Let's work through each question step by step:
1. Which expression is equivalent to 0.8 x 0.6?
To express 0.8 and 0.6 in terms of fractions or integers:
- 0.8 = 8/10
- 0.6 = 6/10
Thus, we can write: \[ 0.8 \times 0.6 = \left(\frac{8}{10}\right) \times \left(\frac{6}{10}\right) = \frac{8 \times 6}{10 \times 10} = \frac{48}{100} = 0.48 \]
From the options provided:
- [8 x 1/10] x [6 x 1/10] represents \(0.8 \times 0.6\) accurately.
Answer: [8 x 1/10] x [6 x 1/10]
2. How much will the carpeting cost?
Cost per square foot = $3.28
Area of the room = 96 square feet
Total Cost = Cost per square foot × Area \[ 3.28 , \text{dollars/sq ft} \times 96 , \text{sq ft} = 313.68 , \text{dollars} \]
Answer: $313.68
3. How many pounds would 2.5 bags weigh?
Weight of one bag = 28.25 pounds
Weight of 2.5 bags = 28.25 pounds × 2.5
\[
28.25 \times 2.5 = 70.625 , \text{pounds}
\]
Answer: 70.625 pounds
4. What is the total amount Ethan spent on his lunches?
Let's add the amounts for each day:
- Monday: $5.25
- Tuesday: $6.48
- Wednesday: $4.95
- Thursday: $7.22
- Friday: $5.96
Total = $5.25 + $6.48 + $4.95 + $7.22 + $5.96
\[
= 30.86 , \text{dollars}
\]
Answer: $30.86
5. Will the actual product of 15.6 x 2.8 be greater or less than 16 x 3?
Let's calculate each product:
- Estimate 15.6 × 2.8:
Estimate: \(16 \times 3 = 48\)
Now, calculate exactly: \[ 15.6 \times 2.8 = 43.68 \]
Since \(15.6 < 16\) and \(2.8 < 3\), it follows that:
- \(15.6 \times 2.8\) should indeed be less than \(16 \times 3\).
Answer: The actual product of 15.6 x 2.8 will be less than 16 x 3.
Feel free to reach out if you have more questions or need additional assistance!
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