Reading a Weighted Balance and Scale worksheet for learning weight measurement in pounds and ounces.
Worksheet titled "Reading a Weighted Balance and Scale" showing six analog scales with weights in pounds and ounces, asking students to write each weight in three different ways.
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Step-by-step solution for: Reading Balances and Scales Worksheets - 15 Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: Reading Balances and Scales Worksheets - 15 Worksheets Library
To solve this worksheet, we need to read the weight shown on each scale and write it in three different ways:
1. Pounds and ounces (e.g., 2 lb 8 oz)
2. Pounds only (as a decimal or fraction, e.g., 2.5 lb)
3. Ounces only (total ounces, e.g., 40 oz)
Key Conversion Rule:
* 1 pound (lb) = 16 ounces (oz)
Let's go through each scale one by one.
---
* Reading the dial: The needle points exactly halfway between 2 and 3. So, it is 2.5 pounds.
* Step 1: Pounds and Ounces
* We have 2 full pounds.
* The remaining 0.5 lb needs to be converted to ounces: $0.5 \times 16 = 8$ oz.
* Result: 2 lb 8 oz
* Step 2: Pounds only
* As read from the dial: 2.5 lb
* Step 3: Ounces only
* Convert total pounds to ounces: $2.5 \times 16 = 40$ oz.
* Alternatively: $(2 \times 16) + 8 = 32 + 8 = 40$ oz.
* Result: 40 oz
*(Note: This first one is already filled in on the worksheet as an example.)*
---
* Reading the dial: The needle points to 3.
* Step 1: Pounds and Ounces
* It is exactly 3 pounds with no extra ounces.
* Result: 3 lb 0 oz
* Step 2: Pounds only
* Result: 3 lb
* Step 3: Ounces only
* $3 \times 16 = 48$ oz.
* Result: 48 oz
---
* Reading the dial: The needle points to 1.
* Step 1: Pounds and Ounces
* It is exactly 1 pound with no extra ounces.
* Result: 1 lb 0 oz
* Step 2: Pounds only
* Result: 1 lb
* Step 3: Ounces only
* $1 \times 16 = 16$ oz.
* Result: 16 oz
---
* Reading the dial: The needle is past 1. It looks like it is pointing at the mark for 1.25 (one-quarter of the way to 2). Let's look closer. The marks between numbers usually represent quarters or halves.
* Between 1 and 2, there are 3 small tick marks. This divides the space into 4 sections. Each section is $0.25$ lb (or 4 oz).
* The needle is on the first small tick mark after 1.
* So, the weight is 1.25 lb.
* Step 1: Pounds and Ounces
* Full pounds: 1 lb
* Remaining: $0.25$ lb. Convert to oz: $0.25 \times 16 = 4$ oz.
* Result: 1 lb 4 oz
* Step 2: Pounds only
* Result: 1.25 lb (or $1 \frac{1}{4}$ lb)
* Step 3: Ounces only
* Total oz: $(1 \times 16) + 4 = 20$ oz.
* Result: 20 oz
---
* Reading the dial: The needle is on the second small tick mark after 1.
* Each small tick is 0.25 lb. Two ticks = $0.50$ lb.
* So, the weight is 1.5 lb.
* Step 1: Pounds and Ounces
* Full pounds: 1 lb
* Remaining: $0.5$ lb. Convert to oz: $0.5 \times 16 = 8$ oz.
* Result: 1 lb 8 oz
* Step 2: Pounds only
* Result: 1.5 lb
* Step 3: Ounces only
* Total oz: $(1 \times 16) + 8 = 24$ oz.
* Result: 24 oz
---
* Reading the dial: The needle is on the third small tick mark after 1.
* Three ticks = $0.75$ lb.
* So, the weight is 1.75 lb.
* Step 1: Pounds and Ounces
* Full pounds: 1 lb
* Remaining: $0.75$ lb. Convert to oz: $0.75 \times 16 = 12$ oz.
* Result: 1 lb 12 oz
* Step 2: Pounds only
* Result: 1.75 lb (or $1 \frac{3}{4}$ lb)
* Step 3: Ounces only
* Total oz: $(1 \times 16) + 12 = 28$ oz.
* Result: 28 oz
---
* Reading the dial: The needle is past 2. It is on the first small tick mark after 2.
* Weight is 2.25 lb.
