Question

what is 61.2^2 to 1 significant figure? It's urgent!!

Answer 1

61.2^2 to 1 significant figure is 4000

Solution:

Given that $61.2^2$ to 1 significant figure

Let us first calculate $61.2^2$

$\rightarrow 61.2^2 = 61.2 \times 61.2 = 3745.44$

Now we have to round 3745.44 to one significant figure

To round a significant figure, following steps are to be remembered:

1.  look at the first non-zero digit if rounding to one significant figure

2. look at the digit after the first non-zero digit if rounding to two significant figures

3. draw a vertical line after the place value digit that is required and look at the next digit

4. If it's 5 or more, increase the previous digit by one

5. If it's 4 or less, keep the previous digit the same

6. Fill any spaces to the right of the line with zeros, stopping at the decimal point if there is one

Round 3745.44 to one significant figure:

3745.44 = 3 l 745.44 to one significant figure is 4000

[ here digit after vertical line is 7 which is greater than 5 so increase the previous digit by one  and fill the spaces to the right of the line with zeros ]

So 61.2^2 to 1 significant figure is 4000