Question

7th math-Can you help me complete the table for the submarine scenario please thanks! Please do step by step explanation to help me out so I can actually learn.

Answer 1

Start 1. 3

Start 2. -2

Action 1. 8

Action 2. 8

Explanation:

Adding floats is +

Adding anchors is -

Removing floats is -

Removing anchors is +

For the first start one, we know that we have to remove 7 floats to get the expression 3-7. We know that removing floats subtracts, so we can do the opposite from the expression and add 7 floats. This gets us 3, so the start would be 3.

For the first action one, we know that the start is -2 and the final expression is -2+8. since we know that the start is -2, we can add that to the expression instead and get 8.

For the second start one, we only know that the expression is -2-(-8). Double negative is positive, so we can think of this expression as -2+8. The start is the first part of the equation, so it should be -2.

For the second action one, we know that the start is -2, and the expression is -2+8. We can add the -2 to the expression. This is because we want to remove the start from the equation so we know what we did to make the expression the way it is. We would get 8.

Answer 2

Row 2

Look at the "final expression" column of this row. That expression is 3-7.

The first number is our start point. So we start at 3. It's the same start as row 1 because 3 + (-7) is the same as 3 - 7.

Adding a negative is the same as subtracting a positive.

---------------------------------------------------------------------

Row 3

Notice how -2 is the start and -2 is the first number mentioned in the "final expression" column for this row.

The other number mentioned is +8 or simply 8. Because we're adding a positive, we're moving up the vertical ladder to have the submarine head toward the surface.

It started let's say 2 meters below the surface, and then goes up 8 meters.

So in short we'll have something like "add 8 floats" to indicate moving up this amount.

Note: Once the submarine reaches the surface, the value 0 on the vertical number line, then of course the submarine cannot hover higher than this marker.

---------------------------------------------------------------------

Row 4

The start is -2 as mentioned in the previous section.

This time we're "removing 8 anchors"

The "8 anchors" is represented by -8. Subtracting off this amount means we're removing them.

Recall that subtracting a negative turns it positive.

Therefore -2 - (-8) is the same as -2 + 8

The act of removing 8 anchors is the same as adding 8 floats.