0.75×100,000 in decimals
The Correct Answer and Explanation is :
The result of (0.75 \times 100,000) is 75,000.
Explanation:
To break it down, the multiplication involves multiplying a decimal number (0.75) by a whole number (100,000). Here’s the step-by-step process:
- Understanding the Decimal:
- The number 0.75 is a decimal, which means it is a part of a whole. Specifically, 0.75 represents 75 out of 100, or three-quarters of a whole (0.75 = 75/100). This can be rewritten as a fraction.
- Multiplying with a Whole Number:
- When you multiply a decimal by a whole number, you can think of the operation as scaling the whole number by the value of the decimal. Essentially, you’re calculating 75% of 100,000, because 0.75 means 75% of a number.
- Carrying out the Multiplication:
- Start by multiplying 100,000 by 75 (the numerator of 0.75 as a fraction). This gives:
[
100,000 \times 75 = 7,500,000
] - Next, divide that result by 100, as the denominator of 0.75 is 100:
[
\frac{7,500,000}{100} = 75,000
]
- Final Result:
- Thus, the result of (0.75 \times 100,000) is 75,000.
General Concept:
Multiplying decimals by whole numbers is a fundamental arithmetic skill. The key is to recognize the decimal as a fraction (in this case, 0.75 as 75/100), multiply it by the whole number, and then simplify the result if necessary. This helps with understanding proportions, percentages, and real-world applications like financial calculations or scaling quantities.