What is 105×0.4=
The Correct Answer and Explanation is :
The correct answer to 105 × 0.4 is 42.
Explanation:
- Basic Concept:
Multiplication involves scaling one number by another. In this case, you’re multiplying 105 by 0.4, which is less than 1. When you multiply by a number less than 1, you are essentially finding a portion of the original number. - Breaking it Down:
To make the process clearer, you can think of multiplying by 0.4 as multiplying by 4 and then dividing by 10. This is because 0.4 is the same as 4/10. Step 1: Multiply 105 by 4.
[
105 \times 4 = 420
] Step 2: Divide 420 by 10.
[
420 \div 10 = 42
] So, 105 × 0.4 = 42. - Real-Life Applications:
Multiplication by decimals is used in many real-life situations. For example, if you’re shopping and see a product priced at $105 but it’s on a 40% sale, you’d calculate 40% of 105 to find the discount. The discount would be $42, and you’d subtract that from the original price to find the new cost. - Understanding Decimal Multiplication:
The decimal point shifts based on the place value of the numbers. When multiplying by decimals, like in this case, the decimal point helps indicate the size of the result relative to whole numbers. Multiplying by 0.4 reduces 105 to 40% of its value, which gives you 42.
This is a straightforward process once you understand the relationship between decimals and fractions.