What is 49/100 written as a decimal
The correct answer and explanation is:
Correct Answer:
49/100 written as a decimal is 0.49
Explanation:
To write the fraction 49/100 as a decimal, you need to understand how fractions relate to the base-ten number system, which is the foundation of decimals. A fraction is made up of a numerator (the top number) and a denominator (the bottom number). In this case, the numerator is 49, and the denominator is 100.
Since the denominator is 100, a base-ten number, converting the fraction to a decimal is straightforward. You divide the numerator by the denominator:
49 รท 100 = 0.49
This result shows that 49 hundredths is the same as 0.49 in decimal form. The decimal point separates the whole number part from the fractional part. Because 49 is less than 100, the whole number part is zero, and the digits 4 and 9 occupy the tenths and hundredths places respectively.
Decimals represent parts of a whole using place value. Each place after the decimal point represents a power of ten. The first place after the decimal is the tenths place, the second is the hundredths place, the third is the thousandths place, and so on. In the case of 0.49, the 4 is in the tenths place, which represents 4 tenths, and the 9 is in the hundredths place, which represents 9 hundredths.
Understanding how to convert fractions like 49/100 into decimals is useful in real-life situations such as handling money, measuring quantities, or interpreting data. It also forms a basis for more advanced math concepts such as percentages and ratios. Since 0.49 equals 49 out of 100, it can also be expressed as 49 percent in percentage form, which is a direct application of decimals in everyday contexts.