College

If the product of [tex]156 \times 22[/tex] is 3,432, what is the product of [tex]156 \times 2.2[/tex]?

Explain your thinking.

Answer :

To solve the question, we need to find the product of [tex]\(156 \times 2.2\)[/tex].

1. Start by understanding that we are given the product of [tex]\(156 \times 22\)[/tex], which is 3,432. This is a helpful step because [tex]\(22\)[/tex] and [tex]\(2.2\)[/tex] are closely related numbers, with [tex]\(2.2\)[/tex] being just one-tenth of [tex]\(22\)[/tex].

2. Since we know [tex]\(22\)[/tex] is ten times larger than [tex]\(2.2\)[/tex], if we have the product of [tex]\(156 \times 22\)[/tex] as 3,432, we can adjust this by dividing the result by 10. This is because multiplying by [tex]\(2.2\)[/tex] instead of [tex]\(22\)[/tex] means you shift the decimal one place to the left.

3. So, take the product of [tex]\(156 \times 22\)[/tex], which is 3,432, and divide it by 10 to find [tex]\(156 \times 2.2\)[/tex].

4. [tex]\( \frac{3432}{10} = 343.2 \)[/tex].

Therefore, the product of [tex]\(156 \times 2.2\)[/tex] is 343.2.