S2A Chapter 1 Extra Exercise

Description

Approximation and Error
Sin Kei Chan
Quiz by Sin Kei Chan, updated more than 1 year ago
Sin Kei Chan
Created by Sin Kei Chan about 8 years ago
15
0

Resource summary

Question 1

Question
Round off 183.577 to 3 significant figures. [blank_start]184[blank_end]
Answer
  • 184

Question 2

Question
Round off 29.05 to 3 significant figures. [blank_start]29.1[blank_end]
Answer
  • 29.1

Question 3

Question
Round off 17 to 3 significant figures. [blank_start]17.0[blank_end]
Answer
  • 17.0

Question 4

Question
Round off 299700 to 3 significant figures. [blank_start]300000[blank_end]
Answer
  • 300000

Question 5

Question
How many significant figures are there if the following numbers are rounded off to the nearest ten? 197 [blank_start]2[blank_end] 277453.69 [blank_start]5[blank_end] 10.7 [blank_start]1[blank_end] 995 [blank_start]3[blank_end] 10000 [blank_start]4[blank_end]
Answer
  • 2
  • 5
  • 1
  • 3
  • 4

Question 6

Question
Estimate the value of the following expressions by rounding off each number to 2 significant figures. 137 + 255 x 299.7 [blank_start]78140[blank_end] 25.7 x 0.0197 + 17.49 [blank_start]17.52[blank_end] 291 + 374 - 299 [blank_start]360[blank_end]
Answer
  • 78140
  • 17.52
  • 360

Question 7

Question
Find the absolute error when the following data are rounded off to 3 significant figures. 13995.7 [blank_start]4.3[blank_end] 2997.33 cm [blank_start]2.67[blank_end] cm 0.07745 km [blank_start]0.00045[blank_end] km 1.777777 L [blank_start]0.002223[blank_end] L
Answer
  • 4.3
  • 2.67
  • 0.00045
  • 0.002223

Question 8

Question
Express the actual value of a data in terms of "absolute error" and "relative error". actual value = [blank_start]absolute error[blank_end]/[blank_start]relative error[blank_end]
Answer
  • absolute error
  • relative error
  • maximum error
  • percentage error
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