In which set are the numbers arranged in ascending order?
a 3.25 x 10^-4, 1.25 x 10^-3, 2.25 x 10^-3, 3.25 x 10^-3
b 3.25 x 10^-3, 2.25 x 10^-3, 3.25 x 10^4, 1.25 x 10^-3
c 0.000325, 0.00225, 0.00125, 0.00325
d 0.00125, 0.00225, 0.000325, 0.00325
The numbers arranged in ascending order are:
c 0.000325, 0.00125, 0.00225, 0.00325
To determine which set has the numbers arranged in ascending order, let's compare the numbers in each set:
a) 3.25 x 10^-4, 1.25 x 10^-3, 2.25 x 10^-3, 3.25 x 10^-3
b) 3.25 x 10^-3, 2.25 x 10^-3, 3.25 x 10^4, 1.25 x 10^-3
c) 0.000325, 0.00225, 0.00125, 0.00325
d) 0.00125, 0.00225, 0.000325, 0.00325
Looking at each set, we can compare the numbers:
a) The first number is 3.25 x 10^-4, the second number is 1.25 x 10^-3, the third number is 2.25 x 10^-3, and the fourth number is 3.25 x 10^-3. As we can see, the numbers are arranged in increasing order.
b) The first number is 3.25 x 10^-3, the second number is 2.25 x 10^-3, the third number is 3.25 x 10^4, and the fourth number is 1.25 x 10^-3. Here, the numbers are not arranged in ascending order as the third number (3.25 x 10^4) is greater than the fourth number (1.25 x 10^-3).
c) The first number is 0.000325, the second number is 0.00225, the third number is 0.00125, and the fourth number is 0.00325. The numbers are arranged in increasing order.
d) The first number is 0.00125, the second number is 0.00225, the third number is 0.000325, and the fourth number is 0.00325. Again, the numbers are arranged in increasing order.
From the comparisons, we see that set A, set C, and set D have the numbers arranged in ascending order. Therefore, the correct options are:
a) 3.25 x 10^-4, 1.25 x 10^-3, 2.25 x 10^-3, 3.25 x 10^-3
c) 0.000325, 0.00225, 0.00125, 0.00325
d) 0.00125, 0.00225, 0.000325, 0.00325
To determine which set has the numbers arranged in ascending order, you need to compare the numbers within each set and identify the set where the numbers increase from smallest to largest.
Let's examine each set:
a) 3.25 x 10^-4, 1.25 x 10^-3, 2.25 x 10^-3, 3.25 x 10^-3
b) 3.25 x 10^-3, 2.25 x 10^-3, 3.25 x 10^4, 1.25 x 10^-3
c) 0.000325, 0.00225, 0.00125, 0.00325
d) 0.00125, 0.00225, 0.000325, 0.00325
In set a, the numbers are already in ascending order because they increase from small to large powers of 10.
In set b, the numbers are not in ascending order since the third number, 3.25 x 10^4, is greater than the other numbers.
In set c, the numbers are not in ascending order as the third number, 0.00125, is larger than the second number, 0.00225.
In set d, the numbers are in ascending order as they increase from smallest to largest.
Therefore, the correct answer is (d) 0.00125, 0.00225, 0.000325, 0.00325.