Question

Find each quantity without using a calculator. \(\frac{1}{10,000}\) of 55.66

Short answer

0.005566

Step-by-step solution

Understand the Problem

We need to find \(\frac{1}{10,000}\) of 55.66. This means we will divide 55.66 by 10,000.

Set Up the Division

Set up the problem as follows: \(\frac{55.66}{10,000} \)

Perform the Division

To divide by 10,000, move the decimal point in 55.66 four places to the left because 10,000 has four zeros. \(\frac{55.66}{10,000} = 0.005566\)

Write the Final Answer

Thus, \(\frac{1}{10,000}\) of 55.66 is 0.005566.

Key concepts

fractions

A fraction represents a part of a whole number. It is written as \(\frac{numerator}{denominator}\). The numerator shows how many parts we have, while the denominator shows how many equal parts the whole is divided into. In our exercise, \(\frac{1}{10,000}\) means we are taking one part out of 10,000 equal parts. To find \(\frac{1}{10,000}\) of 55.66, we need to divide 55.66 by 10,000. This way, we are essentially breaking the number 55.66 into 10,000 equal tiny pieces and taking just one of those pieces.

decimal point

A decimal point is a dot used to separate the whole number part from the fractional part of a number. For example, in 55.66, 55 is the whole number and 66 is the fraction. In our exercise, the decimal point plays a crucial role while performing the division by 10,000. To divide by a number with zeros (like 10,000), you move the decimal point to the left. The number of zeros tells you how many places to move the point. In this case, moving it four places to the left turns 55.66 into 0.005566.

long division

Long division is a method used to divide large numbers into smaller, more manageable pieces. For dividing 55.66 by 10,000, we don’t need the traditional long division setup. Instead, the principle is simple: move the decimal. However, sometimes you might still use long division for more complex problems. When doing long division, you write down your problem, divide step by step, bring down numbers as needed, and subtract until you reach the final answer.