# What is 1/498 as a decimal?

## Solution and how to convert 1 / 498 into a decimal

1 / 498 = 0.002

1/498 converted into 0.002 begins with understanding long division and which variation brings more clarity to a situation. Fractions and decimals represent parts of a whole, sometimes representing numbers less than 1. In certain scenarios, fractions would make more sense. Ex: baking, meal prep, time discussion, etc. While decimals bring clarity to others including test grades, sale prices, and contract numbers. So let’s dive into how and why you can convert 1/498 into a decimal.

## 1/498 is 1 divided by 498

Teaching students how to convert fractions uses long division. The great thing about fractions is that the equation is already set for us! The numerator is the top number in a fraction. The denominator is the bottom number. This is our equation! To solve the equation, we must divide the numerator (1) by the denominator (498). Here's how our equation is set up:

### Numerator: 1

• Numerators are the parts to the equation, represented above the fraction bar or vinculum. With a value of 1, you will have less complexity to the equation; however, it may not make converting any easier. The bad news is that it's an odd number which makes it harder to covert in your head. Ultimately, having a small value may not make your fraction easier to convert. Now let's explore X, the denominator.

### Denominator: 498

• Denominators differ from numerators because they represent the total number of parts which can be found below the vinculum. 498 is one of the largest two-digit numbers to deal with. The good news is that having an even denominator makes it divisible by two. Even if the numerator can't be evenly divided, we can estimate a simplified fraction. Have no fear, large two-digit denominators are all bark no bite. Now it's time to learn how to convert 1/498 to a decimal.

## Converting 1/498 to 0.002

### Step 1: Set your long division bracket: denominator / numerator

$$\require{enclose} 498 \enclose{longdiv}{ 1 }$$

We will be using the left-to-right method of calculation. Yep, same left-to-right method of division we learned in school. This gives us our first clue.

### Step 2: Extend your division problem

$$\require{enclose} 00. \\ 498 \enclose{longdiv}{ 1.0 }$$

Because 498 into 1 will equal less than one, we can’t divide less than a whole number. So that means we must add a decimal point and extend our equation with a zero. Even though our equation might look bigger, we have not added any additional numbers to the denominator. But now we can divide 498 into 1 + 0 or 10.

### Step 3: Solve for how many whole groups you can divide 498 into 10

$$\require{enclose} 00.0 \\ 498 \enclose{longdiv}{ 1.0 }$$

We can now pull 0 whole groups from the equation. Multiply by the left of our equation (498) to get the first number in our solution.

### Step 4: Subtract the remainder

$$\require{enclose} 00.0 \\ 498 \enclose{longdiv}{ 1.0 } \\ \underline{ 0 \phantom{00} } \\ 10 \phantom{0}$$

If your remainder is zero, that's it! If you still have numbers left over, continue to the next step.

### Step 5: Repeat step 4 until you have no remainder or reach a decimal point you feel comfortable stopping. Then round to the nearest digit.

Remember, sometimes you won't get a remainder of zero and that's okay. Round to the nearest digit and complete the conversion. There you have it! Converting 1/498 fraction into a decimal is long division just as you learned in school.

### Why should you convert between fractions, decimals, and percentages?

Converting between fractions and decimals depend on the life situation you need to represent numbers. Remember, they represent numbers and comparisons of whole numbers to show us parts of integers. Same goes for percentages. Though we sometimes overlook the importance of when and how they are used and think they are reserved for passing a math quiz. But 1/498 and 0.002 bring clarity and value to numbers in every day life. Here are examples of when we should use each.

### When you should convert 1/498 into a decimal

Finance or Money Related Questions: Imagine if you had \$200 to buy a new outfit. If you wait for the items to go on sale, you aren’t going to buy everything for 1/498 off. No, you’ll get everything on 0% discount or 0.002 of the full price.

### When to convert 0.002 to 1/498 as a fraction

Meal Prep - Body builders need to count macro calories. One of the ways of doing this is measuring every piece of food consumed. This is through halves and quarters in order to keep it consistent.

### Practice Decimal Conversion with your Classroom

• If 1/498 = 0.002 what would it be as a percentage?
• What is 1 + 1/498 in decimal form?
• What is 1 - 1/498 in decimal form?
• If we switched the numerator and denominator, what would be our new fraction?
• What is 0.002 + 1/2?
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