Question

name:____ date:__ period:__
order of operations color by number
directions: answer each question. use your answer to find the color. use the color on the corresponding numbers on the picture

1. $(5 + 3)^2 - 2 \cdot 4$
2. $8 + 5^2 - 4$
3. $6 + 1 \cdot 5 - 3^2$

8 yellow 56 red 248 green 29 purple 14 yellow 37 blue 26 purple 2 black 29 grey

1. $8 \div 2 + 1 \cdot 7$
2. $9 + 8 \cdot 4 - 2^2$
3. $(6 - 4)^3 - 5 + 4$

28 red 9 orange 11 black 64 green 0 blue 37 brown 5 yellow 6 black 7 purple

1. $12 \div 3 + 9 - 3^2$
2. $6 + 15 \div 3 + 8$
3. $42 \div 6 + 2 \cdot 4$

4 yellow 8 grey 22 red 2 black 19 red 11 pink 15 blue 7 yellow 1 green

1. $13 - 3 \cdot 3 + 1^2$
2. $16 + (3 - 1)^2$
3. $8 + 10 \div 2 + 3^2$

31 orange 5 red 6 blue 20 blue 24 black 32 yellow 18 red 19 green 22 yellow

Explanation:

Problem 1: \((5 + 3)^2 - 2 \cdot 4\)

Step 1: Simplify parentheses

First, calculate the expression inside the parentheses: \(5 + 3 = 8\).
So the expression becomes \(8^2 - 2 \cdot 4\).

Step 2: Simplify exponents

Next, handle the exponent: \(8^2 = 64\).
Now the expression is \(64 - 2 \cdot 4\).

Step 3: Perform multiplication

Then, do the multiplication: \(2 \cdot 4 = 8\).
The expression is now \(64 - 8\).

Step 4: Perform subtraction

Finally, subtract: \(64 - 8 = 56\).

Step 1: Simplify exponents

First, handle the exponent: \(5^2 = 25\).
The expression becomes \(8 + 25 - 4\).

Step 2: Perform addition

Next, add: \(8 + 25 = 33\).
Now the expression is \(33 - 4\).

Step 3: Perform subtraction

Finally, subtract: \(33 - 4 = 29\).

Step 1: Simplify exponents

First, handle the exponent: \(3^2 = 9\).
The expression becomes \(6 + 1 \cdot 5 - 9\).

Step 2: Perform multiplication

Next, do the multiplication: \(1 \cdot 5 = 5\).
Now the expression is \(6 + 5 - 9\).

Step 3: Perform addition and subtraction

First, add: \(6 + 5 = 11\). Then subtract: \(11 - 9 = 2\).

Answer:

\(56\)

Problem 2: \(8 + 5^2 - 4\)