Question

5+(-3)=5 - 3 = 2^b. x(-4)=4 - 2^d. use the numbers 5, 6, and 7 and the operations of addition, subtraction, multiplication, to create three different number expressions with three different values. one of the expressions should have a value of 37. write the following fractions as decimals and decide if they are terminating or repeating. show your work and explain how you made your decision. b. $\frac{2}{9}$ d. $\frac{11}{22}$ evaluate each expression using + and - tiles or draw it on a number line. then find the value of each expression. b. $7+(-3)+(-4)$ d. $|-5|+3 + 6$ a bag contains 12 red marbles, 20 green marbles, and 17 blue marbles. if you draw one marble out of the bag, what is the probability that it will not be red? what is the probability that he will draw a purple marble? that is, p(purple)?

Explanation:

Step1: Convert fraction b. $\frac{2}{9}$ to decimal

$2\div9 = 0.\overline{2}$, it is a repeating - decimal because when we divide 2 by 9, the remainder never becomes 0 and the digit 2 repeats indefinitely.

Step2: Simplify fraction d. $\frac{11}{22}$

$\frac{11}{22}=\frac{1}{2}$

Step3: Convert simplified fraction d. to decimal

$1\div2 = 0.5$, it is a terminating decimal as the division process ends with a remainder of 0.

Answer:

b. $\frac{2}{9}=0.\overline{2}$, repeating decimal; d. $\frac{11}{22} = 0.5$, terminating decimal