Measuring In Inches Using The 1/16 Parts Of An Inch

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Measuring in Inches

This is a complete lesson with instruction and exercises for fifth grade. It teaches students about measuring in inches, using the 1/16 parts of an inch.

Here are four rulers that all measure in inches. They are NOT to scale. Instead, they are magnified to be “bigger” than the actual rulers, so you can see the divisions better.
The tick-marks are:
every1/2-inch:
every1/4-inch:
every1/8-inch:
every1/16-inch:

1. Find the ½-inch mark, 1 ½ -inch mark, and 2 ½-inch mark on all of the rulers above.

2. Find the ¼-inch mark, the ¾-inch mark, the 1 ¼-inch mark, the 1 ¾-inch mark, the 2 ¼-inch mark, the 2 ¾-inch mark, and the 3 ¼-inch mark on the bottom three rulers above.

3. On the ruler that measures in 8th parts of an inch, find and label tick marks for these points: the 1/8-inch point, the 5/8-inch point, the 7/8-inch point, the 1 5/8-inch point, and the 2 3/8-inch point.

Also, find these same points on the ruler that measures in 16th parts of an inch.

4. Look at the ruler that measures in 16th parts of an inch. On that ruler find tick marks for these points:

  • 3/16 inch
  • 7/16 inch
  • 11/16 inch
  • 1 1/8 inches
  • 2 3/8 inches
  • 7/8 inch
  • 1/4 inch
  • 1 1/4 inches
  • 2 3/4 inches

5. Measure the following colored lines with the rulers given. If the end of the line does not fall exactly on a tick mark, then read the mark that is CLOSEST to the end of the line.

a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
k.
l.

6. Measure the following lines using different rulers. Cut out the rulers from the bottom of this page.

a.

Using the 1/4-inch ruler: __________ in.

Using the 1/8-inch ruler: __________ in.

Using the 1/16-inch ruler: __________ in.

 b.

Using the 1/4-inch ruler: __________ in.

Using the 1/8-inch ruler: __________ in.

Using the 1/16-inch ruler: __________ in.
c.

Using the 1/4-inch ruler: __________ in.

Using the 1/8-inch ruler: __________ in.

Using the 1/16-inch ruler: __________ in.

 d.

Using the 1/4-inch ruler: __________ in.

Using the 1/8-inch ruler: __________ in.

Using the 1/16-inch ruler: __________ in.
e.

Using the 1/4-inch ruler: __________ in.

Using the 1/8-inch ruler: __________ in.

Using the 1/16-inch ruler: __________ in.

 f.

Using the 1/4-inch ruler: __________ in.

Using the 1/8-inch ruler: __________ in.

Using the 1/16-inch ruler: __________ in.

You may cut out the following rulers:

7. Find six items in your home that you can measure with your ruler and measure them.

a. _________________________ _______ in. b. _________________________ _______ in.
c. _________________________ _______ in. d. _________________________ _______ in.
e. _________________________ _______ in. f. _________________________ _______ in.

8. Carefully measure the sides of the quadrilateral at the right, and find its perimeter.

9. A small rectangular bulletin board measures 15 3/4 in. by 9 1/8 in. What is its perimeter?

10. Janet checked the amount of sugar in 10 different cookie recipes. The amounts were (in cups):

1 1/2 1 3/8 1 1 3/4 1 1/2 1 1/8 1 1/4 1 1/4 1 1/2 3/4

a. Make a line plot from this data (below) by drawing an X-mark for each measurement above the number line.

b. If Janet made the recipe with the least amount of sugar three times, how much sugar would she need?

c. If Janet made the recipe with the largest amount of sugar three times, how much sugar would she need?

11. Make a line plot from these measurements (lengths of cockroaches, in inches, in Jake's collection):

1 1/4 1 1/8 1 1/8 1 1/2 1 1 1/8 1 3/8 1 3/4 1 3/8 7/8 1 1/4 2 1/8 1/2 1 1/4 1 1/4

1 1/2 1 1/2 1 1/2 1 5/8

This time, you will need to do the scaling on the number line.

b. What is the mode of this data set?

c. Jake took his five longest cockroaches, and placed them end-to-end. How long a “train” did they form?

12. Measure a bunch of pencils to the nearest 1/8 or 1/16 of an inch. Then make a line plot of your data.

This lesson is taken from Maria Miller's book Math Mammoth Fractions 1, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.

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