Question

Plot the number 47 on the number line.

Short answer

Plot a dot above the mark labeled 47 on the number line.

Step-by-step solution

Identify the position of 47

The number 47 is a positive integer, which means it is located to the right of zero on the number line.

Draw the number line

Create a horizontal line and mark the center point as 0. Then, add equally spaced marks to the right of 0 for positive numbers.

Label numbers on the number line

Label the marks starting from 0, then 1, 2, 3, and so on, up to at least 47.

Locate and plot 47

Find the mark labeled 47 on the number line and place a point or a dot directly above this mark to indicate the position of 47.

Key concepts

positive integer

A positive integer is any whole number greater than zero. This means numbers like 1, 2, 3, all the way up to infinity.
In mathematics, positive integers are crucial because they help in counting and ordering. For example:

• Counting apples (1 apple, 2 apples, etc.)
• Calculating distances (1 km, 2 km, etc.)

When dealing with a number line, positive integers are found to the right of zero. For the given exercise, you locate the number 47. Since 47 is a positive integer, it will be somewhere to the right of zero on the number line.

number line

A number line is a visual representation of numbers on a straight, horizontal line. It helps us understand the order and spacing of numbers.
Here’s how to create a number line:

• Draw a straight, horizontal line.
• Mark the center point as 0.

Numbers to the right of zero are positive, while those to the left are negative. The space between each mark should be equal to maintain accuracy and simplicity. Number lines are useful in exercises like these, as they provide a clear and simple way to visualize the location of numbers, both positive and negative. In this exercise, we need to plot the number 47, a positive integer, onto the number line. So, we will focus on the right side of the zero mark.

plotting points

Plotting points on a number line is a method of marking specific values. To plot a point, follow these steps:

• First, identify where the number you want to plot is located.
• In this case, it's 47, a positive number. Start from 0 and count to the right until you reach 47.
• Finally, place a dot or a point above the number 47 on the line.

Plotting makes it easy to see the relative position of numbers on the number line. It's a fundamental skill in mathematics that aids in understanding more complex concepts like equations, inequalities, and graphing. In this exercise, recognizing and plotting the number 47 helps visualize its position relative to other numbers.