To find the lengths of line segments
a,
b, and
c, we need to look at where each line starts and ends on the ruler. The ruler is marked in inches, and the small lines between the numbers represent quarters of an inch ($\frac{1}{4}$).
Here is the step-by-step breakdown:
1. Measuring Line Segment a:
*
Start: The line starts at the
0 mark.
*
End: The line ends past the number 1. Let's count the small marks after 1. There are two small marks. Since each small mark is $\frac{1}{4}$, two marks equal $\frac{2}{4}$, which simplifies to $\frac{1}{2}$.
*
Calculation: $1 + \frac{1}{2} = 1\frac{1}{2}$ inches.
2. Measuring Line Segment b:
*
Start: This line does not start at 0. It starts at the
1$\frac{3}{4}$ mark (three small marks past the 1).
*
End: The line ends at the
4$\frac{1}{4}$ mark (one small mark past the 4).
*
Calculation: To find the length, subtract the starting point from the ending point:
$$4\frac{1}{4} - 1\frac{3}{4}$$
It is easier to think about this by counting up or converting to improper fractions, but let's try counting the quarter-inches.
From $1\frac{3}{4}$ to 2 is $\frac{1}{4}$.
From 2 to 4 is 2 whole inches.
From 4 to $4\frac{1}{4}$ is another $\frac{1}{4}$.
Total: $\frac{1}{4} + 2 + \frac{1}{4} = 2\frac{2}{4}$.
Simplify $\frac{2}{4}$ to $\frac{1}{2}$.
So, the length is
$2\frac{1}{2}$ inches.
3. Measuring Line Segment c:
*
Start: The line starts at the
5 mark.
*
End: The line ends at the first small mark after 5, which is
5$\frac{1}{4}$.
*
Calculation: $5\frac{1}{4} - 5 = \frac{1}{4}$ inch.
Final Answer:
a = 1 1/2 in
b = 2 1/2 in
c = 1/4 in
Parent Tip: Review the logic above to help your child master the concept of compare and grade 2 measurement inches feet yards.
