Multiplying Dividing Writing Scientific Notation

Why do we use powers of ten in scientific notation?

• To avoid using decimals in any mathematical operations.

• To make numbers easier to read without any calculations.

• We use powers of ten in scientific notation to simplify the representation of large or small numbers and facilitate calculations.

• To represent numbers in a way that is only useful for whole numbers.

How can powers of ten simplify multiplication and division?

• Powers of ten only apply to whole numbers.

• Powers of ten are only useful for addition and subtraction.

• Powers of ten simplify multiplication and division by allowing easy shifting of the decimal point and simplifying calculations through addition or subtraction of exponents.

• Powers of ten complicate calculations by requiring more steps.

Explain how powers of ten are used in measuring large distances.

• Powers of ten complicate the calculation of distances by adding unnecessary steps.

• Powers of ten simplify the representation and calculation of large distances using scientific notation.

• Powers of ten are irrelevant for measuring distances in astronomy.

• Powers of ten are only used in mathematics, not in measuring distances.

How do you convert a number in scientific notation back to standard form?

• By multiplying the coefficient by the power of ten.

• By adding the exponents together.

• By dividing the coefficient by the power of ten.

• By simply writing the number as it is.

If A= 10^3 x 10^-4 x 10^5 and B= 10^6/10^-3x10^2, what is the value of A/B?

• 10^-6

• 10^-4

• 10^0

• 10^4

• 10^6

How do you multiply two numbers in scientific notation?

• By adding the exponents and multiplying the coefficients.

• By multiplying the coefficients and adding the numbers.

• By adding the coefficients and multiplying the exponents.

• By multiplying the coefficients and subtracting the exponents.

How do you divide two numbers in scientific notation?

• By subtracting the exponents and dividing the coefficients.

• By adding the exponents and dividing the coefficients.

• By dividing the coefficients and adding the exponents.

• By subtracting the coefficients and dividing the exponents.

If 10^n = 0.01, what is the value of n?

• -2

• -1

• 2

• 1

If 10^n = 0.1, what is the value of n?

• -1

• 1

• 0

• -2

What do you do to your exponents when you are dividing in scientific notation?

• Subtract

• Divide

• Multiply

• Add