Calculate the Product: 1.23 × 180 Decimal Multiplication

Question

1.23×180= 1.23\times180=

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply each digit by each digit, and place in the appropriate position
00:09 Any number multiplied by 0 always equals 0
00:17 Move to the next digit, calculate and place in the appropriate position
00:23 Calculate and place, add the tens digit when necessary
00:47 Move to the next digit, calculate and place in the appropriate position
00:52 Any number multiplied by 1 always equals itself
01:00 Combine the results
01:08 Sum up all the digits after the decimal point
01:14 Based on this sum, place the decimal point
01:23 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Multiply the numbers.
  • Step 2: Consider the decimal places.

Let's go through each step:
Step 1: We start by calculating the product of 1.23 1.23 and 180 180 . Multiplying the numbers without considering the decimal initially, we treat it as 123×180 123 \times 180 .
Step 2: Calculate 123×180 123 \times 180 . This can be split into simpler calculations, 123×(100+80) 123 \times (100 + 80) :
- 123×100=12300 123 \times 100 = 12300
- 123×80=9840 123 \times 80 = 9840
Adding these: 12300+9840=22140 12300 + 9840 = 22140 .
Since 1.23 1.23 has two decimal places, we place the decimal point back in the product, which gives us 221.40 221.40 , or simplified, 221.4 221.4 .

Therefore, the solution to the problem is 221.4 221.4 .

Answer

221.4 221.4