What is the order of the numbers from least to greatest?
A=4.6x10^-4
B=2.4x10^-3
C= 3.5x10^5
D=6.3x10^-4
A.C<A<B<D
B.D<A<C<B
C.B<C<A<D
D.A<D<B<C****
Correct me if I'm wrong please
correct
You are correct! The correct order of the given numbers from least to greatest is D < A < B < C.
To determine the order, we compare the exponents first. In this case, the exponents are -4, -3, 5, and -4.
Since the exponents of A and D are the same (-4), we need to compare the coefficients. The coefficient of A is 4.6, and the coefficient of D is 6.3. Since 4.6 is smaller than 6.3, A is smaller than D.
Next, we compare A and B. Both have different exponents (-4 and -3), so we don't need to compare the coefficients. Since -3 is greater than -4, B is greater than A.
Next, we compare B and C. The exponent of C is 5, which is greater than -3 (the exponent of B). Therefore, C is greater than B.
Lastly, we compare D and C. Both have the same exponent (-4), so we compare the coefficients. The coefficient of D is 6.3, while the coefficient of C is 3.5. Since 3.5 is smaller than 6.3, C is smaller than D.
Therefore, the correct order is D < A < B < C.