Locating Decimals on a Number Line
Locating Decimals on a Number Line is a Grade 4 math skill in enVision Mathematics, Chapter 12: Understand and Compare Decimals. Students learn to place decimal values on a number line by identifying the whole numbers the decimal falls between and using tenths and hundredths divisions.
Key Concepts
Property To locate a decimal on a number line, first identify the whole numbers the decimal is between. Then, divide the space between these whole numbers into ten equal parts, representing tenths. For hundredths, imagine each tenth is further divided into ten smaller parts.
Examples To locate $0.4$, find the fourth mark on a number line divided into tenths between $0$ and $1$. To locate $1.6$, find the sixth mark on a number line divided into tenths between $1$ and $2$. To locate $0.83$, find the eighth tenth ($0.8$), then move three hundredths past it, placing the point slightly before the ninth tenth ($0.9$).
Explanation Locating a decimal on a number line is similar to finding a fraction. The number line is based on powers of ten. The space between each whole number is divided into ten equal parts to show tenths. Each of those tenths can be subdivided into another ten parts to show hundredths, allowing for precise placement of decimal values.
Common Questions
How do you locate a decimal on a number line?
Identify the whole numbers the decimal falls between, then divide that space into ten equal parts for tenths. Count the appropriate number of marks to find the decimal point location.
How do you locate hundredths on a number line?
Find the correct tenth first, then imagine each tenth divided into 10 smaller parts for hundredths. Count the remaining hundredths past the tenth to place the decimal.
What is an example of locating a decimal on a number line?
To locate 0.4, find the fourth mark on a number line divided into tenths between 0 and 1.
How do you locate 0.83 on a number line?
Find the 0.8 mark (eighth tenth), then move 3 hundredths past it, placing the point slightly before the 0.9 mark.
What chapter covers locating decimals in enVision Grade 4?
Locating decimals on a number line is covered in Chapter 12: Understand and Compare Decimals in enVision Mathematics Grade 4.