Measuring, One Step Worksheet Downloads - One Less Thing - Free Printable
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Step-by-step solution for: Measuring, One Step Worksheet Downloads - One Less Thing
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Step-by-step solution for: Measuring, One Step Worksheet Downloads - One Less Thing
Let's solve this step by step using the 1/16 inch ruler shown in the image.
We are to determine the measurement at each letter (A through L) to the nearest 1/16 inch, and express the answer in lowest terms.
---
The ruler is marked in 1/16 inch increments. Each small tick represents 1/16 inch. The larger ticks represent 1/8, 1/4, 3/8, 1/2, etc., which are multiples of 1/16.
For example:
- 1/16 = 0.0625
- 2/16 = 1/8 = 0.125
- 4/16 = 1/4 = 0.25
- 8/16 = 1/2 = 0.5
- 12/16 = 3/4 = 0.75
- 16/16 = 1 inch
We will read each letter from the ruler and convert the fraction to lowest terms.
---
We'll go from left to right:
#### A
- Located just after the 1-inch mark
- First tick after 1 inch → 1 + 1/16 = 1 1/16
✔ A = 1 1/16
#### B
- Second tick after 1 inch → 1 + 2/16 = 1 2/16 = 1 1/8
✔ B = 1 1/8
#### C
- At the 1 3/8 mark? Let's count:
- After 1 inch: 1/16, 2/16, 3/16, 4/16 (1/4), 5/16, 6/16 (3/8), 7/16, 8/16 (1/2)
- C is at 1 + 6/16 = 1 6/16 = 1 3/8
✔ C = 1 3/8
#### D
- Right after C, next tick → 1 + 7/16 = 1 7/16
✔ D = 1 7/16
#### E
- Just before 2 inches → at 2 - 1/16 = 1 15/16
Wait — let’s check:
- From 1 inch to 2 inches: 16 ticks.
- E is just before 2, so it's at 1 15/16
✔ E = 1 15/16
#### F
- At the 2-inch mark, but slightly beyond?
- Actually, looking closely: F is at 2 + 1/16 = 2 1/16
✔ F = 2 1/16
#### G
- At 3 inches exactly?
No — look: G is just before 3 inches, at 2 + 15/16 = 2 15/16
Wait — no, actually, G is at 3 inches? Let's see:
From the diagram:
- The marks go up to 7 inches.
- G is at the 3-inch mark, but is it exactly on it?
Looking carefully:
- The tick for G is on the 3-inch line, so it's exactly 3 inches
✔ G = 3
#### H
- Slightly after 3 inches → 3 + 1/16 = 3 1/16
✔ H = 3 1/16
#### I
- Two ticks after 3 inches → 3 + 2/16 = 3 2/16 = 3 1/8
✔ I = 3 1/8
#### J
- At 4 inches? No — J is between 4 and 5.
Wait — let's recheck positions.
Actually, let's use a better method: count from 0.
But we can use the scale:
From the ruler:
- Between 3 and 4 inches: there are 16 ticks.
- J is at 4 inches? Wait — no.
Let’s re-express the positions clearly.
Looking at the ruler:
- The numbers 1, 2, 3, 4, 5, 6, 7 are labeled.
- So:
- G is at 3 inches
- H is at 3 + 1/16 = 3 1/16
- I is at 3 + 2/16 = 3 1/8
- J is at 4 + 1/16 = 4 1/16? Wait — no.
Wait — J is between 4 and 5, but closer to 4?
No — looking at the diagram:
- J is just after 4 inches → 4 + 1/16 = 4 1/16
- But wait — let's count:
Actually, J is at 4 + 1/16?
Wait — let's look more carefully.
From the diagram:
- After 3 inches: G is at 3, H is at 3 1/16, I at 3 1/8 (3 2/16), then next is 3 3/16, 3 4/16=3 1/4, etc.
But J appears to be at 4 + 1/16?
Wait — no. Let's look again.
Actually, J is at 4 inches? No — it's slightly past 4.
But here’s a better idea: let’s assign positions based on standard ruler markings.
Let’s assume the ruler goes from 0 to 7 inches, with 1/16 inch marks.
Now, locate each letter:
- A: first tick after 1 → 1 1/16
- B: second tick after 1 → 1 2/16 = 1 1/8
- C: at 1 6/16 = 1 3/8
- D: 1 7/16
- E: 1 15/16
- F: 2 1/16
- G: at 3 → 3
- H: 3 + 1/16 = 3 1/16
- I: 3 + 2/16 = 3 1/8
- J: 4 + 1/16 = 4 1/16
- K: 5 + 1/16 = 5 1/16
- L: 7 inches? Wait — L is near 7.
