Let's solve each of the problems using the
order of operations, often remembered by the acronym
PEMDAS:
-
Parentheses
-
Exponents
-
Multiplication and
Division (from left to right)
-
Addition and
Subtraction (from left to right)
---
Problem 1: (12 - 6) × 10 - 4
1.
Parentheses:
$ 12 - 6 = 6 $
Now the expression is:
$ 6 × 10 - 4 $
2.
Multiplication:
$ 6 × 10 = 60 $
Now:
$ 60 - 4 $
3.
Subtraction:
$ 60 - 4 = 56 $
✔ Answer: 56
---
Problem 2: 3 × 11 + (6 - 10)
1.
Parentheses:
$ 6 - 10 = -4 $
Now:
$ 3 × 11 + (-4) $
2.
Multiplication:
$ 3 × 11 = 33 $
Now:
$ 33 + (-4) = 33 - 4 $
3.
Addition/Subtraction:
$ 33 - 4 = 29 $
✔ Answer: 29
---
Problem 6: (12 + 9) × 10 + 13
1.
Parentheses:
$ 12 + 9 = 21 $
Now:
$ 21 × 10 + 13 $
2.
Multiplication:
$ 21 × 10 = 210 $
Now:
$ 210 + 13 $
3.
Addition:
$ 210 + 13 = 223 $
✔ Answer: 223
---
Problem 7: 7 × 5 + (2 - 5)
1.
Parentheses:
$ 2 - 5 = -3 $
Now:
$ 7 × 5 + (-3) $
2.
Multiplication:
$ 7 × 5 = 35 $
Now:
$ 35 + (-3) = 35 - 3 $
3.
Addition/Subtraction:
$ 35 - 3 = 32 $
✔ Answer: 32
---
✔ Final Answers:
1.
56
2.
29
6.
223
7.
32
Let me know if you'd like these explained step-by-step with visuals or more examples!
Parent Tip: Review the logic above to help your child master the concept of numerical expressions worksheet 6th grade.