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Chapter 5: Problem 1

Find the sum and product of 7,11 and 91 .

Short Answer

Expert verified
The sum is 109, and the product is 7007.

Step by step solution

01

Identify the Numbers

First, let's clearly state the numbers we are working with. They are 7, 11, and 91.
02

Calculate the Sum

Add the numbers together to find the sum. This is calculated as follows: \[7 + 11 + 91\]First, add 7 and 11: \[7 + 11 = 18\]Then add 91 to that result: \[18 + 91 = 109\]So, the sum is 109.
03

Calculate the Product

Multiply the numbers together to find the product. This can be calculated step by step:\[7 \times 11 \times 91\]First, multiply 7 and 11:\[7 \times 11 = 77\]Then multiply that result by 91:\[77 \times 91 = 7007\]Therefore, the product is 7007.

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Key Concepts

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

Sum Calculation
Calculating the sum of numbers involves adding them together to arrive at a total. In our example, we have three numbers: 7, 11, and 91. When calculating a sum, you proceed by adding two numbers first, then adding the result to the next number.

Adding the first two numbers gives us:
  • \(7 + 11 = 18\)
We then add the third number to this sum:
  • \(18 + 91\)
  • \(= 109\)
The sum of 7, 11, and 91 is therefore 109. Calculating sums is straightforward and involves basic addition, a fundamental arithmetic operation.
Product Calculation
The product of numbers is the result of multiplying them together. For the numbers 7, 11, and 91, we follow a step-by-step procedure to find the product. Multiplication, like addition, is a basic arithmetic operation but used to find the total when numbers are repeated groups.

Firstly, let's multiply the first two numbers:
  • \(7 \times 11 = 77\)
Next, take this result and multiply it by the third number:
  • \(77 \times 91 = 7007\)
Thus, the product of 7, 11, and 91 is 7007. Understanding this process helps in breaking down complex multiplication into simpler and manageable steps.
Step-by-Step Solution
Working through problems using a step-by-step solution helps in fully understanding the process and avoids mistakes. In our case, we started with stating the numbers clearly: 7, 11, and 91.

To find the sum, we proceeded by adding two numbers first, simplifying each part of the calculation with a clear sequence.
  • \(7 + 11\)
  • add \(91\) to the result
For the product, we did something similar. Begin multiplying two numbers, then take this result and multiply by the next number.
  • \(7 \times 11\)
  • then multiply \(77\) by \(91\)
This step-by-step approach ensures clarity and helps build confidence in solving arithmetic problems efficiently.

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