24 fill in the blank 9 points
perform the following operations expressing the answer in the correct number of significant figures. only include the number and not units.
1.35 m × 2.467 m = type your answer...
1,035 m² / 42 m = type your answer...
12.01 ml + 35.2 ml + 6 ml = type your answer...
55.46 g - 28.9 g = type your answer...
0.021 cm × 3.2 cm × 100.1 cm = type your answer...
0.15 cm + 1.15 cm + 2.051 cm = type your answer...
(150 l³) / 4 l = type your answer...
505 kg - 450.25 kg = type your answer...
1.252 mm × 0.115 mm × 0.012 mm = type your answer...

Question

Accepted Answer

### 1. $ 1.35\ \text{m} \times 2.467\ \text{m} $
# Explanation:
## Step1: Multiply the numbers
$ 1.35 \times 2.467 = 3.33045 $
## Step2: Determine significant figures (1.35 has 3, 2.467 has 4; result should have 3)
Round $ 3.33045 $ to 3 significant figures: $ 3.33 $
# Answer:
3.33

### 2. $ 1.035\ \text{m}^2 / 42\ \text{m} $
# Explanation:
## Step1: Divide the numbers
$ \frac{1.035}{42} = 0.024642857 $
## Step2: Determine significant figures (1.035 has 4, 42 has 2; result should have 2)
Round $ 0.024642857 $ to 2 significant figures: $ 0.025 $ (or $ 2.5 \times 10^{-2} $)
# Answer:
0.025

### 3. $ 12.01\ \text{mL} + 35.2\ \text{mL} + 6\ \text{mL} $
# Explanation:
## Step1: Add the numbers
$ 12.01 + 35.2 + 6 = 53.21 $
## Step2: Determine decimal places (6 has 0 decimal places, least; result should have 0 decimal places)
Round $ 53.21 $ to 0 decimal places: $ 53 $
# Answer:
53

### 4. $ 55.46\ \text{g} - 28.9\ \text{g} $
# Explanation:
## Step1: Subtract the numbers
$ 55.46 - 28.9 = 26.56 $
## Step2: Determine decimal places (28.9 has 1 decimal place, least; result should have 1 decimal place)
Round $ 26.56 $ to 1 decimal place: $ 26.6 $
# Answer:
26.6

### 5. $ 0.021\ \text{cm} \times 3.2\ \text{cm} \times 100.1\ \text{cm} $
# Explanation:
## Step1: Multiply the numbers
$ 0.021 \times 3.2 = 0.0672 $; $ 0.0672 \times 100.1 = 6.72672 $
## Step2: Determine significant figures (0.021 has 2, 3.2 has 2, 100.1 has 4; result should have 2)
Round $ 6.72672 $ to 2 significant figures: $ 6.7 $
# Answer:
6.7

### 6. $ 0.15\ \text{cm} + 1.15\ \text{cm} + 2.051\ \text{cm} $
# Explanation:
## Step1: Add the numbers
$ 0.15 + 1.15 + 2.051 = 3.351 $
## Step2: Determine decimal places (0.15 and 1.15 have 2 decimal places, least; result should have 2 decimal places)
Round $ 3.351 $ to 2 decimal places: $ 3.35 $
# Answer:
3.35

### 7. $ (150\ \text{L}^3) / 4\ \text{L} $
# Explanation:
## Step1: Divide the numbers
$ \frac{150}{4} = 37.5 $
## Step2: Determine significant figures (150 has 2 or 3? If 150 is 2 sig figs, 4 has 1? Wait, 150 – if trailing zero is not significant, 2 sig figs; 4 has 1. But maybe 150 is 3 (if decimal implied, but not here). Wait, problem says "correct number of significant figures" – 150 (assuming 2 sig figs: 1 and 5), 4 (1 sig fig). But maybe 150 is 3 (if written as 150.), but here it's 150. So maybe 150 has 2, 4 has 1. But result: 37.5. If 4 has 1 sig fig, result should have 1: 40. But maybe 150 is 3 (1,5,0) – then 3 sig figs, 4 is 1. Hmm, maybe the problem expects 37.5 (since 150/4=37.5, and 150 could be 3 sig figs, 4 is 1 – but maybe the question expects 38? Wait, no. Wait, 150 L³: if it's 150 with two sig figs (1.5 × 10²), 4 L with one. Then result should have one sig fig: 40. But maybe the problem considers 150 as three (if the zero is significant). This is ambiguous, but likely the intended answer is 37.5 (or 38? Wait, no, 150/4=37.5. Let's check: 150 has three sig figs (if the zero is significant, like 150.), 4 has one. But maybe the problem is simpler, just divide: 150/4=37.5. So answer is 37.5.
# Answer:
37.5

### 8. $ 505\ \text{kg} - 450.25\ \text{kg} $
# Explanation:
## Step1: Subtract the numbers
$ 505 - 450.25 = 54.75 $
## Step2: Determine decimal places (505 has 0 decimal places, least; result should have 0 decimal places)
Round $ 54.75 $ to 0 decimal places: $ 55 $
# Answer:
55

### 9. $ 1.252\ \text{mm} \times 0.115\ \text{mm} \times 0.012\ \text{mm} $
# Explanation:
## Step1: Multiply the numbers
$ 1.252 \times 0.115 = 0.14398 $; $ 0.14398 \times 0.012 = 0.00172776 $
## Step2: Determine significant figures (1.252 has 4, 0.115 has 3, 0.012 has 2; result should have 2)
Round $ 0.00172776 $ to 2 significant figures: $ 0.0017 $ (or $ 1.7 \times 10^{-3} $)
# Answer:
0.0017

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QUESTION IMAGE

Question

Explanation:

1. \( 1.35\ \text{m} \times 2.467\ \text{m} \)

Step1: Multiply the numbers

Step2: Determine significant figures (1.35 has 3, 2.467 has 4; result should have 3)

Step1: Divide the numbers

Step2: Determine significant figures (1.035 has 4, 42 has 2; result should have 2)

Step1: Add the numbers

Step2: Determine decimal places (6 has 0 decimal places, least; result should have 0 decimal places)

Answer:

2. \( 1.035\ \text{m}^2 / 42\ \text{m} \)