Q1. A number 56 is shown on the number line. There are two tens that are nearby 56 which are 50 and 60.
(i) If the distance between any two numbers is 1 unit, out of 50 and 60, which tens is nearer to 56?
(A) 50
(B) 60
(C) Both are equally near
(ii) While rounding off to nearest tens, we do exactly this. We write the tens that is nearest to a given number. Now, tell which is the nearest tens of 56.
Q2. Round off the following numbers to their nearest tens.
(i) 4:
(ii) 55:
(iii) 83:
(iv) 198:
(v) 526:
(vi) 992:
Answer (1)
Let's address each part of the question step-by-step.
Q1.(i) : We are asked to determine which of the tens, 50 or 60, is closer to 56 on a number line.
If you look at 56, it is 6 units away from 50 (i.e., 56 − 50 = 6 ).
It is also 4 units away from 60 (i.e., 60 − 56 = 4 ).
Since 4 units is less than 6 units, 60 is nearer to 56.
Thus, the tens nearest to 56 is:
(B) 60
Q1.(ii) : While rounding off a number to its nearest tens, you choose the tens number that is closer to the given number. Based on the information above, 60 is closer to 56 than 50.
Therefore, the nearest tens to 56 is 60 .
Q2 : Let's round off each given number to the nearest tens.
(i) 4:
The tens on either side of 4 are 0 and 10.
4 is closer to 0 than it is to 10.
Therefore, 4 rounded to the nearest tens is 0 .
(ii) 55:
The tens on either side of 55 are 50 and 60.
55 is exactly in the middle, but by convention, we round up.
Therefore, 55 rounded to the nearest tens is 60 .
(iii) 83:
The tens on either side of 83 are 80 and 90.
83 is closer to 80 than it is to 90.
Therefore, 83 rounded to the nearest tens is 80 .
(iv) 198:
The tens on either side of 198 are 190 and 200.
198 is closer to 200 than it is to 190.
Therefore, 198 rounded to the nearest tens is 200 .
(v) 526:
The tens on either side of 526 are 520 and 530.
526 is closer to 530 than it is to 520.
Therefore, 526 rounded to the nearest tens is 530 .
(vi) 992:
The tens on either side of 992 are 990 and 1000.
992 is closer to 990 than it is to 1000.
Therefore, 992 rounded to the nearest tens is 990 .
Rounding to the nearest tens helps to simplify numbers and make them easier to understand or work with. We always look at the ones place to decide whether to round up or down.
