Compare 7.6 x 10^-25 and 6.7 x 10^-52. which statement is true?
a 7.6 x 10^-25 = 6.7 x 10^-52
b 7.6 x 10^-25 < 6.7 x 10^-52
c 7.6 x 10^-25 < 6.7 x 10^-52
d 7.6 x 10^-25 > 6.7 x 10^-52
b 7.6 x 10^-25 < 6.7 x 10^-52
To compare 7.6 x 10^-25 and 6.7 x 10^-52, we need to compare the values of their exponents.
In scientific notation, the smaller the exponent, the larger the number. Therefore, 10^-52 is a smaller exponent than 10^-25.
Since the base number (7.6) is the same for both statements, we can directly compare the exponents.
Statement a: 7.6 x 10^-25 = 6.7 x 10^-52 - This statement is not true because the exponents are different.
Statement b: 7.6 x 10^-25 < 6.7 x 10^-52 - This statement is true because 10^-52 is a smaller exponent than 10^-25.
Statement c: 7.6 x 10^-25 < 6.7 x 10^-52 - This statement is not true because the exponents are different.
Statement d: 7.6 x 10^-25 > 6.7 x 10^-52 - This statement is not true because 10^-52 is a smaller exponent than 10^-25.
Therefore, the correct answer is b) 7.6 x 10^-25 < 6.7 x 10^-52.
To compare the two numbers, we need to compare their values. In scientific notation, the value is determined by the number in front of the "x" (coefficient) multiplied by the power of 10.
For 7.6 x 10^-25, the coefficient is 7.6 and the power of 10 is -25.
For 6.7 x 10^-52, the coefficient is 6.7 and the power of 10 is -52.
To compare the values, we look at the coefficient first. Since 7.6 is greater than 6.7, we can conclude that 7.6 x 10^-25 is greater than 6.7 x 10^-52.
Therefore, the correct statement is:
d) 7.6 x 10^-25 > 6.7 x 10^-52.