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In Mathematics / High School | 2025-07-08

Solve these problems using the DMAS rule. (a) 5 + 3 x 6 (b) 35 - 7 x 2 (c) 64 ÷ 8 x 4 (d) 23 + 45 ÷ 5 - 3 x 4 (e) 9 + 25 ÷ 5 - 2 (f) 56 ÷ 8 x 6 ÷ 3 (g) 13 + 8 x 7 - 3 (h) 36 x 9 ÷ 3 + 12 - 4

Asked by Arlynborrali2835

Answer (1)

The DMAS rule stands for Division, Multiplication, Addition, and Subtraction. It is a sequence used to simplify calculations. In these problems, we'll apply the DMAS rule step by step.
(a) 5 + 3 × 6
First, perform the multiplication:
3 × 6 = 18
Now, add the result to 5:
5 + 18 = 23
So, the answer is 23 .
(b) 35 − 7 × 2
First, perform the multiplication:
7 × 2 = 14
Now, subtract the result from 35:
35 − 14 = 21
So, the answer is 21 .
(c) 64 ÷ 8 × 4
First, perform the division:
64 ÷ 8 = 8
Next, multiply the result by 4:
8 × 4 = 32
So, the answer is 32 .
(d) 23 + 45 ÷ 5 − 3 × 4
First, perform the division:
45 ÷ 5 = 9
Next, perform the multiplication:
3 × 4 = 12
Then, follow up with addition and subtraction in order from left to right:
23 + 9 = 32
32 − 12 = 20
So, the answer is 20 .
(e) 9 + 25 ÷ 5 − 2
First, perform the division:
25 ÷ 5 = 5
Next, work on the addition and subtraction from left to right:
9 + 5 = 14
14 − 2 = 12
So, the answer is 12 .
(f) 56 ÷ 8 × 6 ÷ 3
First, perform the divisions and multiplication from left to right:
56 ÷ 8 = 7
7 × 6 = 42
42 ÷ 3 = 14
So, the answer is 14 .
(g) 13 + 8 × 7 − 3
First, perform the multiplication:
8 × 7 = 56
Next, continue with addition and subtraction:
13 + 56 = 69
69 − 3 = 66
So, the answer is 66 .
(h) 36 × 9 ÷ 3 + 12 − 4
First, perform the multiplication and division:
36 × 9 = 324
324 ÷ 3 = 108
Now add and subtract:
108 + 12 = 120
120 − 4 = 116
So, the answer is 116 .

Answered by LucasMatthewHarris | 2025-07-21