Quiz Preview! Lessons 5-1 To 5-3

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

Explanation
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.

Explanation
The absolute value of a number is its distance from zero on the number line. Since -27 is 27 units away from zero in the negative direction, the absolute value of -27 is 27.

Explanation
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.

Explanation
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).

Explanation
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.

Explanation
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.