Dividing, Adding, and Subtracting with Scientific Notation

The video tutorial covers scientific notation, focusing on multiplication, division, addition, and subtraction. It begins with a recap of previous lessons, then explains how to multiply and divide numbers in scientific notation using properties of exponents. The tutorial also addresses how to adjust numbers to maintain scientific notation format. Finally, it explores addition and subtraction, emphasizing the importance of aligning place values and adjusting exponents to keep numbers equivalent.

What properties are used to simplify multiplication in scientific notation?

• Distributive and Identity

• Commutative and Associative

• Associative and Distributive

• Distributive and Commutative

When multiplying numbers in scientific notation, what do you do with the exponents if the bases are the same?

• Add them

• Subtract them

• Divide them

• Multiply them

What must the leading number in scientific notation be between?

• 0 and 1

• 1 and 10

• 10 and 100

• 100 and 1000

If you move the decimal point to the left in scientific notation, what happens to the exponent?

• It decreases

• It becomes negative

• It increases

• It stays the same

How would you write 18,160 in scientific notation?

• 18.16 x 10^4

• 1.816 x 10^3

• 18.16 x 10^3

• 1.816 x 10^4

When dividing numbers in scientific notation with the same base, what do you do with the exponents?

• Divide them

• Multiply them

• Subtract them

• Add them

What is the result of 8 x 10^4 divided by 1.81 x 10^4?

• 4.4 x 10^0

• 4.4 x 10^1

• 4.4 x 10^2

• 4.4 x 10^3

What is the key to adding and subtracting numbers in scientific notation?

• Aligning the place values

• Aligning the coefficients

• Aligning the decimal points

• Aligning the exponents

If you make a number 10 times smaller in scientific notation, what must you do to the exponent?

• Decrease it by 1

• Increase it by 1

• Decrease it by 10

• Increase it by 10

What is the result of 126.3 x 10^7 minus 1.525 x 10^7?

• 124.775 x 10^7

• 124.775 x 10^8

• 12.4775 x 10^8

• 12.4775 x 10^9