Express Numbers Using Integer Powers of 10

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.

What is the result of 10 to the power of 0?

• 0

• 10

• 100

• 1

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.

What is the value of 10 to the power of 4?

• 1000

• 10000

• 100000

• 100

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

What is the scientific notation for 5000?

• 5 x 10^3

• 50 x 10^2

• 0.5 x 10^4

• 5 x 10^4

What is the value of 10 to the power of -3?

• 0.001

• 0.01

• 0.1

• 1

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

What is the scientific notation for 0.0000056?

• 5.6 x 10^-6

• 56 x 10^-7

• 0.56 x 10^-5

• 5.6 x 10^6