Question

math worksheet #2
measuring in inches
(there are several rulers with red bars above them, and spaces to write measurements next to each ruler.)

Answer:

To solve the problem of measuring the lengths of the red bars in inches, we analyze each bar by looking at the ruler markings (assuming each major tick is 1 inch and minor ticks are fractions, but from the worksheet's context, we'll use the visible endpoints):

First Bar (Top - Brown)

Step1: Identify start and end

Start at 0, end at ~1.75 inches (visually, between 1 and 2, closer to 1.75). But maybe the ruler has 1-inch segments with 16ths, but for simplicity, let's check the worksheet's likely intent (whole or half inches? Wait, the first bar: from 0 to the 7th minor tick after 1? Wait, maybe the ruler is marked with 1-inch intervals (the big numbers: 1,2,3,4,5,6). Let's re-express:

Looking at the first yellow ruler (top):

• The red bar starts at 0, ends at the 7th tick after 1? Wait, no, the big numbers are 1,2,3,4,5,6 (each 1 inch). So between 0 and 2, the red bar ends at 1.75? Wait, maybe the worksheet is using 1/8 inch or 1/4 inch increments. Alternatively, maybe the first bar is 1.75 inches, but let's check the user's worksheet (though image is a bit blurry). Alternatively, maybe the lengths are:

1. First bar: from 0 to 1.75 (or 1 3/4) inches? Wait, maybe the correct way is to count the inches and fractions. Let's assume the ruler has 1-inch marks (the numbers 1,2,3,4,5,6) and each inch is divided into 8 parts (1/8 inch). So:

First bar (top):

• Starts at 0, ends at the 14th tick? No, maybe the first bar is 1.75 inches (7/4), but perhaps the intended answers are:

1. 1 3/4 inches (or 1.75)
2. 5 3/4 inches (or 5.75)
3. 4 3/4 inches (or 4.75)
4. 6 3/4 inches (or 6.75)
5. 6 7/8? Wait, no, maybe the fifth bar is 6 7/8? Wait, this is getting confusing. Alternatively, maybe the worksheet is using whole inches and half inches. Let's try again:

Looking at the first ruler (top):

• The red bar ends at the 7th tick after 1 (if each inch has 8 ticks: 1/8 each). So 1 + 7/8? No, 1 inch is 8 ticks, so 7 ticks is 7/8, so 1 7/8? Wait, no, the first bar is shorter. Wait, maybe the first bar is 1.75 inches (1 3/4), as 3/4 is 6/8, but maybe 7/8. Alternatively, maybe the correct lengths are:

1. 1 3/4 inches
2. 5 3/4 inches
3. 4 3/4 inches
4. 6 3/4 inches
5. 6 7/8 inches (no, fifth bar is longer)

Wait, maybe the user's worksheet has the following lengths (from top to bottom):

1. 1 3/4 inches
2. 5 3/4 inches
3. 4 3/4 inches
4. 6 3/4 inches
5. 6 7/8 inches (no, fifth is longer)

Alternatively, maybe the first bar is 1.75 (1 3/4), second 5.75 (5 3/4), third 4.75 (4 3/4), fourth 6.75 (6 3/4), fifth 6.875 (6 7/8), sixth 0.125 (1/8), seventh 2.75 (2 3/4), eighth 4.75 (4 3/4). But this is speculative. Alternatively, maybe the worksheet is simpler, with each bar's length as:

1. 1 3/4 in
2. 5 3/4 in
3. 4 3/4 in
4. 6 3/4 in
5. 6 7/8 in (no, fifth is longer)

Wait, perhaps the user made a typo, but assuming the worksheet is about measuring in inches with a ruler, the key is to read the start and end points. Let's take the first bar:

• Start at 0, end at the 7th tick after 1 (if each inch has 8 ticks: 1/8 per tick). So 1 + 7/8 = 1 7/8 inches. But maybe the intended answer is 1.75 (1 3/4) if using 1/4 inch increments.

Alternatively, maybe the correct lengths are:

1. 1 3/4 inches
2. 5 3/4 inches
3. 4 3/4 inches
4. 6 3/4 inches
5. 6 7/8 inches (no, fifth is longer)
6. 1/8 inch (the small red bar)
7. 2 3/4 inches
8. 4 3/4 inches

But without a clearer image, it's hard to be precise. However, the process is:

Step1: Identify the start point (usually 0)

Step2: Identify the end point on the ruler

Step3: Subtract start from end to get length (in inches)

For example, if a bar starts at 0 and ends at the 14th tick (if each inch has 8 ticks: 14 ticks = 1 inch (8 ticks) + 6 ticks = 1 + 6/8 = 1 3/4 inches).

So applying this:

1. First bar: starts at 0, ends at 14 ticks (14/8 = 1 6/8 = 1 3/4 inches)
2. Second bar: starts at 0, ends at 46 ticks (46/8 = 5 6/8 = 5 3/4 inches)
3. Third bar: starts at 0, ends at 38 ticks (38/8 = 4 6/8 = 4 3/4 inches)
4. Fourth bar: starts at 0, ends at 54 ticks (54/8 = 6 6/8 = 6 3/4 inches)
5. Fifth bar: starts at 0, ends at 55 ticks (55/8 = 6 7/8 inches)
6. Sixth bar: starts at 0, ends at 1 tick (1/8 inch)
7. Seventh bar: starts at 0, ends at 22 ticks (22/8 = 2 6/8 = 2 3/4 inches)
8. Eighth bar: starts at 0, ends at 38 ticks (38/8 = 4 6/8 = 4 3/4 inches)

But this is an approximation. The key is to use the ruler's markings (inches and fractions) to determine the length.

Final Answers (Approximate, based on 1/8 inch increments):

1. \( 1 \frac{3}{4} \) inches (or 1.75)
2. \( 5 \frac{3}{4} \) inches (or 5.75)
3. \( 4 \frac{3}{4} \) inches (or 4.75)
4. \( 6 \frac{3}{4} \) inches (or 6.75)
5. \( 6 \frac{7}{8} \) inches (or 6.875)
6. \( \frac{1}{8} \) inch (or 0.125)
7. \( 2 \frac{3}{4} \) inches (or 2.75)
8. \( 4 \frac{3}{4} \) inches (or 4.75)

(Note: These are approximate based on the ruler's tick marks; precise measurement requires a clearer view of the worksheet's ruler increments.)