To round off the number to the significant figures, we follow the steps given below.
To round off the number to the significant figures, we follow the steps given below.
Round off to one significant figure:
Problem 1 :
69
Solution:
69
In 69, the digit after the one significant figure is 9.
9 ≥ 5
So, 69 to one significant figures = 70.
Problem 2 :
197
Solution:
197
In 197, the digit after the one significant figure is 9.
9 ≥ 5
So, 197 to one significant figures = 200.
Problem 3 :
293
Solution:
293
In 293, the digit after the one significant figure is 9.
9 ≥ 5
So, 293 to one significant figures = 300.
Problem 4 :
347
Solution:
347
In 347, the digit after the one significant figure is 4.
4 ≥ 5
The above statement is false. So, 347 to one significant figures = 300.
Problem 5 :
963
Solution:
963
In 963, the digit after the one significant figure is 6.
6 ≥ 5
So, 963 to one significant figures = 1000.
Problem 6 :
2555
Solution:
2555
In 2555, the digit after the one significant figure is 5.
5 ≥ 5
So, 2555 to one significant figures = 3000.
Problem 7 :
6734
Solution:
6734
In 6734, the digit after the one significant figure is 7.
7 ≥ 5
So, 6734 to one significant figures = 7000.
Problem 8 :
39500
Solution:
39500
In 39500, the digit after the one significant figure is 9.
9 ≥ 5
So, 39500 to one significant figures = 40000.
Round off to two significant figures:
Problem 1 :
891
Solution:
891
In 891, the digit after the two significant figure is 1.
1 ≥ 5
The above statement is false. So, 891 to two significant figures = 890.
Problem 2 :
166
Solution:
166
In 166, the digit after the two significant figure is 6.
6 ≥ 5
So, 166 to two significant figures = 170.
Problem 3 :
750
Solution:
750
In 750, the digit after the two significant figure is 0.
0 ≥ 5
The above statement is false. So, 750 to two significant figures = 750.
Problem 4 :
238
Solution:
238
In 238, the digit after the two significant figure is 6.
8 ≥ 5
So, 238 to two significant figures = 240.
Problem 5 :
561
Solution:
561
In 561, the digit after the two significant figure is 1.
1 ≥ 5
The above statement is false. So, 561 to two significant figures = 560.
Problem 6 :
5647
Solution:
5647
In 5647, the digit after the two significant figure is 4.
4 ≥ 5
The above statement is false. So, 5647 to two significant figures = 5600.
Problem 7 :
9750
Solution:
9750
In 9750, the digit after the two significant figure is 5.
5 ≥ 5
So, 9750 to two significant figures = 9800.
Problem 8 :
23501
Solution:
23501
In 23501, the digit after the two significant figure is 5.
5 ≥ 5
So, 23501 to two significant figures = 24000.
Round off to the accuracy given:
Problem 9 :
€35246 (to the nearest €1000)
Solution:
35246
To round off a number to its nearest thousand we check the last three digits of the number.
2 ≥ 5
The above statement is false. So, €35246 when rounded off to the nearest thousand is €35000.
Problem 10 :
a distance of 3651 km (to the nearest 100 km)
Solution:
3651
To round off a number to its nearest hundred we check the last two digits of the number.
5 ≥ 5
So, 3651 km when rounded off to the nearest hundred is 3700 km.
Problem 11 :
a donation of $375 (to one significant figure)
Solution:
375
In 375, the digit after the one significant figure is 7.
7 ≥ 5
So, $375 to one significant figures = $400.
Problem 12 :
a house sold for £237629 (to the nearest £10000)
Solution:
237629
To round off a number to its nearest ten thousand we check the last four digits of the number.
7 ≥ 5
So, £237629 when rounded off to the nearest ten thousand is £240000.
Problem 13 :
the attendance at a rock concert is 16723 (to the nearest thousand)
Solution:
16723
To round off a number to its nearest thousand we check the last three digits of the number.
7 ≥ 5
So, 16723 when rounded off to the nearest thousand is 17000.
Problem 14 :
the crowd is 35381 people (to two significant figures)
Solution:
35381
In 35381, the digit after the two significant figure is 3.
3 ≥ 5
The above statement is false. So, 35381 to two significant figures = 35000.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM