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Last updated on March 27th, 2025
This is a simple question about decimal conversion. First, we need to understand fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top), here 19, which shows how many parts of the whole are being considered, and the denominator (the number below), here 10, which indicates how many parts make up the whole. A decimal is a way to represent a non-whole number, 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 part, and those to the right represent the fractional part.
19/10 in decimal form is written as 1.9. This is a terminating decimal, meaning it ends after a finite number of digits.
To convert 19/10 to a decimal, we use the division method. Since 19 is larger than 10, we can divide directly without introducing a decimal point initially. Let's break down the process step by step:
Step 1: Identify the numerator and denominator. The numerator (19) is the dividend, and the denominator (10) is the divisor.
Step 2: Divide 19 by 10. Since 19 is larger than 10, we can perform the division directly.
Step 3: 10 goes into 19 one time (1 × 10 = 10). Write 1 in the quotient place and subtract 10 from 19, which gives 9.
Step 4: Bring down a 0 (because we are working with base 10) and make 90.
Step 5: 10 goes into 90 nine times (9 × 10 = 90), and the remainder is 0. Since the remainder is 0, the division process ends here, making it a terminating decimal.
The answer for 19/10 as a decimal is 1.9.