Math Problem Statement

5{−1+4[1−3(−5+4)]}

Solution

Let's simplify the expression step by step:

The given expression is:

5{1+4[13(5+4)]}5\{−1+4[1−3(−5+4)]\}

Step 1: Simplify inside the innermost parentheses.

The innermost part is 5+4-5 + 4:

5+4=1-5 + 4 = -1

Now, the expression becomes:

5{1+4[13(1)]}5\{−1+4[1−3(−1)]\}

Step 2: Simplify inside the brackets.

Now, handle the multiplication within the square brackets. First, multiply 3-3 by 1-1:

3×(1)=3-3 \times (-1) = 3

Now, the expression becomes:

5{1+4[1+3]}5\{−1+4[1+3]\}

Step 3: Add inside the square brackets.

Add 1+31 + 3 to get:

1+3=41 + 3 = 4

Now the expression is:

5{1+4(4)}5\{−1+4(4)\}

Step 4: Multiply inside the braces.

Multiply 4×44 \times 4 to get:

4×4=164 \times 4 = 16

Now the expression is:

5{1+16}5\{−1+16\}

Step 5: Simplify inside the braces.

Add 1+16-1 + 16:

1+16=15-1 + 16 = 15

Now the expression is:

5(15)5(15)

Step 6: Final multiplication.

Multiply 5×155 \times 15:

5×15=755 \times 15 = 75

Final Answer:

The value of the expression is:

75\boxed{75}

Would you like further details, or do you have any questions?


Here are five related questions:

  1. What is the order of operations (PEMDAS/BODMAS)?
  2. How do parentheses impact mathematical operations?
  3. How do negative signs affect multiplication and addition?
  4. How can distributing numbers help simplify expressions?
  5. How do you deal with nested parentheses?

Tip: Always handle operations inside parentheses or brackets first before moving to outer operations.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Order of Operations
Simplification
Nested Parentheses
Multiplication and Addition

Formulas

-

Theorems

-

Suitable Grade Level

Grades 6-8