Review of Operations with Scientific Notation

In scientific notation, what must the absolute value of the coefficient be?

• Greater than or equal to 0 and less than 10

• Greater than 0 and less than or equal to 10

• Greater than or equal to 1 and less than 10

• Greater than 1 and less than or equal to 10

What must the exponent be in scientific notation?

• A positive whole number

• A negative whole number

• A positive or negative whole number

• A fraction

How do you determine the exponent when converting a standard number into scientific notation?

• It is the value of the coefficient

• It is the number of decimal places the number has

• It is the number of times the decimal point is slid left or right

• It is always a fixed number

How do you write the number 0.0023 in scientific notation?

• 2.3 x 10^3

• 23 x 10^-4

• 2.3 x 10^-3

• 2.3 x 10^-2

What is 6.5 x 10^-3 converted to standard form?

• 0.0065

• 0.065

• 6500

• 0.65

Convert 4.7 × 10^3 to standard form.

• 4700

• 47,000

• 470

• 4.7

What must be equal in order to add or subtract two numbers written in scientific notation?

• Coefficients

• Exponents

• Products of coefficients and exponents

• Differences of coefficients and exponents

What should you do with the exponents when adding or subtracting two numbers in scientific notation with equal exponents?

• Multiply the exponents

• Add the exponents

• Leave the exponents the same

• Subtract the exponents

What should you do if adding the coefficients in scientific notation results in a number greater than 10?

• Leave the answer as it is

• Divide the result by 10

• Adjust the answer to put it back into proper scientific notation

• Subtract 10 from the result

Why must exponents be equal when adding or subtracting numbers in scientific notation?

• To ensure the coefficients are not aligned correctly

• To make the numbers easier to read

• To ensure the coefficients line up properly for addition or subtraction

• To increase the value of the coefficients