Problem 35 Find the value of each expressio... [FREE SOLUTION]

Chapter 1: Problem 35

Find the value of each expression. $$ 9 \cdot 4-8 \cdot 3 $$

Short Answer

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Step by step solution

Evaluate Multiplication

First, solve the multiplication operations in the expression. Calculate the following: $ 9 \times 4 = 36 $ and $ 8 \times 3 = 24 $

Perform Subtraction

Next, subtract the results of the multiplication steps: $ 36 - 24 = 12 $

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Key Concepts

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

Multiplication

Multiplication is combining equal groups. When you multiply numbers, you are essentially adding a number to itself a certain number of times. For instance, multiplying 9 by 4 means you add four groups of nine together:

Multiply 9 by 4: 9 + 9 + 9 + 9
The result is 36

In our exercise, you begin by performing the multiplications separately:

Solve 9 $\cdot$ 4 first,
Then solve 8 $\cdot$ 3
Finally, these results (36 and 24) are used in the next step.

Remember, multiplication must come before addition or subtraction when following the order of operations.

Subtraction

Subtraction is taking one number away from another. It helps in finding the difference between numbers. After dealing with any multiplications first, you then perform any subtractions.
Consider the multiplication results from our given problem:

We have 36 from 9 $\cdot$ 4
And 24 from 8 $\cdot$ 3

The next step involves subtracting these two results:

36 - 24
This gives the final result of 12

Subtraction usually follows other operations such as multiplication or division in expressions.

Arithmetic Expressions

Arithmetic expressions are combinations of numbers and operations (like addition, subtraction, multiplication, and division). To solve them correctly, you must follow a specific order known as the order of operations (PEMDAS/BODMAS). This ensures that everyone gets the same result:

First, solve anything in Parentheses or Brackets
Second, handle Exponents or Orders
Third, perform any Multiplications and Divisions from left to right
Finally, complete any Additions and Subtractions from left to right

In our example,

we have no parentheses or exponents,
so we start with the multiplications:

9 $\cdot$ 4 and 8 $\cdot$ 3,

then finish with the subtraction:

36 - 24

This keeps the process straightforward and consistent.

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91影视

Find the value of each expression. $$ 9 \cdot 4-8 \cdot 3 $$

Short Answer

Step by step solution

Evaluate Multiplication

Perform Subtraction

Key Concepts

Multiplication

Subtraction

Arithmetic Expressions

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