Answer true or false for each statement. If the statement is false, explain.

Question

a) If a number in scientific notation has a negative exponent, then the number is negative

b) A number that is at least 1 but less than 10 cannot be written in scientific notation.

c) A negative exponent in the scientific notation form means that the size of the number is less than 1

d) In scientific notation, if the exponent on the 10 is 6, then the number is in the millions.

Answer 1

a) False. the negative exponent means the number is less than 1, not that the number is negative. 2.0 x 10^-1 = 0.2 = +0.2

b) False. 2.0 x 10^0 is 2 in scientific notation. 1<2<10

c) True

d) True. an exponent of 6 means 6 zeros to the left of the decimal point. 2.0 x 10^6 = 2,000,000 = 2 million