16/9 as a Decimal

Answer

16/9 in decimals can be written as 1.77777….. It is a recurring decimal, which means the same digit repeats infinitely.

Explanation

To convert 16/9 into a decimal, we use the division method. Since 16 is larger than 9, division proceeds straightforwardly without needing additional steps for the initial division.

Let's break down the process step by step:

Step 1: Identify the numerator and denominator. Here, the numerator (16) is the dividend, and the denominator (9) is the divisor.

Step 2: Divide 16 by 9. Since 16 is greater than 9, we can perform the division directly.

Step 3: 9 goes into 16 once, so we write 1 in the quotient place, subtract 9 from 16, and get a remainder of 7.

Step 4: Bring down a 0 to make it 70.

Step 5: 9 goes into 70 seven times (9 × 7 = 63), so we write 7 in the quotient place and subtract 63 from 70 to get a remainder of 7.

Step 6: Repeat the process by bringing down another 0, making it 70 again, and dividing by 9.

This repetitive process results in the recurring decimal 1.7777……

• Fraction: A numerical quantity representing a part of a whole, consisting of a numerator and a denominator.
   
• Decimal: A number expressed in the base ten that uses a decimal point to separate the whole and fractional parts.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are considered.
   
• Divisor: A number by which another number (the dividend) is divided. ```