Question

question 28
1g = ------ lbs (4 decimals spots)

Explanation:

Step1: Recall conversion factor

We know that 1 gram (g) is equal to 0.00220462 pounds (lbs).

Step2: Round to 4 decimals

Rounding 0.00220462 to four decimal places, we look at the fifth decimal digit (4). Since 4 < 5, we keep the fourth decimal digit as is. So, 0.0022 (when rounded to four decimal places? Wait, no: 0.00220462. The first decimal: 0, second: 0, third: 2, fourth: 2, fifth: 0, sixth: 4, seventh: 6, eighth: 2. Wait, maybe I made a mistake. Let's do it properly. The value of 1 g in lbs is approximately 0.00220462262185 lbs. To round to four decimal places, we look at the fifth decimal digit. The number is 0.00220462... So the first decimal: 0 (tenths), second: 0 (hundredths), third: 2 (thousandths), fourth: 2 (ten - thousandths), fifth: 0 (hundred - thousandths). Wait, no, the decimal places are counted as follows: 0.00220462. Let's write it as 0.0022 (four decimal places? Wait, 0.0022 is four decimal places? Wait, 0.0022: the first decimal is 0 (after decimal), second 0, third 2, fourth 2. But the actual conversion is 1 g = 0.00220462 lbs (approx). So when we round to four decimal places, we take the number up to the fourth decimal. The number is 0.00220462. The fourth decimal is 2, the next digit (fifth) is 0, which is less than 5, so we keep the fourth decimal as 2. Wait, no, maybe I messed up the decimal places. Let's do it step by step. 1 g = 0.00220462262185 lb. To round to four decimal places:

- First decimal place (tenths): 0
- Second decimal place (hundredths): 0
- Third decimal place (thousandths): 2
- Fourth decimal place (ten - thousandths): 2
- Fifth decimal place (hundred - thousandths): 0

Since the fifth decimal place is 0, which is less than 5, we don't round up the fourth decimal place. So 1 g ≈ 0.0022 lbs when rounded to four decimal places? Wait, no, wait 0.00220462. Let's count the decimal places correctly. The number is 0.00220462. So:

- Position 1 (after decimal): 0 (tenths)
- Position 2: 0 (hundredths)
- Position 3: 2 (thousandths)
- Position 4: 2 (ten - thousandths)
- Position 5: 0 (hundred - thousandths)
- Position 6: 4 (millionths)
- Position 7: 6 (ten - millionths)
- Position 8: 2 (hundred - millionths)

So when rounding to four decimal places, we look at the digit in the fifth position (position 5) to decide. Since position 5 is 0, which is less than 5, we round down. So the value is 0.0022 (four decimal places). But wait, some sources say 1 g = 0.002205 lbs (rounded to four decimal places? No, 0.002205 would be five decimal places). Wait, maybe I made a mistake in the conversion factor. Let's confirm: 1 pound = 453.59237 grams. So 1 gram = 1 / 453.59237 pounds. Let's calculate 1 / 453.59237. 453.59237 × 0.002 = 0.90718474, 453.59237 × 0.0022 = 453.59237×0.002 + 453.59237×0.0002 = 0.90718474+0.090718474 = 0.997903214, which is close to 1. Wait, no, 1 / 453.59237 ≈ 0.00220462262185. So that's correct. So 1 g ≈ 0.00220462 lbs. To round to four decimal places, we have:

The number is 0.00220462. The first decimal: 0, second: 0, third: 2, fourth: 2, fifth: 0. So we round to four decimal places, so it's 0.0022? Wait, no, 0.0022 is four decimal places? Wait, 0.0022: the decimal places are 0 (1st), 0 (2nd), 2 (3rd), 2 (4th). But the actual value is 0.00220462, so when we round to four decimal places, we look at the fifth decimal digit, which is 0. Since 0 < 5, we keep the fourth decimal digit as it is. So 0.0022 (four decimal places). Wait, but maybe the question expects the more accurate rounding. Wait, 0.00220462 rounded to four decimal places: let's write the number as 0.00220462. The fourth decimal is 2 (ten - thousandths place), the next digit (hundred - thousandths place) is 0. So we don't round up. So 0.0022. But wait, some people might consider 0.0022 as four decimal places, but actually, 0.0022 has four decimal digits: 0,0,2,2.

Answer:

0.0022