Evelyn tried to evaluate the expression 4+30÷5×2. Here is her work:
4+30÷5×2
=
4+30÷10	Step 1
=
4+3	Step 2
=
7	Step 3
Is Evelyn's work correct?

Evelyn's work is incorrect. Let's evaluate the expression step by step, following the correct order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division from left to right, Addition and Subtraction from left to right).

The expression is:  
\[ 4 + \frac{30}{5} \times 2 \]

1. **Step 1**: Perform the division first.
   \[ 30 \div 5 = 6 \]
   So the expression becomes:
   \[ 4 + 6 \times 2 \]

2. **Step 2**: Perform the multiplication next.
   \[ 6 \times 2 = 12 \]
   Now the expression is:
   \[ 4 + 12 \]

3. **Step 3**: Finally, perform the addition.
   \[ 4 + 12 = 16 \]

The correct answer is 16, not 7. Evelyn's mistake occurred in **Step 1**, where she incorrectly divided 30 by 10 instead of 5.

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. What is the value of \(8 + 24 \div 4 \times 3\)?
2. How does the order of operations affect the expression \(10 - 2 \times 5 + 3\)?
3. If you change the expression to \(4 + (30 \div 5) \times 2\), what is the result?
4. What is the correct result for \(15 \div 3 \times 4 + 7\)?
5. How would the expression \(4 \times 2 + 30 \div 5\) be evaluated?

**Tip:** Always remember to follow the order of operations (PEMDAS/BODMAS) to avoid mistakes like this.

Understand how to evaluate the expression 4 + 30 ÷ 5 × 2 step-by-step using the correct order of operations (PEMDAS/BODMAS). This problem covers basic arithmetic operations and the importance of following the order of operations in mathematical expressions. Suitable for students in Grades 5-8.

Math Problem Statement

Evelyn tried to evaluate the expression 4+30÷5×2. Here is her work: 4+30÷5×2

4+30÷10 Step 1

4+3 Step 2

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation