Scientific Notation Concepts

Mrs. D explains scientific notation, a method for writing very large or small numbers using powers of ten. She demonstrates converting numbers like 82,000 and 93,050,000 into scientific notation by placing the decimal after the first digit and counting the decimal places moved. For numbers less than one, she explains using negative exponents. The video covers both large and small numbers, emphasizing the importance of having a number greater than one and less than ten before the decimal. The tutorial concludes with a recap of the rules for positive and negative exponents.

What is the main purpose of using scientific notation in math?

• To avoid using decimals

• To make numbers look more complex

• To simplify the writing of very large or small numbers

• To confuse students

In scientific notation, what range should the first number be?

• Between 1 and 10

• Any number

• Greater than 10

• Less than 1

How do you convert 82,000 into scientific notation?

• 8.2 x 10^3

• 0.82 x 10^5

• 8.2 x 10^4

• 82 x 10^3

What does the exponent in scientific notation represent?

• The number of times the decimal is moved

• The number of digits in the number

• The size of the number

• The number of zeros in the number

How many places do you move the decimal to convert 93,050,000 into scientific notation?

• 5 places

• 6 places

• 7 places

• 8 places

What is the scientific notation of 93,050,000?

• 0.9305 x 10^8

• 93.05 x 10^6

• 9.305 x 10^7

• 9.305 x 10^6

When converting a number less than 1 to scientific notation, what is the sign of the exponent?

• Positive

• Negative

• Zero

• It depends on the number

How do you write 0.0078 in scientific notation?

• 78 x 10^-4

• 7.8 x 10^-2

• 7.8 x 10^-3

• 0.78 x 10^-2

What does a negative exponent indicate in scientific notation?

• The number is very large

• The number is very small

• The number is positive

• The number is negative

How many places do you move the decimal to convert 0.000025 into scientific notation?

• 4 places

• 7 places

• 6 places

• 5 places