Problem: Word Problems with Decimals
We will solve each problem step by step, showing all the work and providing explanations.
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1) Luanne had $2.67 for lunch money. If she spent $1.49 at recess, how much does she have left for lunchtime?
Solution:
- Initial amount of money: $2.67
- Amount spent at recess: $1.49
- Money left = Initial amount - Amount spent
\[
2.67 - 1.49 = 1.18
\]
Answer: Luanne has
$1.18 left for lunchtime.
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2) Johanna has a very accurate scale. Last month, she weighed 133.46 lbs. This month, she weighs 117.67 lbs. How much did she lose?
Solution:
- Weight last month: 133.46 lbs
- Weight this month: 117.67 lbs
- Weight lost = Weight last month - Weight this month
\[
133.46 - 117.67 = 15.79
\]
Answer: Johanna lost
15.79 lbs.
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3) Cathy’s food usually costs $212.90 a week. One week, it cost $198.98. How much less money did she spend that week?
Solution:
- Usual weekly cost: $212.90
- Cost for that week: $198.98
- Difference in spending = Usual cost - Cost for that week
\[
212.90 - 198.98 = 13.92
\]
Answer: Cathy spent
$13.92 less that week.
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4) Penny used to drive 3.36 miles to school. Then, she moved 1.29 miles closer to school. How far does Penny have to drive to school now?
Solution:
- Original distance to school: 3.36 miles
- Distance moved closer: 1.29 miles
- New distance to school = Original distance - Distance moved closer
\[
3.36 - 1.29 = 2.07
\]
Answer: Penny now has to drive
2.07 miles to school.
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5) Jonathon’s dog is 4.54 years old. His cat is 3.68 years old. How much older is his dog than his cat?
Solution:
- Age of the dog: 4.54 years
- Age of the cat: 3.68 years
- Difference in age = Age of the dog - Age of the cat
\[
4.54 - 3.68 = 0.86
\]
Answer: Jonathon’s dog is
0.86 years older than his cat.
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6) The dining table is 6.85 feet long. It can be extended when necessary. When it extends just a little, it is 8.36 feet long. How much does it extend?
Solution:
- Original length of the table: 6.85 feet
- Extended length of the table: 8.36 feet
- Extension length = Extended length - Original length
\[
8.36 - 6.85 = 1.51
\]
Answer: The dining table extends
1.51 feet.
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Final Answers:
1.
$1.18
2.
15.79 lbs
3.
$13.92
4.
2.07 miles
5.
0.86 years
6.
1.51 feet
Boxed Final Answer:
\[
\boxed{1.18, 15.79, 13.92, 2.07, 0.86, 1.51}
\]
Parent Tip: Review the logic above to help your child master the concept of decimals word problems worksheet.
