College

Use the calculation [tex]$71 \times 41$[/tex] to find [tex]$71 \times 4.1$[/tex]. Fill in the guided sentences below.

4.1 is one tenth of 41, so [tex]$71 \times 4.1$[/tex] is one tenth of [tex]$71 \times 41$[/tex]. We move the decimal point to the left one time.

[tex]$71 \times 41 = 2911$[/tex], therefore [tex]$71 \times 4.1 = \square$[/tex].

Answer :

Let's solve the problem step-by-step.

1. Understanding the Calculation: We start with the expression [tex]\(71 \times 41\)[/tex]. This operation gives us a result of 2911.

2. Relating [tex]\(4.1\)[/tex] to [tex]\(41\)[/tex]: Notice that [tex]\(4.1\)[/tex] is one-tenth of [tex]\(41\)[/tex]. This means [tex]\(4.1 = \frac{41}{10}\)[/tex].

3. Adjusting the Original Calculation: Since [tex]\(4.1\)[/tex] is one-tenth of [tex]\(41\)[/tex], multiplying [tex]\(71 \times 4.1\)[/tex] is the same as multiplying [tex]\(71 \times 41\)[/tex] and then taking one-tenth of the result.

4. Finding [tex]\(71 \times 4.1\)[/tex]: We now take the result of [tex]\(71 \times 41 = 2911\)[/tex] and find one-tenth of it. This is done by dividing [tex]\(2911\)[/tex] by [tex]\(10\)[/tex].

5. Result:
- [tex]\(71 \times 4.1 = 291.1\)[/tex].

So, the final answers are [tex]\(71 \times 41 = 2911\)[/tex] and [tex]\(71 \times 4.1 = 291.1\)[/tex].