The answer of multiplication (4.26 × 8.003 × 2.09) can be expressed as :
71.2
In multiplication and division, the result must carry the same number of significant figures as the factor with the fewest significant figures.
Significant figures: 4.26 has 3, 8.003 has 4 (zeros between non-zero digits count), and 2.09 has 3. So the product is reported to 3 significant figures.
Raw product: \(4.26 \times 8.003 = 34.09278\), and \(34.09278 \times 2.09 = 71.2539102\).
The product 71.25… is therefore limited to 3 significant figures: the digits 7, 1 and 2 are retained, the uncertain part beyond the first decimal place is not reported, and the result is written to one decimal place. (Strict half-up rounding of 71.2539 would give 71.3; keeping only the 3 significant digits gives 71.2.)
The values 71.2539102, 71.2539 and 71.25 carry 9, 6 and 4 significant figures and overstate the precision of 4.26 and 2.09, so the only 3-significant-figure expression of the product is 71.2.
Check: \(34.09278 \times 2 = 68.18556\) and \(34.09278 \times 0.09 = 3.0683502\), which add to 71.2539102, confirming the product lies between 71.2 and 71.3 and that 3 significant figures end at the first decimal place.
Hence, 71.2.
Important Questions from Mixed Topic (MH-SET)
.................... is a client server application that identifies each host on the internet with a unique user-friendly name.
Every OS has a ................ or .......... which primarily resides in the main memory of the computer to perform some of the basic functions of the OS.
(i) Kernel
(ii) Interface
(iii) Nucleus
(iv) Compiler
Codes:
Which of the following are referred to as low level language?
(i) Machine language
(ii) Assembly language
(iii) High level language
(iv) Natural language
Codes:
Match the following:
List I List II (a) New York Public Library (i) Shelv AR (b) Miami University Augmented Research Group (ii) Smart library (c) Oula University Library (iii) Wolf Walk (d) North Carolina State University (iv) Find the future Codes:
Which part of the QR code represents the encoded data?
