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Question

Here is the context of this question

The first step to understanding why multiplication works is understanding what a multiple-digit integer really is. You have been working with integers for so long that this understanding is intuitive. In the decimal system, each digit represents a different power of ten. The integer 1 is equal to 100, the integer 10 is equal to 101, the integer 100 is equal to 102, the integer 1,000 equals 103, and so on.

And here is the question

1. Integers with different values in each digit can be expanded in a similar way. For these integers, you must use addition between each digit. In the case of 24, this means using the form (2 × 101) + (4 × 100). What would the integer 2,341 look like if you used this notation?

Answer 1

1. Integers with different values in each digit can be expanded in a similar way. For these integers, you must use addition between each digit. In the case of 24, this means using the form (2 × 10¹) + (4 × 10⁰). What would the integer 2,341 look like if you used this notation?

This is how to understand a base 10 number:

2341 is (2 * 10³) + (3 * 10²) + (4 * 10¹) + (1 * 10⁰)

Answer 2

First let's turn 2341 backwards to make this easier (because the rightmost number starts at 100): 1432.

So going left to right it would be (1 x 100) + (3 x 101) + (4 x 102) + (2 x 103) = 1017