Round off to Nearest 10

Round off to nearest 10 is discussed here. Rounding can be done for every place-value of number. To round off a number to the nearest tens, we round off to the nearest multiple of ten.

A large number may be rounded off to the nearest 10.

Rules for Rounding off to the Nearest 10:

Rule I. While rounding off to the nearest ten if the digit in the units place is between 0 – 4 i.e., < 5 then the unit digit is replaced by 0.

Rule II. If the digit in the units place is 5 to 9 i.e., > or 5 but < 10, then the units place is replaced by ‘0’ and the tens place increased by 1.

Examples on rounding off to the nearest ten (10):

1. Aaron has 63 marbles rounded 63 to the nearest tens.

$Round off to Nearest 10$

63 lies between 60 and 70 (multiples of 10)

63 is nearer to 60 than 70

So, we can say Aaron has about 60 marbles.

Similarly let us round the following numbers to the nearest ten.

(i) 43 → 40

We see the digit in the ones place is 3, now round to the nearest multiple of 10 which is smaller than the number. Hence, 43 is nearer to 40 than 50.

(ii) 158 → 160

We see the digit in the ones place is 8, now round to the nearest multiple of 10 which is greater than the number. Hence, 158 is nearer to 160 than 150.

(iii) 3501 → 3500

We see the digit in the ones place is 1, now round to the nearest multiple of 10 which is smaller than the number. Hence, 3501 is nearer to 3500 than 3510.

(iv) 1023 → 1020

We see the digit in the ones place is 3, now round to the nearest multiple of 10 which is smaller than the number. Hence, 1020 is nearer to 1020 than 1030.

(v) 6275985 → 6275990

We see the digit in the ones place is 5, now round to the nearest multiple of 10 which is greater than the number. Hence, 6275985 is nearer to 6275990 than 6275980.

2. Round off 14,57,894 to the nearest 10.

Solution:

We choose the two multiple of 10 just greater than and just less than 14,57,894 on the number line.

$Rounding to the Nearest 10$

We observe that 14,57,894 is closer to 14,57,890. So, it is rounded down to 14,57,890.

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Round off to Nearest 100 | Rounding Numbers To Nearest Hundred | Rules
While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’. If the digit in the units place is equal to or >5, then the tens place is replaced by ‘0’ and the hundreds place is increased by 1.
Round off to Nearest 1000 |Rounding Numbers to Nearest Thousand| Rules
While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’. If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by ‘0’ and the thousands place is