7/10% as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn percentages and decimals. A percentage represents a part from the whole, expressed out of 100. 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 10. A decimal is a way to represent the number that is not whole, using a (.) or a decimal point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 7/10% as a decimal?

$7/10% as a decimal$

Answer

7/10% in decimals can be written as 0.007. This shows that 7/10% is equivalent to 7 out of every 1000 units.

Explanation

To convert 7/10% to a decimal, we first convert the percentage to a fraction over 100. Then we simplify and convert to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Write 7/10% as a fraction over 100, which is (7/10) × (1/100) = 7/1000.

Step 2: Convert the fraction 7/1000 to a decimal, which is 0.007.

The answer for 7/10% as a decimal will be 0.007.

Important Glossaries for 7/10% as a decimal

Percentage: A numerical quantity expressed as a fraction of 100, 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.
Fraction: A numerical representation indicating a part of a whole.
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.