-7/5 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top) here, -7 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is -7/5 as a decimal?

$-7/5 as a decimal$

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.

Important Glossaries for -7/5 as a decimal

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.