1/30 as a Decimal

Professor Greenline Explaining Math Concepts

This is a straightforward problem on decimal conversion. First, we must understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the top number), which shows how many parts we have, and the denominator (the bottom number), which shows how many parts make the whole. Here, the fraction is 1/30, where 1 is the numerator and 30 is the denominator. A decimal is a way to represent a non-whole number, using a point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.

1/30 as a Decimal for US Students

What is 1/30 as a decimal?

$1/30 as a decimal$ Answer

1/30 as a decimal can be written as 0.03333…. It is a repeating decimal, indicating that it repeats the same digit infinitely.

Explanation

To convert 1/30 into a decimal, we use division. Since 1 is smaller than 30, we utilize the decimal method to obtain 0.0333. Let's break down the steps:

Step 1: Identify the numerator and denominator. Here, the numerator (1) will be the dividend, and the denominator (30) will be the divisor.

Step 2: Since 1 is smaller than 30, direct division isn't possible, so we'll use decimals. We'll add 0 to the dividend, making 1 into 10, and insert a decimal point in the quotient.

Step 3: Now, treat it as 10 divided by 30. Since 10 is smaller, we add another 0 to make it 100.

Step 4: 100 divided by 30 goes 3 times (since 30 × 3 = 90). Write 3 in the quotient and subtract 90 from 100 to get 10.

Step 5: Bring down another 0 to make it 100 again, and repeat the division. The division continues as the remainder never reaches 0. This is known as a repeating decimal.

The answer for 1/30 as a decimal is 0.03333….

Important Glossaries for 1/30 as a decimal

Fraction: A numerical representation that indicates a part of a whole, not a whole number.

Decimal: A base-ten numerical system using a decimal point to separate whole numbers from fractional parts.

Numerator: The top number in a fraction, showing how many parts are taken from the whole.

Denominator: The bottom number in a fraction, indicating how many parts make up a whole.

Repeating Decimal: A decimal in which one or several digits repeat infinitely.

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About BrightChamps in United States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 1/30 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!