-5/4 as a Decimal

Answer

-5/4 as a decimal can be written as -1.25. This is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert -5/4 into a decimal, we will use the division method. Since 5 is larger than 4, division can proceed.

Step 1: Identify the numerator and denominator. Here, the numerator (-5) is the dividend and the denominator (4) is the divisor.

Step 2: Divide 5 by 4. 4 goes into 5 once with a remainder of 1.

Step 3: After the initial division, add a decimal point in the quotient and bring down a 0, making the remainder 10.

Step 4: Divide 10 by 4, which goes 2 times (4 × 2 = 8) with a remainder of 2.

Step 5: Bring down another 0 to make 20, then divide by 4, which goes 5 times (4 × 5 = 20) with no remainder.

Thus, the division ends here, and -5/4 as a decimal is -1.25.

• 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.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.