Ask Questions
Step 1: Identify the fraction, which is \frac{3}{8} .
Step 2: Divide the numerator (3) by the denominator (8).
Step 3: Perform the division either manually or with a calculator. 3 \div 8 = 0.375 .
Step 4: The result is 0.375, which is the decimal equivalent of \frac{3}{8}.
Dividing decimals involves converting the division problem into one with whole numbers. Here's how:
Step 1: Align the numbers by their decimal points.
Step 2: If the divisor is not a whole number, shift the decimal point to the right in both the divisor and the dividend until the divisor is a whole number.
Step 3: Divide the numbers as you would with whole numbers.
Step 4: Place the decimal point in the quotient. It should have the same number of decimal places as the shift you made in the dividend.
Multiplying decimals is similar to multiplying whole numbers, but you need to pay attention to the decimal places. Here's how:
Step 1: Multiply the numbers ignoring the decimal points, as if they are whole numbers.
Step 2: Count the total number of decimal places in both multiplicands.
Step 3: In the resulting product, count back from the rightmost digit the total number of decimal places you counted in Step 2.
Step 4: Place the decimal point in this position.
Binary is a number system that uses only 0s and 1s. To convert binary to decimal:
Step 1: Write down the binary number.
Step 2: Starting from the rightmost digit (least significant bit), assign a power of 2 to each digit, beginning with 2^0.
Step 3: Multiply each binary digit by 2 raised to its assigned power.
Step 4: Sum all these values to get the decimal equivalent.
Decimals are essential in many real-world applications:
Money: Decimals are very important in giving a correct representation to monetary values, particularly when the money involved deals with cents or other sub-unit currencies. This is one area that accuracy is indispensable in relation to transactions of finance, accounting, and economic analysis.
Measurements: In subjects like Science or Engineering, decimals may come in very useful in ensuring the degree of accuracy for quantities such as length, weight, volume, or temperature. Decimal accuracy is also important in various everyday activities, such as cooking.
Percentages: Percentages, which are used very often in statistics and finance, and also in everyday calculations, are nothing but decimals expressed as a fraction of 100. Knowledge of decimals proves very useful in the case of percentages, and it is most important when calculating percentage discounts, interest rates, or percentage statistics.
Statistics and Probability: Decimals are used to make possible the expression of high-precision probabilities, percentages, and other measurements of data in the field of statistics and probability. This makes it very easy for making statistical analysis-based decisions.
Maps and Scales: Decimals on a map represent a much more precise and accurate representation of measures for distance on the earth's surface. A scale on a map can usually use decimals to illustrate a measurement, which enables an individual to navigate and plan with an appropriate degree of accuracy.
It has been claimed that the idea of decimals relates to the development of advanced mathematics and further scientific discoveries.
Decimals have a very rich history and certain interesting sides.
24/7 expert live tutors
Unlimited numbers of questions
Step-by-step explanations
You can enjoy