Here are the step-by-step solutions for each problem on the worksheet.
1. Profile Picture Size
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Goal: Find out how much to resize the width.
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Given: Allowed width is 400 pixels. User's photo width is 800 pixels.
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Calculation: Subtract the allowed size from the user's size: $800 - 400 = 400$.
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Result: The user needs to reduce the width by 400 pixels.
2. Video Length
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Goal: Convert time into seconds.
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Given: 2 minutes and 45 seconds.
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Logic: There are 60 seconds in 1 minute.
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Calculation:
* Convert minutes: $2 \times 60 = 120$ seconds.
* Add the remaining seconds: $120 + 45 = 165$ seconds.
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Result: 165 seconds.
3. Hashtag Usage
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Goal: Estimate total hashtags.
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Given: 35 posts, average of 4 hashtags per post.
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Calculation: Multiply the number of posts by the average hashtags: $35 \times 4$.
* $30 \times 4 = 120$
* $5 \times 4 = 20$
* $120 + 20 = 140$
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Result: 140 hashtags.
4. Followers Increase
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Goal: Find the new follower count after a 10% increase.
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Given: Started with 2,500 followers. Increased by 10%.
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Calculation:
* Find 10% of 2,500: $2,500 \times 0.10 = 250$.
* Add the increase to the original amount: $2,500 + 250 = 2,750$.
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Result: 2,750 followers.
5. Social Media Posts
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Goal: Find the total posts for the week.
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Given: Posted 8 times per day for a week.
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Logic: A week has 7 days.
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Calculation: $8 \text{ posts/day} \times 7 \text{ days} = 56$ posts.
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Result: 56 posts.
6. Photo Resolution
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Goal: Find the new resolution after resizing to one-fourth ($1/4$) of the original.
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Given: Original is 1920 pixels by 1080 pixels.
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Calculation: Divide both numbers by 4.
* Width: $1920 / 4 = 480$.
* Height: $1080 / 4 = 270$.
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Result: 480 pixels by 270 pixels.
7. Reaction Counts
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Goal: Estimate total reactions (likes + comments + shares).
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Given: 1,250 likes, 780 comments, 420 shares.
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Calculation: Add them all together.
* $1,250 + 780 = 2,030$
* $2,030 + 420 = 2,450$
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Result: 2,450 reactions.
8. Video Views
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Goal: Find the total number of followers.
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Given: 1,800 views represents 60% of the followers.
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Logic: If 60% is 1,800, we first find what 1% is, then multiply by 100 to get the total.
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Calculation:
* $1,800 / 60 = 30$ (This is 1%).
* $30 \times 100 = 3,000$ (This is 100%).
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Result: 3,000 followers.
9. Photo Storage
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Goal: Calculate total storage space needed.
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Given: 5,000 photos, each is 3 megabytes (MB).
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Calculation: $5,000 \times 3 = 15,000$ MB.
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Result: 15,000 MB (or 15 GB).
10. Emoji Usage
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Goal: Estimate total emojis used.
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Given: 25 messages, average of 3 emojis per message.
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Calculation: $25 \times 3 = 75$.
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Result: 75 emojis.
──────────────────────────────────────
Final Answer:
1. 400 pixels
2. 165 seconds
3. 140 hashtags
4. 2,750 followers
5. 56 posts
6. 480 pixels by 270 pixels
7. 2,450 reactions
8. 3,000 followers
9. 15,000 MB
10. 75 emojis
Parent Tip: Review the logic above to help your child master the concept of measurement word problem worksheet.
