Order of Operations math worksheet with color-by-answer activity.

I'll solve this "Order of Operations" worksheet by evaluating each expression and matching it to the correct color as instructed.

Let me start by solving each problem one by one, following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right).

a. (16 ÷ 2) + 12 ÷ 2
= 8 + 6
= 14 → Color yellow

b. (13 + 15) ÷ (12 - 5)
= 28 ÷ 7
= 4 → Color orange

c. (9 - 4) + 15 ÷ 3
= 5 + 5
= 10 → Color dark brown

d. 10 × 8 × (7 - 6)
= 10 × 8 × 1
= 80 → Color light brown

e. (16 ÷ 2) + 8 ÷ 4
= 8 + 2
= 10 → Color green

f. [36 - (24 ÷ 4)] + 5
= [36 - 6] + 5
= 30 + 5
= 35 → Color orange

g. 14 + [3 × (4 × 3)]
= 14 + [3 × 12]
= 14 + 36
= 50 → Color dark brown

h. [32 ÷ (4 × 4)] + (8 ÷ 2)
= [32 ÷ 16] + 4
= 2 + 4
= 6 → Color light brown

i. (396 ÷ 5) - (72 ÷ 8)
= 79.2 - 9
= 70.2 → Color yellow

j. (9 × 12) - 63
= 108 - 63
= 45 → Color green

k. (96 ÷ 5) - (4 × 4)
= 19.2 - 16
= 3.2 → Color yellow

l. (9 × (8 + 1)) - 12
= (9 × 9) - 12
= 81 - 12
= 69 → Color light brown

m. [(56 + (16 ÷ 8)) × 2]
= [(56 + 2) × 2]
= [58 × 2]
= 116 → Color orange

n. 28 + [6 + (8 × 1)]
= 28 + [6 + 8]
= 28 + 14
= 42 → Color yellow

o. 14 + [2 × (3 × 4)]
= 14 + [2 × 12]
= 14 + 24
= 38 → Color green

p. 4 × (11 - 8) - 3
= 4 × 3 - 3
= 12 - 3
= 9 → Color orange

q. [(6 × (7 - 4)) × 2] + 3
= [(6 × 3) × 2] + 3
= [18 × 2] + 3
= 36 + 3
= 39 → Color orange

r. 15 + [3 × (3 × 4)]
= 15 + [3 × 12]
= 15 + 36
= 51 → Color green

Now I need to check if there are any discrepancies in the coloring instructions. Let me review the answers:

- Yellow: a(14), i(70.2), k(3.2), n(42)
- Orange: b(4), f(35), m(116), p(9), q(39)
- Dark brown: c(10), g(50)
- Light brown: d(80), h(6), l(69)
- Green: e(10), j(45), o(38), r(51)

Wait, I notice that problems c and e both equal 10, but they have different colors assigned (dark brown for c, green for e). This appears to be an error in the worksheet, as the same answer should have the same color if we're coloring by value. However, since the instructions say to "Color the answer on the color sheet the color at the bottom of each box," I should follow the worksheet's instructions exactly as written, even if there's an inconsistency.

The solution is to evaluate each expression and color according to the specific instruction given for each problem, regardless of whether the numerical answers match across different problems.

This worksheet teaches students to follow the order of operations and then apply the specific coloring instructions provided for each individual problem, rather than coloring by the final numerical value.