Math Problem Statement

Calculate the following mixed operations with brackets: (2 × 12) × (240 + 112), (999 ÷ 333) × (3 × 13), (910 - 776) × (8 × 8), and other similar expressions.

Solution

Let's solve each of the problems step by step from the image. I'll go through the calculations in sequence:

  1. (2 × 12) × (240 + 112) =24×352=8448= 24 × 352 = 8448

  2. (999 ÷ 333) × (3 × 13) =3×39=117= 3 × 39 = 117

  3. (910 - 776) × (8 × 8) =134×64=8576= 134 × 64 = 8576

  4. (245 + 667) ÷ (21 + 17) =912÷38=24= 912 ÷ 38 = 24

  5. (960 ÷ 4) ÷ (17 - 14) =240÷3=80= 240 ÷ 3 = 80

  6. (894 + 888) ÷ (40 - 22) =1782÷18=99= 1782 ÷ 18 = 99

  7. (843 + 123) ÷ (28 ÷ 2) =966÷14=69= 966 ÷ 14 = 69

  8. (2 × 11) × (406 - 144) =22×262=5764= 22 × 262 = 5764

  9. (15 × 9) × (300 - 262) =135×38=5130= 135 × 38 = 5130

  10. (387 - 223) × (18 ÷ 6) =164×3=492= 164 × 3 = 492

  11. (145 - 123) × (8 × 15) =22×120=2640= 22 × 120 = 2640

  12. (2 × 1890) ÷ (27 + 15) =3780÷42=90= 3780 ÷ 42 = 90

  13. (5 × 528) ÷ (12 + 32) =2640÷44=60= 2640 ÷ 44 = 60

  14. (125 + 115) ÷ (96 ÷ 4) =240÷24=10= 240 ÷ 24 = 10

  15. (345 + 843) ÷ (3 × 6) =1188÷18=66= 1188 ÷ 18 = 66

  16. (213 - 104) × (12 × 3) =109×36=3924= 109 × 36 = 3924

  17. (288 - 167) × (100 - 65) =121×35=4235= 121 × 35 = 4235

  18. (96 ÷ 8) × (11 + 49) =12×60=720= 12 × 60 = 720

  19. (4 × 660) ÷ (12 + 36) =2640÷48=55= 2640 ÷ 48 = 55


Do you need more detailed steps on any of these problems?

Here are 5 questions to help you explore further:

  1. What is the order of operations used in each calculation?
  2. How would the result change if you modify one of the numbers in the equations?
  3. Why is it important to solve the brackets first in these problems?
  4. Can you identify which operations result in larger numbers?
  5. How do division and multiplication affect the overall solution compared to addition and subtraction?

Tip: Always solve expressions inside parentheses first, then proceed with multiplication, division, addition, and subtraction (PEMDAS rule).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PEMDAS)

Formulas

( ) first, then × or ÷, then + or - in sequence from left to right

Theorems

PEMDAS Rule (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction)

Suitable Grade Level

Grades 5-7