how do i
round each of the folllowing to one significant figure and then 'name' that number:
2^200
20^20
please help and thank u so much if u do!
my calculator says
1.6069...x10^60
= 2.0 x 10^60 rounded to one significant digit,
I would name that number as "big"
do 20^20 on your calculator
To round each of the following numbers to one significant figure, you need to identify the first non-zero digit, which becomes the significant figure, and then determine whether to round up or down based on the next digit.
Let's solve the first question: 2^200.
Step 1: Calculate 2^200.
Using a calculator or a math library, calculate 2^200, which is approximately 1.606938e+60.
Step 2: Identify the first non-zero digit.
Here, the first non-zero digit is "1," which will be the significant figure.
Step 3: Determine rounding.
The next digit after "1" is "6," and since it is greater than or equal to 5, you need to round up. Therefore, we round the number up to:
Answer 1: The number rounded to one significant figure is "2 x 10^60" (or 2 with sixty zeros).
Now, let's move on to the second question: 20^20.
Step 1: Calculate 20^20.
Using a calculator or a math library, calculate 20^20, which is approximately 1.048576e+26.
Step 2: Identify the first non-zero digit.
Here, the first non-zero digit is "1," which becomes the significant figure.
Step 3: Determine rounding.
The next digit after "1" is "0," which means there is no need to round.
Answer 2: The number rounded to one significant figure is "1 x 10^26" (or 1 with twenty-six zeros).
In summary:
- The rounded number for 2^200 is "2 x 10^60".
- The rounded number for 20^20 is "1 x 10^26".