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Last updated on March 17th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here -3 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 10. A decimal is a way to represent numbers that are not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
-3/10 in decimals can be written as -0.3. It is a terminating decimal, meaning it does not repeat infinitely.
To get -3/10 in decimal, we will use the division method. Here, as -3 is smaller than 10, we will take the help of the decimal method, which will give us -0.3. Let's see the step-by-step breakdown of the process.
Step 1: Identify the numerator and denominator because the numerator (-3) will be taken as the dividend and the denominator (10) will be taken as the divisor.
Step 2: Since -3 is smaller than 10, we will add a decimal point in the quotient place. We will add 0 to the dividend, which will make -3 as -30.
Step 3: Now that it is -30, we can divide it by 10. Let's see how many times 10 makes -30.
Step 4: -30 is a multiple of 10, so we will find that 10 × -3 = -30. We will write -3 in the quotient place.
Step 5: As there is no remainder, the division process ends here. This process is called a terminating decimal.
The answer for -3/10 as a decimal will be -0.3.