四則混算 (計算次序)

G (法則)

100

Correct Order of Operations 計算次序

Ａ Ｄ Ｍ Ｓ ： BI __ __ __ __

加  減  乘  除 ： 先 ____  ____ , 後 _____  _____。

ＢＩ Ｍ ＤＡＳ（ ）Ｉ^２  ｘ ÷ ＋ —

先乘除, 後加減。

200

Why is it important to know PEMDAS/ BIMDAS as a mathematician?

為什麼「先 乘 除 , 後 加 減」是 十分 重 要?

So everyone can solve every problem the same (correct) way.

300

What is the saying we use to remember the correct Order of Operations?

四則混算的次序。

Brackets Indices Multiplication-Division-Addition-Subtraction ( ) I²  x ÷ +  -   

BIMDAS  - Believe In My Dear Aunt Sally.

PEMDAS - Please Excuse My Dear Aunt Sally.  or

先 乘 除 , 後 加 減

400

10 + 8 ÷ 2 + 3 = 12.

What did I do wrong? 我做錯了什麼? 

10 + 8 ÷ 2 + 3 = 10 + 4 + 3 = 17

500

20 - 5 x 2 + 3 = 33. 

What did I do wrong? 我做錯了什麼?

I went from left to right without using the correct order of operations.

A (找錯處)

100

9 - 3 x 2=12

Correct answer is 3. Do x then -, not - then x.

200

5 x 5  + 1 = 11

5 x 5 = 25, not 10. 

Correct Answer is 26.

300

3 x 3   - 6 = 0

3 x 3 = 9, not 6.

Correct answer is 3

400

4 + 5 + 7 - 3 x 2 = 26

You need to follow PEMDAS and do x first. 

Correct answer is 10.

500

10 x 10 x 10 = 30

10 x 10 x10 = 1000. 

Not  10 + 10 + 10 = 30.

B (計算)

100

3 + 4 x 5

23

200

7 + (2 x 4) - 1

14

300

56 ÷ (4+4) + 3 x 3

16

400

20 – (5+3) x 2 + 4

8

500

(5 x 4) – 6 ÷ 2 + 9

26

C (計算)

100

14 - 2 x 7

0

200

49 ÷ (3+4) + 5 x 5

32

300

5 + 14 ÷ 2 × 5

40

400

(4-1) x (4 -1) + (5+ 1) x (5 +1)

45

500

1 x 1 + 2 x 2 x 3 x 3  - 4 x 4

21

D (計算)

100

 32-17 + 9

24 

200

4 + 3 x 6 

22

300

45 ÷ 5 ｘ (3 - ３)

0

400

2 x 2 x 2 x 2 + (4-1) x 6

34

500

 (14 +10) ÷ 3 x2

16