* Step 1: Pounds and Ounces
* Full pounds: 2 lb
* Remaining: $0.25$ lb = 4 oz.
* Result: 2 lb 4 oz
* Step 2: Pounds only
* Result: 2.25 lb
* Step 3: Ounces only
* Total oz: $(2 \times 16) + 4 = 32 + 4 = 36$ oz.
* Result: 36 oz
---
* Reading the dial: The needle is on the second small tick mark after 2.
* Weight is 2.5 lb.
* Step 1: Pounds and Ounces
* Full pounds: 2 lb
* Remaining: $0.5$ lb = 8 oz.
* Result: 2 lb 8 oz
* Step 2: Pounds only
* Result: 2.5 lb
* Step 3: Ounces only
* Total oz: $(2 \times 16) + 8 = 32 + 8 = 40$ oz.
* Result: 40 oz
---
* Reading the dial: The needle is on the third small tick mark after 2.
* Weight is 2.75 lb.
* Step 1: Pounds and Ounces
* Full pounds: 2 lb
* Remaining: $0.75$ lb = 12 oz.
* Result: 2 lb 12 oz
* Step 2: Pounds only
* Result: 2.75 lb
* Step 3: Ounces only
* Total oz: $(2 \times 16) + 12 = 32 + 12 = 44$ oz.
* Result: 44 oz
──────────────────────────────────────
Final Answer:
Scale 2 (Top Middle):
1) 3 lb 0 oz
2) 3 lb
3) 48 oz
Scale 3 (Top Right):
1) 1 lb 0 oz
2) 1 lb
3) 16 oz
Scale 4 (Middle Left):
1) 1 lb 4 oz
2) 1.25 lb
3) 20 oz
Scale 5 (Middle Center):
1) 1 lb 8 oz
2) 1.5 lb
3) 24 oz
Scale 6 (Middle Right):
1) 1 lb 12 oz
2) 1.75 lb
3) 28 oz
Scale 7 (Bottom Left):
1) 2 lb 4 oz
2) 2.25 lb
3) 36 oz
Scale 8 (Bottom Middle):
1) 2 lb 8 oz
2) 2.5 lb
3) 40 oz
Scale 9 (Bottom Right):
1) 2 lb 12 oz
2) 2.75 lb
3) 44 oz
1. Pounds and ounces (e.g., 2 lb 8 oz)
2. Pounds only (as a decimal or fraction, e.g., 2.5 lb)
3. Ounces only (total ounces, e.g., 40 oz)
Key Conversion Rule:
* 1 pound (lb) = 16 ounces (oz)
Let's go through each scale one by one.
---
Scale 1 (Top Left)
* Reading the dial: The needle points exactly halfway between 2 and 3. So, it is 2.5 pounds.
* Step 1: Pounds and Ounces
* We have 2 full pounds.
* The remaining 0.5 lb needs to be converted to ounces: $0.5 \times 16 = 8$ oz.
* Result: 2 lb 8 oz
* Step 2: Pounds only
* As read from the dial: 2.5 lb
* Step 3: Ounces only
* Convert total pounds to ounces: $2.5 \times 16 = 40$ oz.
* Alternatively: $(2 \times 16) + 8 = 32 + 8 = 40$ oz.
* Result: 40 oz
*(Note: This first one is already filled in on the worksheet as an example.)*
---
Scale 2 (Top Middle)
* Reading the dial: The needle points to 3.
* Step 1: Pounds and Ounces
* It is exactly 3 pounds with no extra ounces.
* Result: 3 lb 0 oz
* Step 2: Pounds only
* Result: 3 lb
* Step 3: Ounces only
* $3 \times 16 = 48$ oz.
* Result: 48 oz
---
Scale 3 (Top Right)
* Reading the dial: The needle points to 1.
* Step 1: Pounds and Ounces
* It is exactly 1 pound with no extra ounces.
* Result: 1 lb 0 oz
* Step 2: Pounds only
* Result: 1 lb
* Step 3: Ounces only
* $1 \times 16 = 16$ oz.
* Result: 16 oz
---
Scale 4 (Middle Left)
* Reading the dial: The needle is past 1. It looks like it is pointing at the mark for 1.25 (one-quarter of the way to 2). Let's look closer. The marks between numbers usually represent quarters or halves.
* Between 1 and 2, there are 3 small tick marks. This divides the space into 4 sections. Each section is $0.25$ lb (or 4 oz).
