Quiz Preview! Lessons 5-1 To 5-3

Remember - Leave it, change it, change it. Leave the first number alone, change the subtraction to addition, and change the sign of the second number.

The commutative property states that the order of addition does not affect the result. In other words, for any two numbers a and b, a + b is equal to b + a. This property holds true for addition in mathematics.

The signs are different, so subtract and keep the sign of the number with the largest absolute value.

The equation t + k + m = g represents the relationship between the number of cups of cheese (t), cups of coffee (k), and cups of green beans (m) needed in a recipe, which together make up the total number of cups of ingredients (g).

The correct answer is m + -n because the algebraic definition of subtraction states that subtracting a number is the same as adding its opposite. In this case, subtracting n is the same as adding -n. Therefore, rewriting m - n using the algebraic definition of subtraction gives us m + -n.

The result of the given sequence of turns can be found by adding up the angles in a clockwise direction and subtracting the angles in a counterclockwise direction. In this case, we have a clockwise 60 degree turn followed by a 240 degree counterclockwise turn, which cancels out the initial clockwise turn. Finally, we have a clockwise 20 degree turn. Adding up all the clockwise turns, we get 60 + 20 = 80 degrees. Since there are no counterclockwise turns remaining, the final result is 80 degrees in a clockwise direction. Therefore, the correct answer is 160 degrees.