Unit 1 – Number Sense and Algebraic Thinking
Lesson 3 – Order of Operations
Black – Order of Operations
1. Simplify:
-18 ÷ {4 + 16 ÷ 50% of 8 – [(4 – 9) x 2]}
2. Make each of these sentences true by using any combination of mathematical
symbols such as +, - x, •, ( ), [ ], { }.
a. 1
9
9
5
=
24
b. 1
9
9
6
=
63
c. 1
9
9
7
=
7
d. 1
9
9
8
=
16
e. 1
9
9
9
=
0
3. Can you make the numbers 0, 1, 2, 3, 4, 5, … , 19, 20 in each case using the numeral 4
exactly four times, and no other numerals.
You may use any mathematical signs such as +, -, x, •, ( ),
For Example: Some ways of writing 1 are:
1 = (4 + 4) ÷ (4 + 4)
or
or 1 = 44 ÷ 44
or
or 1 =
_4
4
i4
or
4
+4–4
4
44
1=
44
1=
1 = 4! • 4 •
Solutions
1. -8.1
2. a. 1 + 9 + 9 + 5
b. 1 x 9 + 9 x 6
c. –1 x 9 + 9 + 7
d. –1 x (9 – 9) + 8
e. (–1 x 9 + 9) • 9
1
4-
4
,
4
4
4 , 4 , 4!
Unit 1 – Number Sense and Algebraic Thinking
Lesson 3 – Order of Operations
3.
1=
44
44
2=
4
4
+
4
4
44
4: 4
11 =
2= 4 + 4
4 4
3=4–
4=
_4
5=4+
_4
4
44
4: 4
12 = 4 + 4 +
4
i4
_4
i4
13 = 4! '
i4
6=4+
4:
7=4+
4
4+
4
8=4+4+
4
4+
4
14 = 4 + 4 + 4 +
x4
4
4
4
15 = 4 x 4 - 4
4
4+
4-
4
17 = 4 x 4 + 4
4
4
9=4+4+ 4
4
10 = 4 x 4 – 4 -
16 = 4 x 4 ' 4 x 4
18 = 4! -
4-
4-
19 = 4! – 4 - 4
4
4
20 = 4! – 4 + 4 – 4
2
4