Calculate the Product: 14.6 × 150 Decimal Multiplication

Question

14.6×150= 14.6\times150=

Video Solution

Step-by-Step Solution

To solve this problem, we'll proceed with these steps:

  • Step 1: Multiply 146 by 150, ignoring the decimal point initially.
  • Step 2: Adjust for the decimal point after completing the multiplication.

Step 1: Consider 14.6 as 146, so multiply 146 by 150:

  • First, multiply 146 by 10: 146×10=1460146 \times 10 = 1460.
  • Next, multiply 1460 by 15. We can break this into smaller steps:
  • 1460×151460 \times 15 can be computed as (1460×10)+(1460×5)(1460 \times 10) + (1460 \times 5).
  • 1460×10=146001460 \times 10 = 14600.
  • 1460×5=73001460 \times 5 = 7300.
  • Add these products: 14600+7300=2190014600 + 7300 = 21900.

Step 2: Since we treated 14.6 as 146 (multiplied by 10 initially), divide the result by 10:

  • 21900÷10=219021900 \div 10 = 2190.

Therefore, the product of 14.6×15014.6 \times 150 is 21902190.

Answer

2190 2190