Question

Evaluate(25.2 xx 1374)/(33.3). All the digits in this expression are significant.

Answer 1

The answer is 1040.

$\frac{25.2 x 1374}{33.3} = 1039.78378$

• If we take significant digits into consideration :

1.    25.2 has 3 significant digits
2.    1374 has 4 significant digits.
3.    33.3 has 3 significant digits.

• Hence, the answer should have the minimum from the above i.e. 3 significant digits.
• We round off 1039.78378 to 3 significant digits.

1. 1039.7838
2. 1039.784
3. 1039.78
4. 1039.8
5. 1040

• Hence, 1040 has 3 significant digits and it is the answer.

Answer 2

TO FIND :

(25.2 x 1374)/33.3

SOLUTION :

◆(25.2 x 1374)/33.3

=34,624.8 / 33.3

= 1,039.7837837837..

◆ Rounding off recurring numbers,

= 1,039.7837

◆Considering significant digits of each number,

◆25.2 - 3 significant digits

1374 - 4 significant digits.

33.3 - 3 significant digits.

◆Hence, answer should have than 3 significant digits in minimum.

◆We round off 1039.78378 to 3 significant digits,

1039.7838

1039.784

1039.78

1039.8

1040

◆Hence, 1040 has 3 significant digits , since zeroes after first non zero digit first count as significant digit.

ANSWER

(25.2 x 1374)/33.3 = 1040.