-7/5 as a Decimal

Answer

-7/5 in decimals can be written as -1.4. It is a terminating decimal, meaning it ends after a finite number of digits.

Explanation

To convert -7/5 to a decimal, we will use the division method. Since 7 is greater than 5, we will directly divide 7 by 5 and adjust for the negative sign. 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 (5) will be taken as the divisor.

Step 2: Divide 7 by 5. Since 7 is greater than 5, we can divide directly.

Step 3: 5 goes into 7 once, which gives us 5 × 1 = 5.

Step 4: Subtract 5 from 7, which gives us a remainder of 2.

Step 5: Bring down a 0 to make it 20, and see how many times 5 fits into 20.

Step 6: 5 goes into 20 exactly 4 times, which gives us 5 × 4 = 20, with no remainder.

The answer for -7/5 as a decimal will be -1.4.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole, expressed with a numerator and a denominator.
   
• 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 after a finite number of digits.