arrange the following integers in order from least to greatest:

a) -3, 0, |-3|, 4, 7, -10.
b) -10, -3, 4, 0, |-3|, 7.
c) 7, 4, |-3|, 0, -3, -10.
d) -10, -3, 0, |-3|, 4, 7.

The correct arrangement for the integers from least to greatest are as follows:

a) -10, -3, 0, 4, 7, |-3|

b) -10, -3, |-3|, 0, 4, 7

c) -10, -3, |-3|, 0, 4, 7

d) -10, -3, 0, 4, 7, |-3|

a) -10, |-3|, -3, 0, 4, 7.

b) -10, -3, |-3|, 0, 4, 7.

c) -10, -3, |-3|, 0, 4, 7.

d) -10, -3, |-3|, 0, 4, 7.

To arrange the integers in order from least to greatest, we can follow these steps:

a) -3, 0, |-3|, 4, 7, -10.

1. Start by comparing the numbers in pairs.
-10 is the smallest number in the list.
Next, we compare -10 with -3.
Since -3 is greater than -10, we keep -10 in the first position and move on.
Next, we compare -10 with 0.
Since 0 is greater than -10, we move on.
Next, we compare -10 with |-3|.
The absolute value of -3 is 3, which is greater than -10.
So, we move on.
Next, we compare -10 with 4.
Since 4 is greater than -10, we move on.
Finally, we compare -10 with 7.
Since 7 is greater than -10, we place -10 in the first position.

Now we continue this process with the remaining numbers:
|-3|, -3, 0, 4, 7.

Next, we compare |-3| with -3.
Since |-3| is equal to -3, we move on.
Next, we compare |-3| with 0.
Since 0 is greater than |-3|, we move on.
Next, we compare |-3| with 4.
Since 4 is greater than |-3|, we move on.
Finally, we compare |-3| with 7.
Since 7 is greater than |-3|, we place |-3| next.

Next, we compare -3 with 0.
Since 0 is greater than -3, we move on.
Next, we compare -3 with 4.
Since 4 is greater than -3, we move on.
Finally, we compare -3 with 7.
Since 7 is greater than -3, we place -3 next.

Lastly, we compare 0 with 4.
Since 4 is greater than 0, we move on.
Finally, we compare 0 with 7.
Since 7 is greater than 0, we place 0 next.

The final arrangement from least to greatest is:
-10, -3, 0, 4, 7.

b) -10, -3, 4, 0, |-3|, 7.

Using the same steps, we can see that the final arrangement from least to greatest is:
-10, -3, 0, 4, 7.

c) 7, 4, |-3|, 0, -3, -10.

Using the same steps, we can see that the final arrangement from least to greatest is:
-10, -3, 0, 4, 7.

d) -10, -3, 0, |-3|, 4, 7.

Using the same steps, we can see that the final arrangement from least to greatest is:
-10, -3, 0, 4, 7.

Therefore, the answers are the same for all options:
-10, -3, 0, 4, 7.