0.03 x 1.75: Understanding Decimal Multiplication
When we encounter an expression like 0.03 x 1.75, it's essential to understand the concept of decimal multiplication. In this article, we'll break down the process of multiplying decimals and provide a step-by-step guide to solving the problem.
What is Decimal Multiplication?
Decimal multiplication involves multiplying two or more decimal numbers. Unlike whole numbers, decimal numbers have digits after the decimal point. To multiply decimals, we need to follow specific rules to ensure accurate results.
The Problem: 0.03 x 1.75
Let's solve the problem at hand: 0.03 x 1.75. To multiply these decimals, we'll follow these steps:
Step 1: Multiply the Numbers
Multiply the numbers as you would with whole numbers:
0.03 × 1.75 = ?
Multiplying the numbers, we get:
0.03 × 1.75 = 0.0525
Step 2: Count the Decimal Places
Count the total number of decimal places in the original numbers:
0.03 has 2 decimal places (0.0_) 1.75 has 2 decimal places (1._5)
Add the decimal places: 2 + 2 = 4
Step 3: Place the Decimal Point
Place the decimal point in the product to ensure the correct number of decimal places:
0.0525
The Answer
The result of multiplying 0.03 and 1.75 is:
0.03 x 1.75 = 0.0525
Understanding decimal multiplication is crucial in various mathematical operations. By following these steps, you can confidently solve problems like 0.03 x 1.75.