Answer :
Sure, let's solve the problem step-by-step:
Step 1: Understanding the Problem
We need to find out how many seconds are there in 1.69 days.
Step 2: Conversion Factors
- 1 day has 24 hours.
- 1 hour has 60 minutes.
- 1 minute has 60 seconds.
By combining these, we get:
[tex]\[ 1 \text{ day} = 24 \times 60 \times 60 \text{ seconds} \][/tex]
[tex]\[ 1 \text{ day} = 86400 \text{ seconds} \][/tex]
Step 3: Calculating the Total Seconds
To find the number of seconds in 1.69 days, we multiply the number of days by the seconds in one day:
[tex]\[ \text{Total seconds} = 1.69 \times 86400 \][/tex]
Step 4: Performing the Multiplication
[tex]\[ \text{Total seconds} = 1.69 \times 86400 = 146016.0 \][/tex]
Step 5: Rounding to the Correct Number of Significant Figures
In the given problem, we need to round the result to the correct number of significant figures. Since 1.69 has 3 significant figures, our result should also have 3 significant figures:
[tex]\[ \text{Total seconds (rounded)} = 146000 \][/tex]
Answer:
There are [tex]\( 1.46 \times 10^5 \)[/tex] seconds in 1.69 days.
Note: [tex]\( 1.46 \times 10^5 \)[/tex] and 146000 are just different ways to write the same number, considering significant figures.
Step 1: Understanding the Problem
We need to find out how many seconds are there in 1.69 days.
Step 2: Conversion Factors
- 1 day has 24 hours.
- 1 hour has 60 minutes.
- 1 minute has 60 seconds.
By combining these, we get:
[tex]\[ 1 \text{ day} = 24 \times 60 \times 60 \text{ seconds} \][/tex]
[tex]\[ 1 \text{ day} = 86400 \text{ seconds} \][/tex]
Step 3: Calculating the Total Seconds
To find the number of seconds in 1.69 days, we multiply the number of days by the seconds in one day:
[tex]\[ \text{Total seconds} = 1.69 \times 86400 \][/tex]
Step 4: Performing the Multiplication
[tex]\[ \text{Total seconds} = 1.69 \times 86400 = 146016.0 \][/tex]
Step 5: Rounding to the Correct Number of Significant Figures
In the given problem, we need to round the result to the correct number of significant figures. Since 1.69 has 3 significant figures, our result should also have 3 significant figures:
[tex]\[ \text{Total seconds (rounded)} = 146000 \][/tex]
Answer:
There are [tex]\( 1.46 \times 10^5 \)[/tex] seconds in 1.69 days.
Note: [tex]\( 1.46 \times 10^5 \)[/tex] and 146000 are just different ways to write the same number, considering significant figures.
