This document explains how to round numbers to the nearest ten, hundred, and thousand. For rounding to the nearest ten, examine the ones place digit and compare it to 5; if less than 5, replace the ones place with 0 and leave the tens place unchanged, if greater than or equal to 5, replace the ones place with 0 and add 1 to the tens place. The same process is followed for rounding to the nearest hundred and thousand, examining the tens place and hundreds place respectively and adjusting that place value or the place to its left based on the comparison to 5. Examples are provided to illustrate rounding 54 to 50, 65 to 70, and 56 to 60 when rounding to the nearest ten.

1. ROUNDING OFF NUMBERS
GRADE 3 and 4

2. How it works:
Round off to nearest tens
1 Examine ones place. Compare the digit at ones place with 5.
2
Digit at ones place can be:
Digit >5 or Digit <5 or Digit = 5.
3
If Digit <5, replace digit at ones place with 0 and write tens place as it
is.
If Digit >5 or Digit =5 , replace digit at ones place with 0 and add 1
at tens place.

3. Examples
We will take three examples
How it works:
1 54
1) Examine ones place : 4
2) Compare with 5 i.e; 4<5
3) Ones place replace with zero
and no change in tens place.
4) Rounded off number to nearest
ten is 50
2 65
1) Examine ones place : 5
2) Compare with 5 i.e; 5=5
3) Ones place replace with zero and add
1 at tens place.
4) Rounded off number to nearest ten is
70
3
56
1) Examine ones place : 6
2) Compare with 5 i.e; 6>5
3) Ones place replace with zero
and add 1 at tens place.
4) Rounded off number to nearest
ten is 60

4. Round off to nearest hundreds
How it works
1
Examine tens place. Compare the digit at
tens place with 5.
2
Digit at tens place can be:
Digit >5 or Digit <5 or Digit = 5.
.
3
If Digit <5, no changes at
hundred place and replace
all the digit at right side of
hundred( tens and ones)
with 0 .
If Digit >5 or Digit =5 , add
1 at hundred place and
replace all the digit at right
side of hundred( tens and
ones) with 0.

5. Examples
We will take three examples
How it works:
1 542
1) Examine tens place : 4
2) Compare with 5 i.e; 4<5
3) No changes at hundred place and
replace all the digit at right side of
hundred( tens and ones) with 0.
4) Rounded off number to nearest
hundred is 500
2 654
1) Examine tens place : 5
2) Compare with 5 i.e; 5=5
3) Add 1 at hundred place 6+1 = 7 and
replace all the digit at right side of
hundred (tens and ones) with 0.
4) Rounded off number to nearest
hundred is 700
3 567
1) Examine tens place : 6
2) Compare with 5 i.e; 6>5
3) Add 1 at hundred place 5+1 = 6 and
replace all the digit at right side of
hundred (tens and ones) with 0.
4) Rounded off number to nearest
hundred is 600
.

6. Round off to nearest thousand
How it works
1
Examine hundred place. Compare the digit
at hundred place with 5.
2
Digit at hundred place can be:
Digit >5 or Digit <5 or Digit = 5.
.
3
If Digit <5, no changes at
thousand place and replace
all the digit at the right side
of thousand with 0
If Digit >5 or Digit =5 , add
1 at thousand place and
replace all the digit at the
right side of thousand with 0

7. Examples
We will take three examples
How it works:
1 5425
1) Examine hundred place : 4
2) Compare with 5 i.e; 4<5
3) No changes at thousand place and
replace all the digit at right side of
thousand( hundreds, tens and
ones) with 0.
4) Rounded off number to nearest
thousand is 5000
2 6545
1) Examine hundred place : 5
2) Compare with 5 i.e; 5=5
3) Add 1 at thousand place 6+1 = 7 and
replace all the digit at right side of
thousand (hundreds, tens and ones)
with 0.
4) Rounded off number to nearest
thousand is 7000
3 5674
1) Examine hundred place : 5
2) Compare with 5 i.e; 6>5
3) Add 1 at thousand place 5+1 = 6 and
replace all the digit at right side of
thousand (hundreds, tens and ones)
with 0.
4) Rounded off number to nearest
thousand is 6000
.

8. More questions about Rounding Off
TheAshianaSchool
MathsCareClasses
Deepti’sMathsClasses

9. Copyright @ Deepti
May 2020
Deepti’ Maths Classes
And
Maths Care Classes