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Chapter 1: Problem 32

Simplify. $$ 10 \cdot 7-4 $$

Short Answer

Expert verified
66

Step by step solution

01

Perform the multiplication

First, multiply the two numbers given in the expression. Compute the product of 10 and 7: \(10 \times 7 = 70\)
02

Perform the subtraction

Next, subtract 4 from the product obtained in Step 1: \(70 - 4 = 66\)

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Key Concepts

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

multiplication
Multiplication is one of the four basic arithmetic operations. In this exercise, we performed multiplication first according to the order of operations (PEMDAS/BODMAS). When asked to multiply 10 and 7, you find the product by calculating: \[ 10 \times 7 = 70 \] Remember, multiplication involves adding a number (10) to itself a certain number of times (7). 10 added 7 times is 70. Multiplication can also be thought of as repeated addition, making it easier to understand and apply in more complex calculations.
subtraction
Subtraction is another key arithmetic operation you'll frequently encounter. After performing multiplication in the given exercise, the next step was to subtract 4 from the product of 70: \[ 70 - 4 = 66 \] Subtraction involves taking a certain value (4) away from another value (70). The result here is 66. When subtracting, always ensure you are reducing the larger number by the specified amount to get the correct difference. Using number lines or visual aids can be exceptionally helpful in understanding how subtraction works.
simplification
Simplification is the process of reducing complex expressions into simpler forms. This exercise required simplifying: \[ 10 \times 7 - 4 \] By following the order of operations (PEMDAS/BODMAS), multiplication comes before subtraction. Performing the multiplication first: \[ 10 \times 7 = 70 \] Next, subtract 4 from the result: \[ 70 - 4 = 66 \] Simplification helps in getting to the most simplified answer, which in this case is 66. This not only makes the expression easier to understand but also correctly solves the given problem by following systematic steps.

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