Let's solve each question step by step and explain the reasoning.
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1. A bottle of ketchup holds 0.946 liters. Which of the options in milliliter is equivalent to 0.946L?
We know:
- 1 liter = 1000 milliliters
So:
$$
0.946 \text{ L} = 0.946 \times 1000 = 946 \text{ mL}
$$
✔ Answer: C) 946
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2. The thickness of the leg of an ant is 0.035 centimeters. How many millimeter is this?
We know:
- 1 centimeter = 10 millimeters
So:
$$
0.035 \text{ cm} = 0.035 \times 10 = 0.35 \text{ mm}
$$
✔ Answer: C) 0.35
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3. Which of the following is equivalent to 23 kg?
We know:
- 1 kg = 1000 grams
So:
$$
23 \text{ kg} = 23 \times 1000 = 23,000 \text{ g}
$$
✔ Answer: C) 23,000 g
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4. Which is the best example of a number written in scientific notation?
Scientific notation format:
a × 10ⁿ, where
1 ≤ a < 10 and
n is an integer.
Let’s check each:
- A) $ 5.367 \times 10^{-3} $ →
✔ Yes! (5.367 is between 1 and 10)
- B) $ 0.5 \times 10^5 $ →
✘ No! (0.5 < 1)
- C) $ 0.1254 $ →
✘ Not in scientific notation (no power of 10)
- D) $ 12.5 \times 10^2 $ →
✘ No! (12.5 > 10)
✔ Answer: A) 5.367 × 10⁻³
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5. Which of the following is the correct scientific notation for 0.000058?
We move the decimal point so that there's only one non-zero digit to the left.
$$
0.000058 = 5.8 \times 10^{-5}
$$
(We moved the decimal 5 places to the right.)
Check:
- A) $ 5.8 \times 10^{-6} $ → Too small (0.0000058)
- B) $ 5.8 \times 10^{6} $ → Too big
- C) $ 5.8 \times 10^{5} $ → Way too big
- D) $ 5.8 \times 10^{-5} $ →
✔ Correct
✔ Answer: D) 5.8 × 10⁻⁵
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6. A student averaged 45 km per hour on a trip. What was the student’s speed in meter per second?
We convert km/h to m/s:
We know:
- 1 km = 1000 meters
- 1 hour = 3600 seconds
So:
$$
45 \text{ km/h} = \frac{45 \times 1000}{3600} = \frac{45000}{3600} = 12.5 \text{ m/s}
$$
✔ Answer: C) 12.5
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✔ Final Answers:
1.
C) 946
2.
C) 0.35
3.
C) 23,000 g
4.
A) 5.367 × 10⁻³
5.
D) 5.8 × 10⁻⁵
6.
C) 12.5
Let me know if you'd like help with the remaining questions (7–10)!
Parent Tip: Review the logic above to help your child master the concept of science work sheets for 7th graders.