Problem 53 Find each sum or product. $$ ... [FREE SOLUTION]

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Chapter 1: Problem 53

Find each sum or product. $$ -4 \cdot 5 \cdot 93 \cdot 5 $$

Short Answer

Expert verified

-9300

Step by step solution

- Multiply the first two numbers

Start by multiplying the first two numbers: $-4 \times 5 = -20$

- Multiply the result with the third number

Now, multiply the result from Step 1 with the third number: $-20 \times 93 = -1860$

- Multiply the final result with the fourth number

Finally, multiply the result from Step 2 with the last number: $-1860 \times 5 = -9300$

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Key Concepts

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

Step-by-step multiplication

When solving multiplication problems with multiple numbers, breaking the problem down into smaller, more manageable steps can be very helpful. This approach ensures that you can focus on multiplying two numbers at a time, making the solution easier to track and less prone to errors.

Here's how we can solve the given problem step by step:

Start by multiplying the first two numbers: $ -4 \times 5 = -20 $
Next, take the result and multiply it by the third number: $ -20 \times 93 = -1860 $
Finally, multiply the last number with the result obtained from the previous step: $ -1860 \times 5 = -9300 $

Breaking the problem down this way can make the entire process seem less intimidating and easier to manage.

Negative numbers

Working with negative numbers can sometimes be confusing, but with a few key rules, it becomes much simpler. Here are some important points to remember:

When you multiply two numbers with different signs (one positive and one negative), the result is always negative.
When you multiply two numbers with the same sign (either both positive or both negative), the result is always positive.

In our example, every multiplication involves a negative number:

First multiplication: $ -4 \times 5 = -20 $
Second multiplication: $ -20 \times 93 = -1860 $
Third multiplication: $ -1860 \times 5 = -9300 $

Notice that every step follows the rule, keeping the product negative throughout the multiplication.

Multiplying integers

Multiplying integers, whether they're positive or negative, follows straightforward mathematical rules. Here are some helpful tips:

First, always deal with absolute values when multiplying. Ignore the signs until you've calculated the product.
Then, apply the rules for the signs: positive \times positive = positive, negative \times negative = positive, positive \times negative = negative.

Applying this to our problem:

First, calculate the absolute values: $ | -4 | \times 5 = 20 $
Then, handle the signs: $ -1 \times 20 = -20 $
Next step: $ 20 \times 93 = 1860 $ and apply the sign: $ -1860 $
Lastly: $ 1860 \times 5 = 9300 $ with the sign: $ -9300 $

By following these steps, we ensure that each multiplication is accurate and straightforward.

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91影视

Find each sum or product. $$ -4 \cdot 5 \cdot 93 \cdot 5 $$

Short Answer

Step by step solution

- Multiply the first two numbers

- Multiply the result with the third number

- Multiply the final result with the fourth number

Key Concepts

Step-by-step multiplication

Negative numbers

Multiplying integers

One App. One Place for Learning.

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