Math Problem Statement
Solution
Let’s solve each question from the uploaded image step by step.
1. A bottle of eye drops has 0.45 fluid ounces of liquid. How much liquid is in bottles of eye drops?
Each bottle has 0.45 fluid ounces. If there are bottles, the total liquid is:
Answer: 4,500 fluid ounces
2. Jamal buys 33 bolts that cost $0.38 each.
a. Which equation represents the best estimate for the total cost of all the bolts?
- , .
Thus, the best estimate for the total cost is:
Answer: Option B ($0.40 \times 30 = 12$)
b. What is the ACTUAL total cost of all the bolts?
The exact cost is:
Answer: $12.54
3. Which expression shows the area of the shaded part of the grid?
The grid shows small squares shaded. The grid size is , meaning the area of each small square is . Thus, the shaded area is:
Answer: Option A (0.04 × 0.07)
4. Match the expressions to their products
Answers:
5. Choose all the expressions equal to :
Converting and to fractions:
Thus:
Valid expressions are:
- .
Answers: Options A, B, C, and E.
6. Emily bought seashells for $0.75 each.
Emily bought 10 seashells, and her friend bought 100. Total cost:
- Emily: .
- Friend: .
Total spent: .
Answer: $82.50
Questions for further exploration:
- How would the answer to Question 1 change if the liquid amount was fluid ounces per bottle?
- What is the cost of 50 bolts at $0.38 each?
- What happens to the shaded area calculation if the grid size changes?
- What is the sum of the products in Question 4?
- How much would Emily and her friend spend if seashells cost $1.00 each instead?
Tip:
To estimate accurately, round numbers based on their magnitude and keep calculations simple!
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Math Problem Analysis
Mathematical Concepts
Multiplication of decimals
Estimation and rounding
Area calculation
Matching expressions to values
Fraction multiplication
Formulas
Area = length × width
Multiplication of fractions: a/b × c/d = (a×c)/(b×d)
Theorems
-
Suitable Grade Level
Grades 5-7
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