Questionc) Round the following number to the given significant figures 44.27453 i. 3 significant figures. ii. 4 significant figures
Studdy Solution
STEP 1
1. Rounding involves reducing the number of digits in a number while maintaining its value as close as possible to the original number.
2. Significant figures are the digits that carry meaningful contributions to the number's precision.
3. When rounding, if the digit immediately after the last significant figure is 5 or more, we round up the last significant figure by one. Otherwise, we leave it as is.
STEP 2
1. Identify the relevant digits and round 44.27453 to 3 significant figures.
2. Identify the relevant digits and round 44.27453 to 4 significant figures.
STEP 3
Identify the first three significant figures of the number 44.27453. These are the digits 4, 4, and 2.
STEP 4
Look at the digit immediately after the third significant figure. In this case, it is 7.
STEP 5
Since 7 is greater than 5, round up the third significant figure (2) by one.
STEP 6
The number 44.27453 rounded to 3 significant figures is 44.3.
STEP 7
Identify the first four significant figures of the number 44.27453. These are the digits 4, 4, 2, and 7.
STEP 8
Look at the digit immediately after the fourth significant figure. In this case, it is 4.
STEP 9
Since 4 is less than 5, leave the fourth significant figure as it is.
STEP 10
The number 44.27453 rounded to 4 significant figures is 44.27.
Solution:
i. 44.3
ii. 44.27
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