11 Plus Maths – Place Value and Rounding
11 Plus Maths – Place Value and Rounding
Rounding Numbers
Rounding a number means writing the number simpler and very close to its original number. In other words, rounding a number means making a number to its nearest value as close it was.
E.g.:
- Rounding off to nearest 10:
- 429 is rounded off to 430
- 12 is rounded off to 10
- Rounding off to nearest 100:
- 48 is rounded off to 0
- 150 is rounded off to 200
- 845 is rounded off 800
- Rounding off to nearest 1000:
- 99 is rounded off to 0
- 7499 is rounded off to 7000
ROUNDING DECIMAL NUMBERS
To round off decimals:
- Find the “rounding digit” and consider the digit which is right of it.
- If that digit is less than 5, do not change the rounding digit and remove all the digits to their right.
- If that digit is greater than or equal to five, add one to the rounding digit and remove all the digits to the right of it.
E.g., Round of the following decimals to Hundredths.
1.7245 can be rounded to 1.72 (because 4 is less than 5)
1.7256 can be rounded to 1.73 (because 5 is equal to 5)
Examples:
- Round off 2.6273 to two decimal places
Solution: 2.63
- Round off 6.231 to one decimal place
Solution: 6.2
- Round off 4436.8 to nearest ten
Solution: 4440
- Round off 63970.3 to nearest hundred
Solution: 64000
- Round off 38.073 to nearest hundred
Solution: 38.07
11 Plus Place value :
Place value can be defined as the value represented by a digit in a number based on its position in the number.
*Every digit in a number has a place value.
Explanation:
Let the number be ‘abcdefgh’.
The place value of h = h = ones
The place value of g = g x 10 – Tens
The place value of f = f x 100 – Hundreds
The place value of e = e x 1000 – Thousands
The place value of d = d x 10000 – Ten thousand
The place value of c = c x 100000 – Hundred thousand
The place value of b = b x 1000000 – Millions
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Example:1
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