College

Multiply with decimals:

1. [tex]$36.2 \times 54$[/tex]

2. [tex]$55 \times 96.2$[/tex]

Answer :

Let's solve the given problems step by step.

1. Calculating [tex]\(36.2 \times 54\)[/tex]:

To multiply these two numbers, you proceed as follows:

- Step 1: Multiply the decimal number by the whole number without considering the decimal point. So, calculate [tex]\(362 \times 54\)[/tex].

- Step 2: After calculating, remember to place the decimal back in the result. Since 36.2 has one decimal place, the result should have one decimal place as well.

When you do the multiplication [tex]\(362 \times 54\)[/tex], the result is [tex]\(19548\)[/tex]. Now, place the decimal point back at one place from the right, resulting in [tex]\(1954.8\)[/tex].

So, the product of [tex]\(36.2\)[/tex] and [tex]\(54\)[/tex] is 1954.8.

2. Calculating [tex]\((55 \times 96) \div 2\)[/tex]:

First, you multiply 55 by 96:

- Multiply: [tex]\(55 \times 96 = 5280\)[/tex].

Then, divide the result by 2:

- Divide: [tex]\(5280 \div 2 = 2640\)[/tex].

Thus, the final result for this set of operations is 2640.

Summary of Results:
- [tex]\(36.2 \times 54 = 1954.8\)[/tex]
- [tex]\((55 \times 96) \div 2 = 2640\)[/tex]