Math Problem Statement

974 + (5 ⋅ 216 - 8) ÷ (-5) - 1.816 = ?; (1542 + (-651)) ⋅ (24 + 36) = ?

Solution

The extracted text from the image contains two mathematical expressions, though there are some recognition errors. Based on the output, the equations are roughly as follows:

  1. 974+(52168)÷(5)1.816=974 + (5 \cdot 216 - 8) \div (-5) - 1.816 =
  2. (1542+(651))×(24+36)=(1542 + (-651)) \times (24 + 36) =

Let me correct and solve these expressions.

Expression 1:

974+(521685)1.816974 + \left(\frac{5 \cdot 216 - 8}{-5}\right) - 1.816

Expression 2:

(1542+(651))×(24+36)(1542 + (-651)) \times (24 + 36)

I'll solve these step by step.The solutions to the two expressions are:

  1. 974+(521685)1.816=757.784974 + \left(\frac{5 \cdot 216 - 8}{-5}\right) - 1.816 = 757.784
  2. (1542+(651))×(24+36)=53,460(1542 + (-651)) \times (24 + 36) = 53,460

Do you want further details or have any questions about the steps?

Here are five related questions for further exploration:

  1. How do you handle division by negative numbers?
  2. What is the distributive property of multiplication over addition?
  3. How does changing the sign in multiplication or division affect the result?
  4. What happens if we remove or add parentheses in these expressions?
  5. Can you try solving a similar equation with fractional values?

Tip: Always follow the order of operations (PEMDAS) to avoid mistakes in multi-step expressions.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Division by Negative Numbers
Multiplication
Addition
Subtraction

Formulas

PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right))
Basic arithmetic operations (addition, subtraction, multiplication, and division)

Theorems

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Suitable Grade Level

Grades 6-8