which number is greater than 5.5 x 10^-7 and less then 5.5 x 10^7?
a. 1.8 x 10^-12
b. 6.7 x 10^8
c. 5.2 x 10^3
d. 3.9 x 10^-8
the one with the exponent between the two
Yes
To determine which number falls between 5.5 x 10^-7 and 5.5 x 10^7, we can compare the exponents of the numbers first. The number with a smaller exponent is smaller, while the number with a larger exponent is larger.
In this case, the given numbers have exponents of -7 and 7, respectively.
Looking at the answer choices:
a. 1.8 x 10^-12 has an exponent of -12, which is even smaller than -7, so it is definitely smaller than the given range.
b. 6.7 x 10^8 has an exponent of 8, which is larger than 7, so it is definitely larger than the given range.
c. 5.2 x 10^3 has an exponent of 3, which is smaller than 7, so it is potentially within the given range.
d. 3.9 x 10^-8 has an exponent of -8, which is the same as -7, so it is very close to the lower limit of the given range.
Therefore, the number that falls between 5.5 x 10^-7 and 5.5 x 10^7 is option (c) 5.2 x 10^3.