-7/4 as a Decimal

Answer

-7/4 in decimals can be written as -1.75. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get -7/4 in decimal, we will use the division method. Here, since -7 is smaller in absolute value than 4, we will directly divide and express it in decimal form. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (-7) will be taken as the dividend and the denominator (4) will be taken as the divisor.

Step 2: Divide -7 by 4. Since -7 is negative, our result will also be negative.

Step 3: Perform the division: 4 goes into 7 once, with a remainder of 3.

Step 4: Bring down a 0 to make the remainder 30. 4 goes into 30 seven times, with a remainder of 2.

Step 5: Bring down another 0 to make the remainder 20. 4 goes into 20 five times, with no remainder. This process gives us a terminating decimal.

The answer for -7/4 as a decimal will be -1.75.

• 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, which can be negative.
   
• 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.