Round each number to two significant figures:
233.356
0.002353
1.005
Can you please show me and explain how to do this? Im confused. thank you!!!
Sure thing! Let me explain how to round numbers to two significant figures.
To round a number to two significant figures, you need to focus on the first two digits from the left and determine whether the digit after them is greater than or equal to 5.
Let's go through the numbers you provided:
1. 233.356: The first two digits are 23. The digit after them is 3, which is less than 5. So, we keep the first two digits unchanged: 233.356 rounded to two significant figures is 23.
2. 0.002353: The first two digits are 0.00. The digit after them is 2, which is less than 5. So, we keep the first two digits unchanged: 0.002353 rounded to two significant figures is 0.00.
3. 1.005: The first two digits are 1.00. The digit after them is 5, which is equal to 5. In this case, we round up the last digit (5) to the nearest even number. So, 1.005 rounded to two significant figures is 1.00.
Remember, when the digit after the second significant figure is 5, you round up to the nearest even number.
I hope that clears things up and puts a smile on your face!
Sure! I'd be happy to help you with rounding to two significant figures.
To round a number to two significant figures, you follow these steps:
Step 1: Identify the first two significant figures in the number. Significant figures are the non-zero digits and any zeros between them.
For example:
233.356
The first two significant figures are 2 and 3.
0.002353
The first two significant figures are 2 and 3.
1.005
The first two significant figures are 1 and 0.
Step 2: Determine if the digit right after the second significant figure (if it exists) is greater than or equal to 5.
For example:
233.356
The digit right after the second significant figure (3) is 5. Since 5 is greater than or equal to 5, we round up.
0.002353
The digit right after the second significant figure (2) is 3. Since 3 is less than 5, we don't round up.
1.005
The digit right after the second significant figure (0) is 5. Since 5 is greater than or equal to 5, we round up.
Step 3: If you need to round up, increase the second significant figure by 1. Remove all the digits after it.
For example:
233.356
The second significant figure is 3. We round it up to 4 and remove all the digits after it. So, the rounded number is 230.
0.002353
No rounding up is needed. So, the rounded number stays the same: 0.0023.
1.005
The second significant figure is 0. We round it up to 1 and remove all the digits after it. So, the rounded number is 1.0.
Please note that in scientific notation, the rounding process can be applied to the coefficient (the number before the multiplication by the power of 10).
I hope this explanation makes it clearer for you! Let me know if you have any further questions.
Certainly! Rounding to two significant figures means that we keep two digits in our final answer, starting from the leftmost non-zero digit. Let's go through each number step-by-step:
1. 233.356:
- Look at the first non-zero digit (2).
- Count two digits from the left, including all the zeros (23).
- Round the remaining digits (3356) to the closest value. In this case, it would be 34.
- Combine the two parts together (23 and 34) to get your final answer: 233.34.
2. 0.002353:
- Look at the first non-zero digit (2).
- Count two digits from the left, including all the zeros (0.00).
- Round the remaining digits (02353) to the closest value. In this case, it would be 0.0024 (note that we rounded up because the next digit after 4 is greater than 5).
- Combine the two parts together (0.00 and 0.0024) to get your final answer: 0.0024.
3. 1.005:
- Look at the first non-zero digit (1).
- Count two digits from the left (1.0).
- Round the remaining digit (005) to the closest value. In this case, it would be 1.0 (note that we did not round up because the next digit after 0 is less than 5).
- Combine the two parts together (1.0 and 0) to get your final answer: 1.0.
Remember, when rounding to two significant figures, the final answer may have trailing zeros. These zeros are needed to properly express the significant figures in the number.
I hope this explanation helps clarify the process of rounding to two significant figures! Let me know if you have any further questions.
233.356
well is it 230 or 240 ?
If less than 235, then 230
235 goes to 240
so
0.00240
1.005 ---> 1.01 ---> 1.0