Daily Math Review Worksheets - Math Buzz (Level E) - Free Printable

Let's solve each part of the worksheet step by step.

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1. Which comparison is true?

We are given two fractions to compare:

- A) $ \frac{2}{3} < \frac{4}{3} $
- B) $ \frac{4}{3} < \frac{2}{3} $

Step-by-step:

- Both fractions have the same denominator (3), so we can compare numerators directly.
- $ \frac{2}{3} $ means 2 parts out of 3.
- $ \frac{4}{3} $ means 4 parts out of 3, which is more than one whole (since 3/3 = 1).
- So, $ \frac{2}{3} < \frac{4}{3} $ is true.
- The second option ($ \frac{4}{3} < \frac{2}{3} $) is false.

✔ Answer: $ \frac{2}{3} < \frac{4}{3} $ is true.

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2. Find the products:

We need to multiply 55 by powers of 10.

- $ 55 \times 10 = 550 $
- $ 55 \times 100 = 5,500 $
- $ 55 \times 1,000 = 55,000 $

✔ Answers:
- $ 55 \times 10 = 550 $
- $ 55 \times 100 = 5,500 $
- $ 55 \times 1,000 = 55,000 $

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3. Is the number a factor of 36? Write yes or no.

We are given numbers:
9, 18, 13, 16, 12, 8

We need to check if each divides 36 evenly (i.e., remainder is 0).

Let’s test each:

- 9: $ 36 ÷ 9 = 4 $ → Yes
- 18: $ 36 ÷ 18 = 2 $ → Yes
- 13: $ 36 ÷ 13 ≈ 2.77 $ → No (not divisible)
- 16: $ 36 ÷ 16 = 2.25 $ → No
- 12: $ 36 ÷ 12 = 3 $ → Yes
- 8: $ 36 ÷ 8 = 4.5 $ → No

✔ Answers:
- 9 → Yes
- 18 → Yes
- 13 → No
- 16 → No
- 12 → Yes
- 8 → No

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4. National Parks Table

| National Park | Acres |
|----------------------|-------------|
| Saguaro | 91,715 |
| Great Basin | 77,180 |
| Mesa Verde | 52,985 |
| Bryce Canyon | 35,835 |

#### Question 1: About how much larger is Saguaro National Park than Bryce Canyon? Estimate by rounding each number to the nearest thousand.

Step 1: Round each number to the nearest thousand

- Saguaro: 91,715 → 92,000
- Bryce Canyon: 35,835 → 36,000

Step 2: Subtract

$ 92,000 - 36,000 = 56,000 $

✔ Estimated difference: 56,000 acres

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#### Question 2: Exactly how many more acres is Saguaro National Park than Bryce Canyon?

$ 91,715 - 35,835 = ? $

Let’s compute:

```
91,715
- 35,835
---------
55,880
```

✔ Exact difference: 55,880 acres

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#### Question 3: Is your answer reasonable? Explain.

Yes, the answer is reasonable.

- Our estimate was 56,000, and the exact answer is 55,880.
- These are very close — only 120 acres apart.
- Rounding to the nearest thousand gives a good approximation.
- So, the estimate supports the exact answer.

✔ Explanation: Yes, because the estimate (56,000) is very close to the actual difference (55,880), which shows the calculation is accurate.

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✔ Final Answers Summary:

1. True comparison: $ \frac{2}{3} < \frac{4}{3} $
2. Products:
- $ 55 \times 10 = 550 $
- $ 55 \times 100 = 5,500 $
- $ 55 \times 1,000 = 55,000 $
3. Factors of 36:
- 9 → Yes
- 18 → Yes
- 13 → No
- 16 → No
- 12 → Yes
- 8 → No
4. National Parks:
- Estimated difference: 56,000 acres
- Exact difference: 55,880 acres
- Reasonable? Yes, because the estimate is very close to the actual value.

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