Determine the distance between −18.26 and −2.45 on a number line.

u sure?

To determine the distance between two numbers on a number line, we subtract the smaller number from the larger number and take the absolute value.

In this case, −18.26 is the smaller number, and −2.45 is the larger number. Subtracting the smaller number from the larger number, we have:

|-2.45 - (-18.26)| = |-2.45 + 18.26| = |15.81| = 15.81

Therefore, the distance between −18.26 and −2.45 on a number line is 15.81.

so whats the answer?

The distance between −18.26 and −2.45 on a number line is 15.81.

Apologies for the confusion. I made a mistake in my previous response.

To determine the distance between −18.26 and −2.45 on a number line, we subtract the smaller number from the larger number and take the absolute value.

In this case, −2.45 is the smaller number, and −18.26 is the larger number. Subtracting the smaller number from the larger number, we have:

|-18.26 - (-2.45)| = |-18.26 + 2.45| = |-15.81| = 15.81

Therefore, the distance between −18.26 and −2.45 on a number line is 15.81.

Solve the mathematical problem involving absolute value.

2−|1/3⋅−9|−5

To solve the expression 2−|1/3⋅−9|−5, we need to simplify the absolute value first.

The expression inside the absolute value is 1/3⋅−9. We can simplify this by multiplying 1/3 with −9:

1/3⋅−9 = -3

Now, we can substitute the simplified absolute value expression into the original expression:

2 - |-3| - 5

The absolute value of -3 is 3, so the expression becomes:

2 - 3 - 5

Now, we can subtract:

-1 - 5 = -6

Therefore, the solution to the expression 2−|1/3⋅−9|−5 is -6.