Question

Calculate the value of the following expression by appropriate rounding off the numbers: 0.43 x 0.87
A. 0.31
B. 0.35
C. 0.36
D. 0.38

Answer 1

Hint:Make use of the definition of rounding off and solve this. Rounding off is nothing but making a number simpler but keeping its value close to what it was.

Complete step-by-step answer:
0.43 x 0.87 …..(1)
To round off 0.43 to the nearest tenth, we check the hundredth’s value of 0.43 which is 3, is less than 5.
$\therefore $The tenth value of 0.43 remains 4
By rounding to the nearest tenth, 0.43 = 0.4 ……(2)
Now, to round off 0.87 to the nearest tenth, we check their hundredth’s value which is 7, greater than 5.
The tenth value of 0.87 changed to 9
By rounding to nearest tenth, 0.87 = 0.9 …..(3)
Substitute the values of (2) and (3) in (1), we get
0.4 x 0.9 = 0.36
Hence the correct option is C.

Note: When rounding off the numbers,give importance to the number of digits which are present and also to the digit in the last place which is present and upto which place the digit has to be rounded off.Example: 73 rounded to the nearest ten is 70, because 73 is
closer to 70 than to 80.