Math

Question1) Show 4+(7)-4 + (-7) on a number line. 2) Find the equivalent expression for 9+(12)-9 + (-12). a) 12+912 + 9 b) 9+12-9 + 12 c) 912-9 - 12 d) 12912 - 9

Studdy Solution

STEP 1

Assumptions1. The number line is a standard number line with positive numbers to the right of0 and negative numbers to the left of0. . The operation "+" between two negative numbers implies moving further to the left on the number line.

STEP 2

To model 4+(7)-4+(-7) on the number line, we start at the point -4.

STEP 3

Then, we move7 units to the left (since we are adding a negative number), which takes us to the point 11-11.

STEP 4

So, 4+(7)-4+(-7) is modeled on the number line by starting at 4-4 and moving7 units to the left to end at 11-11.

STEP 5

Now, let's find the expression equivalent to 9+(12)-9+(-12).

STEP 6

The expression 9+(12)-9+(-12) means starting at 9-9 on the number line and moving12 units to the left.

STEP 7

This is equivalent to starting at0, moving9 units to the left to get to 9-9, and then moving12 more units to the left. In other words, it's equivalent to moving a total of 9+129+12 units to the left of0.

STEP 8

So, the expression equivalent to +(12)-+(-12) is 12--12.
Therefore, the answer to the problem is1) 4+(7)-4+(-7) is modeled on the number line by starting at 4-4 and moving7 units to the left to end at 11-11. 2) The expression equivalent to +(12)-+(-12) is 12--12 (option c).

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