how,arrays and an expanded algorithm
it is a 4th grade homework
What? be more detailed..
27*17=
21*6
HOW TO DO ARRAYS AND AN EXPANDED ALGORITHM
To understand how arrays and expanded algorithms work, let's break down each concept separately:
Arrays:
An array is a data structure that stores a collection of similar elements. It allows you to store multiple values of the same data type under a single variable name. Each value within an array is assigned a unique index, starting from 0.
For example, let's say you have an array of numbers: [2, 4, 6, 8, 10]. In this case, the array has 5 elements, and the index of each element would be as follows:
- Index 0: 2
- Index 1: 4
- Index 2: 6
- Index 3: 8
- Index 4: 10
You can access elements within an array by using their index. For instance, to access the element at index 2 (which is 6 in this example), you would write arrayName[2].
Expanded Algorithm:
An expanded algorithm is a step-by-step breakdown of a mathematical calculation or problem-solving process. It provides more detailed instructions compared to a simple algorithm. In math, expanded algorithms can be used to perform operations like addition, subtraction, multiplication, and division.
For example, consider a math problem, such as calculating 235 + 198 using an expanded algorithm for addition. Here's how you would break it down step-by-step:
2 3 5 <-- Numbers being added (addends)
+ 1 9 8 <-- Numbers being added (addends)
------------------
4 3 3 <-- Sum (result)
You start by adding the digits in the ones place (5 + 8), which equals 13. Write down the number 3 in the ones place and carry over the 1 to the tens place. Then, add the digits in the tens place (3 + 9 + 1), which equals 13. Write down the number 3 in the tens place and carry over the 1 to the hundreds place. Finally, add the digits in the hundreds place (2 + 1), which equals 3. Write down the number 3 in the hundreds place to get the final sum: 433.
In summary, arrays help organize data by allowing you to store multiple values in a single variable with unique indices. Expanded algorithms provide a detailed step-by-step breakdown of mathematical calculations to solve problems.