Scientific Notation Operations

This video tutorial teaches how to multiply numbers in scientific notation by applying the product rule for exponents. It begins with a review of the product rule, explaining how to multiply coefficients and add exponents. The tutorial then demonstrates this process with several examples, including handling negative exponents and adjusting decimals to ensure the result is in proper scientific notation.

What is the first step when multiplying two numbers with exponents?

• Add the exponents

• Multiply the coefficients

• Subtract the exponents

• Divide the coefficients

When multiplying numbers in scientific notation, what should you do with the exponents?

• Multiply them

• Divide them

• Subtract them

• Add them

In the example 2.34 x 10^6 and 1.7 x 10^8, what is the product of the coefficients?

• 3.978

• 4.08

• 3.5

• 2.34

What is the result of adding the exponents 6 and 8 in the first example?

• 16

• 12

• 14

• 10

In the second example, what is the result of multiplying 2 and 4.2?

• 6.4

• 8.4

• 9.4

• 7.2

What is the sum of the exponents -4 and -8 in the second example?

• -14

• -8

• -12

• -10

In the third example, what adjustment is made when the factor is greater than 10?

• Add 2 to the exponent

• Subtract 1 from the exponent

• Move the decimal to the left

• Move the decimal to the right

What is the final exponent after adjusting 10.4 x 10^14 to proper scientific notation?

• 13

• 16

• 15

• 14

In the last example, what is the product of 5.6 and 3.8?

• 20.28

• 21.28

• 19.28

• 22.28

What is the final exponent after adjusting 21.28 x 10^-7 to proper scientific notation?

• -6

• -8

• -7

• -5