-3/7 as a Decimal

Answer

-3/7 in decimals can be written as -0.428571…. It is a recurring decimal, indicating it will repeat a sequence of digits infinitely.

Explanation

To convert -3/7 into a decimal, we will use the division method. Since 3 is smaller than 7, we will use the decimal method, which will give us -0.428571. 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 (7) will be the divisor.

Step 2: As 3 is smaller than 7, it can't be divided. Here, we will use decimals. We will add 0 to the dividend, which will make it 30, and add a decimal point in the quotient place.

Step 3: Now that it is 30, we can divide it by 7. Let's see how many times 7 fits into 30.

Step 4: 30 is not a multiple of 7, so we will look for the nearest number that is 7 × 4 = 28. We will write 4 in the quotient place and subtract 28 from 30, giving us 2.

Step 5: Bring down another 0 in the dividend place, making it 20, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for -3/7 as a decimal will be -0.428571….

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.