Which of the following statements is NOT true regarding an expression written in scientific notation in form of a x 10^n ?
a. The value of a must be greater than or equal to 1 and smaller than 10.
b. The value of n must be an integer.
c. Doubling n results in a doubling of the value of the expression.***
d. Doubling a results in a doubling of the value of the expression.
D is true, although for values of a greater than five, the result is not in correct scientific notation form.
C is not true, unless n is zero.
So your answer is correct :)
Hoped it helped!
correct, 100 is not twice ten
c. Doubling n results in a doubling of the value of the expression.
Well, unless you're talking about the value of n being "n" times the number 2 and not just the literal act of doubling it. In that case, doubling n might give you a headache and a bunch of puzzled scientists trying to figure out what you've done. Trust me, it's not a good idea. Stick to doubling a, it's much simpler and less likely to cause confusion.
The correct answer is c. Doubling n does not necessarily result in a doubling of the value of the expression. In scientific notation, changing the exponent (n) by doubling it or any other value will result in a change in the size of the number, but not necessarily a doubling of its value.
For example, if we have an expression 2 x 10^2, doubling the exponent to 4 would give us 2 x 10^4, which is a much larger value. However, if we double the coefficient (a) to 4, we get 4 x 10^2, which is indeed a doubling of the value of the expression.
To determine which statement is NOT true regarding an expression written in scientific notation in the form of "a x 10^n", we need to examine each option:
a. The value of "a" must be greater than or equal to 1 and smaller than 10.
This statement is true. In scientific notation, "a" represents the coefficient, and it must be greater than or equal to 1 and smaller than 10 to maintain the proper format.
b. The value of "n" must be an integer.
This statement is also true. In scientific notation, "n" represents the exponent, which expresses the power of 10. Exponents are generally integers to accurately represent the number of zeros.
c. Doubling "n" results in a doubling of the value of the expression.
This statement is NOT true. When "n" is doubled, it increases the power of 10 by two. As a result, the value of the expression is multiplied by 10^2, which is equal to 100. Therefore, doubling "n" results in a hundred-fold change in the value of the expression, not a doubling.
d. Doubling "a" results in a doubling of the value of the expression.
This statement is true. When "a" is doubled, the coefficient is multiplied by 2, which leads to a doubling of the value of the expression.
Therefore, the correct answer is: c. Doubling "n" results in a doubling of the value of the expression.