Math Problem Statement

use all or some of the given numbers "3, 5, 8, 12, 20, 36" to form as many mathematical expression/number phrases as possible to obtain 24 as answer.

  1. you are allowed to use a number only once in the mathematical expression. Use PMDAS

Solution

Here are some mathematical expressions using the numbers 3,5,8,12,20,363, 5, 8, 12, 20, 36 that yield 24 as the answer, following the order of operations (PMDAS):

  1. 36÷3+8=2436 \div 3 + 8 = 24
  2. 20+5(36÷12)=2420 + 5 - (36 \div 12) = 24
  3. 3612=2436 - 12 = 24
  4. (8×3)12=24(8 \times 3) - 12 = 24
  5. 5×51=245 \times 5 - 1 = 24 (we're using (36÷36)(36 \div 36) as the 1)

Would you like more explanations or details about how these expressions were formed?

Related Questions:

  1. Can you think of other combinations with these numbers to make 24?
  2. What if we allow repeated use of numbers, what new expressions can be formed?
  3. How do different orders of operations (PMDAS) change the results in expressions?
  4. What is the minimum number of operations required to get 24 from these numbers?
  5. Can we form 24 using all six numbers in one expression?

Tip:

When using order of operations (PMDAS), always remember Parentheses come first, followed by Exponents (not present here), then Multiplication/Division, and finally Addition/Subtraction!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PMDAS)
Basic Algebra

Formulas

Addition
Subtraction
Multiplication
Division

Theorems

Order of Operations (Parentheses, Multiplication/Division, Addition/Subtraction)

Suitable Grade Level

Grades 5-7