In mathematics, fractions are used to represent parts of a whole. Fractions consist of two parts: the numerator, which indicates the number of parts being considered, and the denominator, which represents the total number of parts in the whole. When a fraction's denominator is 10, it can be easily converted to a decimal.
1/10 as a decimal is 0.1. To convert any fraction to a decimal, simply divide the numerator (top number) by the denominator (bottom number). In the case of 1/10, we have:
1 ÷ 10 = 0.1
Therefore, 1/10 = 0.1
Now that we have established the decimal equivalent of 1/10, let's explore some practical applications of this knowledge in various fields.
1/10 as a Percentage
1/10 in Measurement
1/10 in Interest Rates
Table 1: Common Fractions and Their Decimal Equivalents
Fraction | Decimal | Percentage |
---|---|---|
1/2 | 0.5 | 50% |
1/4 | 0.25 | 25% |
1/5 | 0.2 | 20% |
1/10 | 0.1 | 10% |
1/20 | 0.05 | 5% |
Table 2: Decimals as Fractions
Decimal | Fraction |
---|---|
0.5 | 1/2 |
0.25 | 1/4 |
0.2 | 1/5 |
0.1 | 1/10 |
0.05 | 1/20 |
Table 3: Equivalent Percentages and Fractions
Percentage | Fraction | Decimal |
---|---|---|
10% | 1/10 | 0.1 |
20% | 1/5 | 0.2 |
25% | 1/4 | 0.25 |
50% | 1/2 | 0.5 |
75% | 3/4 | 0.75 |
Story 1:
A baker needs to make 10 dozen cookies. The recipe calls for 1/10 cup of butter for each dozen cookies.
1/10 cup x 10 dozen = 1 cup
Lesson Learned: Understanding 1/10 as a decimal enables precise ingredient measurements, ensuring successful baking outcomes.
Story 2:
A student scores 90 out of 100 on a test. The teacher wants to express the score as a percentage.
90 ÷ 100 x 100 = 90%
Lesson Learned: Converting fractions to decimals is crucial for accurately expressing percentages in various contexts, including academic grading.
Story 3:
A loan company offers an interest rate of 10% per year on a loan of $10,000 for 5 years.
$10,000 x 0.1 x 5 = $5,000
Lesson Learned: Grasping 1/10 as a decimal is essential in financial calculations, particularly for determining interest payments on loans and investments.
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