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Chapter 1: Problem 60

Evaluate the given expression. Remember to follow the order of operations. $$2 \cdot 8+3$$

Short Answer

Expert verified
19

Step by step solution

01

Identify the expression

The given expression is: \(2 \times 8 + 3\)
02

- Perform multiplication

First, perform the multiplication operation according to the order of operations (PEMDAS/BODMAS). Calculate \(2 \times 8\): \[2 \times 8 = 16\]
03

- Perform addition

Next, add the result from the multiplication to 3: \[16 + 3 = 19\]
04

- Final result

The final result after performing all operations in the correct order is \(19\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

PEMDAS: The Order of Operations
When working with mathematical expressions, it's crucial to follow the order of operations. PEMDAS helps remember this order. It stands for:
  • P: Parentheses
  • E: Exponents
  • M: Multiplication
  • D: Division
  • A: Addition
  • S: Subtraction

This means you first solve anything in parentheses, then exponents. After that, do multiplication and division from left to right, and finally, do addition and subtraction from left to right.

For example, in the given problem, the expression is: \(2 \times 8 + 3\). Here, there are no parentheses or exponents, so we move directly to multiplication.

Remember, always use PEMDAS to ensure you're solving expressions correctly!
Multiplication: The First Step
Multiplication is one of the primary operations to tackle after parentheses and exponents. When you're given an expression like \(2 \times 8 + 3\), find the multiplication part first.

In our problem:
  • Multiply \(2 \times 8\).
  • This gives us \(16\).

So, the expression simplifies to \(16 + 3\) after performing the multiplication.

Keep multiplication a priority right after parentheses and exponents.
Addition: The Final Step
After multiplication and any other operations before addition, we then perform the addition. For the expression \(16 + 3\) from our problem, simply add these two numbers:
  • 16 + 3

This results in \(19\).

It鈥檚 crucial to follow the order of operations strictly, or else you might get a different answer. First \(2 \times 8\) equals \(16\), then add \(3\) to get \(19\). Any variation in this sequence may result in an incorrect answer.

Addition is usually done last unless subtraction is also there at the same level.

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Most popular questions from this chapter

Try to find an approximate value for a square root of \(3 .\) That is, try to find a number that when multiplied by itself gives a product of \(3 .\) Give answers correct to the nearest whole number, nearest tenth, nearest hundredth, and nearest thousandth. Use a calculator to help with the multiplication, but not to compute the square root itself.

Compute the given expression. Round off your answer to two decimal places where necessary. $$0.28(56)-0.36(63)$$

Evaluate the given expression. Remember to follow the order of operations. $$30-(5 \cdot 4-2)$$

Evaluate the given expression. Remember to follow the order of operations. $$\frac{40-5 \cdot 4}{20-5 \cdot 2}$$

Evaluate the given expression. Remember to follow the order of operations. $$\frac{12+6 \cdot 3}{6+3 \cdot 3}$$
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