* The needle is on the first small tick mark after 1.
* So, the weight is 1.25 lb.
* Step 1: Pounds and Ounces
* Full pounds: 1 lb
* Remaining: $0.25$ lb. Convert to oz: $0.25 \times 16 = 4$ oz.
* Result: 1 lb 4 oz
* Step 2: Pounds only
* Result: 1.25 lb (or $1 \frac{1}{4}$ lb)
* Step 3: Ounces only
* Total oz: $(1 \times 16) + 4 = 20$ oz.
* Result: 20 oz
---
Scale 5 (Middle Center)
* Reading the dial: The needle is on the second small tick mark after 1.
* Each small tick is 0.25 lb. Two ticks = $0.50$ lb.
* So, the weight is 1.5 lb.
* Step 1: Pounds and Ounces
* Full pounds: 1 lb
* Remaining: $0.5$ lb. Convert to oz: $0.5 \times 16 = 8$ oz.
* Result: 1 lb 8 oz
* Step 2: Pounds only
* Result: 1.5 lb
* Step 3: Ounces only
* Total oz: $(1 \times 16) + 8 = 24$ oz.
* Result: 24 oz
---
Scale 6 (Middle Right)
* Reading the dial: The needle is on the third small tick mark after 1.
* Three ticks = $0.75$ lb.
* So, the weight is 1.75 lb.
* Step 1: Pounds and Ounces
* Full pounds: 1 lb
* Remaining: $0.75$ lb. Convert to oz: $0.75 \times 16 = 12$ oz.
* Result: 1 lb 12 oz
* Step 2: Pounds only
* Result: 1.75 lb (or $1 \frac{3}{4}$ lb)
* Step 3: Ounces only
* Total oz: $(1 \times 16) + 12 = 28$ oz.
* Result: 28 oz
---
Scale 7 (Bottom Left)
* Reading the dial: The needle is past 2. It is on the first small tick mark after 2.
* Weight is 2.25 lb.
* Step 1: Pounds and Ounces
* Full pounds: 2 lb
* Remaining: $0.25$ lb = 4 oz.
* Result: 2 lb 4 oz
* Step 2: Pounds only
* Result: 2.25 lb
* Step 3: Ounces only
* Total oz: $(2 \times 16) + 4 = 32 + 4 = 36$ oz.
* Result: 36 oz
---
Scale 8 (Bottom Middle)
* Reading the dial: The needle is on the second small tick mark after 2.
* Weight is 2.5 lb.
* Step 1: Pounds and Ounces
* Full pounds: 2 lb
* Remaining: $0.5$ lb = 8 oz.
* Result: 2 lb 8 oz
* Step 2: Pounds only
* Result: 2.5 lb
* Step 3: Ounces only
* Total oz: $(2 \times 16) + 8 = 32 + 8 = 40$ oz.
* Result: 40 oz
---
Scale 9 (Bottom Right)
* Reading the dial: The needle is on the third small tick mark after 2.
* Weight is 2.75 lb.
* Step 1: Pounds and Ounces
* Full pounds: 2 lb
* Remaining: $0.75$ lb = 12 oz.
* Result: 2 lb 12 oz
* Step 2: Pounds only
* Result: 2.75 lb
* Step 3: Ounces only
* Total oz: $(2 \times 16) + 12 = 32 + 12 = 44$ oz.
* Result: 44 oz
──────────────────────────────────────
Final Answer:
Scale 2 (Top Middle):
1) 3 lb 0 oz
2) 3 lb
3) 48 oz
Scale 3 (Top Right):
1) 1 lb 0 oz
2) 1 lb
3) 16 oz
Scale 4 (Middle Left):
1) 1 lb 4 oz
2) 1.25 lb
3) 20 oz
Scale 5 (Middle Center):
1) 1 lb 8 oz
2) 1.5 lb
3) 24 oz
Scale 6 (Middle Right):
1) 1 lb 12 oz
2) 1.75 lb
3) 28 oz
Scale 7 (Bottom Left):
1) 2 lb 4 oz
2) 2.25 lb
3) 36 oz
Scale 8 (Bottom Middle):
1) 2 lb 8 oz
2) 2.5 lb
3) 40 oz
Scale 9 (Bottom Right):
1) 2 lb 12 oz
2) 2.75 lb
3) 44 oz
Parent Tip: Review the logic above to help your child master the concept of reading scales worksheet.