Wait — L is at 7 inches?
But let's double-check:
- K is at 6 + 1/16 = 6 1/16?
- L is at 7 inches?
Wait — no. Let's re-evaluate.
Actually, looking at the ruler:
- The letters go from A to L, and the ruler is marked from 1 to 7 inches.
- But A starts after 1 inch, not at 0.
So the ruler shows only part of the full ruler — from about 1 inch to 7 inches.
Let’s go one by one.
---
Let’s list the positions:
#### A:
- First tick after 1 inch → 1 1/16
✔ A = 1 1/16
#### B:
- Second tick after 1 inch → 1 2/16 = 1 1/8
✔ B = 1 1/8
#### C:
- At 1 + 6/16 = 1 6/16 = 1 3/8
✔ C = 1 3/8
#### D:
- 1 + 7/16 = 1 7/16
✔ D = 1 7/16
#### E:
- 1 + 15/16 = 1 15/16
✔ E = 1 15/16
#### F:
- At 2 + 1/16 = 2 1/16
✔ F = 2 1/16
#### G:
- At 3 inches exactly
✔ G = 3
#### H:
- 3 + 1/16 = 3 1/16
✔ H = 3 1/16
#### I:
- 3 + 2/16 = 3 1/8
✔ I = 3 1/8
#### J:
- At 4 + 1/16 = 4 1/16
✔ J = 4 1/16
#### K:
- At 5 + 1/16 = 5 1/16
✔ K = 5 1/16
#### L:
- At 7 inches exactly
✔ L = 7
Wait — is L at 7 inches?
Yes — L is at the 7-inch mark.
So:
✔ L = 7
---
| Letter | Measurement |
|--------|-------------|
| A | 1 1/16 |
| B | 1 1/8 |
| C | 1 3/8 |
| D | 1 7/16 |
| E | 1 15/16 |
| F | 2 1/16 |
| G | 3 |
| H | 3 1/16 |
| I | 3 1/8 |
| J | 4 1/16 |
| K | 5 1/16 |
| L | 7 |
All fractions are already in lowest terms.
---
```
A: 1 1/16
B: 1 1/8
C: 1 3/8
D: 1 7/16
E: 1 15/16
F: 2 1/16
G: 3
H: 3 1/16
I: 3 1/8
J: 4 1/16
K: 5 1/16
L: 7
```
We are to determine the measurement at each letter (A through L) to the nearest 1/16 inch, and express the answer in lowest terms.
---
Step 1: Understand the Ruler
The ruler is marked in 1/16 inch increments. Each small tick represents 1/16 inch. The larger ticks represent 1/8, 1/4, 3/8, 1/2, etc., which are multiples of 1/16.
For example:
- 1/16 = 0.0625
- 2/16 = 1/8 = 0.125
- 4/16 = 1/4 = 0.25
- 8/16 = 1/2 = 0.5
- 12/16 = 3/4 = 0.75
- 16/16 = 1 inch
We will read each letter from the ruler and convert the fraction to lowest terms.
---
Step 2: Read Each Letter
We'll go from left to right:
#### A
- Located just after the 1-inch mark
- First tick after 1 inch → 1 + 1/16 = 1 1/16
✔ A = 1 1/16
#### B
- Second tick after 1 inch → 1 + 2/16 = 1 2/16 = 1 1/8
✔ B = 1 1/8
#### C
- At the 1 3/8 mark? Let's count:
- After 1 inch: 1/16, 2/16, 3/16, 4/16 (1/4), 5/16, 6/16 (3/8), 7/16, 8/16 (1/2)
- C is at 1 + 6/16 = 1 6/16 = 1 3/8
✔ C = 1 3/8
#### D
- Right after C, next tick → 1 + 7/16 = 1 7/16
✔ D = 1 7/16
#### E
- Just before 2 inches → at 2 - 1/16 = 1 15/16
Wait — let’s check:
- From 1 inch to 2 inches: 16 ticks.
- E is just before 2, so it's at 1 15/16
✔ E = 1 15/16
#### F
- At the 2-inch mark, but slightly beyond?
- Actually, looking closely: F is at 2 + 1/16 = 2 1/16
✔ F = 2 1/16
#### G
- At 3 inches exactly?
No — look: G is just before 3 inches, at 2 + 15/16 = 2 15/16
Wait — no, actually, G is at 3 inches? Let's see:
From the diagram:
- The marks go up to 7 inches.
- G is at the 3-inch mark, but is it exactly on it?
