Answer true or false for each statement.

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.

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

Answer 1

all false but d)

c) trips up some people but (1/2)^-1 = 2 >1 so it's not less than 1 always. c is false

Answer 2

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

e) False, it will be .000001