Scientific Notation and Exponents

The video tutorial explains how to solve an expression using a graphing calculator and present the answer in scientific notation. It begins by introducing the problem and explaining the use of the 'E' button on calculators for scientific notation. The tutorial then provides a step-by-step solution to the expression 1.2 E3 / 6 E-3, including division and exponent subtraction. Finally, it adjusts the result to ensure it is in the correct scientific notation format, emphasizing the importance of having one digit before the decimal point.

What is the purpose of using scientific notation in calculations?

• To avoid using decimals

• To confuse the user

• To simplify the representation of very large or small numbers

• To make numbers look more complex

What does the 'E' button on a calculator represent?

• Equation

• Exponentiation

• Error

• Scientific notation

How would you input 7.67 x 10^5 using a calculator?

• 7.67 - 5

• 7.67 x 5

• 7.67 E 5

• 7.67 + 5

In the expression 1.2 E3 / 6 E-3, what does E3 signify?

• 3 divided by 10

• 10 to the power of 3

• 3 plus 10

• 3 times 10

What is the first step in solving the expression 1.2 E3 / 6 E-3?

• Subtract 6 from 1.2

• Add 1.2 to 6

• Divide 1.2 by 6

• Multiply 1.2 by 6

How do you handle exponents when dividing numbers in scientific notation?

• Multiply the exponents

• Divide the exponents

• Add the exponents

• Subtract the exponent in the denominator from the exponent in the numerator

What is the result of 10^3 divided by 10^-3?

• 10^6

• 10^-6

• 10^3

• 10^0

Why can't the final answer have a zero before the decimal in scientific notation?

• It makes calculations difficult

• It has no value

• It makes the number too large

• It is not allowed in any notation

What adjustment is made to the exponent when the decimal point is moved in scientific notation?

• The exponent is decreased

• The exponent remains the same

• The exponent is doubled

• The exponent is increased

What is the final answer of the expression 1.2 E3 / 6 E-3 in correct scientific notation?

• 0.2 x 10^6

• 2 x 10^5

• 0.2 x 10^5

• 2 x 10^6