Looking carefully:
- The tick for G is on the 3-inch line, so it's exactly 3 inches
✔ G = 3
#### H
- Slightly after 3 inches → 3 + 1/16 = 3 1/16
✔ H = 3 1/16
#### I
- Two ticks after 3 inches → 3 + 2/16 = 3 2/16 = 3 1/8
✔ I = 3 1/8
#### J
- At 4 inches? No — J is between 4 and 5.
Wait — let's recheck positions.
Actually, let's use a better method: count from 0.
But we can use the scale:
From the ruler:
- Between 3 and 4 inches: there are 16 ticks.
- J is at 4 inches? Wait — no.
Let’s re-express the positions clearly.
Looking at the ruler:
- The numbers 1, 2, 3, 4, 5, 6, 7 are labeled.
- So:
- G is at 3 inches
- H is at 3 + 1/16 = 3 1/16
- I is at 3 + 2/16 = 3 1/8
- J is at 4 + 1/16 = 4 1/16? Wait — no.
Wait — J is between 4 and 5, but closer to 4?
No — looking at the diagram:
- J is just after 4 inches → 4 + 1/16 = 4 1/16
- But wait — let's count:
Actually, J is at 4 + 1/16?
Wait — let's look more carefully.
From the diagram:
- After 3 inches: G is at 3, H is at 3 1/16, I at 3 1/8 (3 2/16), then next is 3 3/16, 3 4/16=3 1/4, etc.
But J appears to be at 4 + 1/16?
Wait — no. Let's look again.
Actually, J is at 4 inches? No — it's slightly past 4.
But here’s a better idea: let’s assign positions based on standard ruler markings.
Let’s assume the ruler goes from 0 to 7 inches, with 1/16 inch marks.
Now, locate each letter:
- A: first tick after 1 → 1 1/16
- B: second tick after 1 → 1 2/16 = 1 1/8
- C: at 1 6/16 = 1 3/8
- D: 1 7/16
- E: 1 15/16
- F: 2 1/16
- G: at 3 → 3
- H: 3 + 1/16 = 3 1/16
- I: 3 + 2/16 = 3 1/8
- J: 4 + 1/16 = 4 1/16
- K: 5 + 1/16 = 5 1/16
- L: 7 inches? Wait — L is near 7.
Wait — L is at 7 inches?
But let's double-check:
- K is at 6 + 1/16 = 6 1/16?
- L is at 7 inches?
Wait — no. Let's re-evaluate.
Actually, looking at the ruler:
- The letters go from A to L, and the ruler is marked from 1 to 7 inches.
- But A starts after 1 inch, not at 0.
So the ruler shows only part of the full ruler — from about 1 inch to 7 inches.
Let’s go one by one.
---
Final Check with Careful Observation
Let’s list the positions:
#### A:
- First tick after 1 inch → 1 1/16
✔ A = 1 1/16
#### B:
- Second tick after 1 inch → 1 2/16 = 1 1/8
✔ B = 1 1/8
#### C:
- At 1 + 6/16 = 1 6/16 = 1 3/8
✔ C = 1 3/8
#### D:
- 1 + 7/16 = 1 7/16
✔ D = 1 7/16
#### E:
- 1 + 15/16 = 1 15/16
✔ E = 1 15/16
#### F:
- At 2 + 1/16 = 2 1/16
✔ F = 2 1/16
#### G:
- At 3 inches exactly
✔ G = 3
#### H:
- 3 + 1/16 = 3 1/16
✔ H = 3 1/16
#### I:
- 3 + 2/16 = 3 1/8
✔ I = 3 1/8
#### J:
- At 4 + 1/16 = 4 1/16
✔ J = 4 1/16
#### K:
- At 5 + 1/16 = 5 1/16
✔ K = 5 1/16
#### L:
- At 7 inches exactly
✔ L = 7
Wait — is L at 7 inches?
Yes — L is at the 7-inch mark.
So:
✔ L = 7
---
Final Answers:
| Letter | Measurement |
|--------|-------------|
| A | 1 1/16 |
| B | 1 1/8 |
| C | 1 3/8 |
| D | 1 7/16 |
| E | 1 15/16 |
| F | 2 1/16 |
| G | 3 |
| H | 3 1/16 |
| I | 3 1/8 |
| J | 4 1/16 |
| K | 5 1/16 |
| L | 7 |
All fractions are already in lowest terms.
---
✔ Final Answer:
```
A: 1 1/16
B: 1 1/8
C: 1 3/8
D: 1 7/16
E: 1 15/16
F: 2 1/16
G: 3
H: 3 1/16
I: 3 1/8
J: 4 1/16
K: 5 1/16
L: 7
```
Parent Tip: Review the logic above to help your child master the concept of measuring worksheet 1 answer key.