

Solution

Step 1: Multiply the decimal numbers and obtain the product.

3 x 8 = 24

Step 2: Multiply the powers of ten together by adding the exponents.

10

Step 3: Put the product in single-digit scientific notation.

24 x 10

decimal point.

2.4 x 10

The answer is 2.4 x 10