The absolute error of the approximation 125.67 to the value 119.66 is
Answers
Answer:
No. of. Digits
Indian System
International System
6-Digit Numbers
1 Lakh
100 Thousand
7-Digit Numbers
10 Lakhs
1 Million
8-Digit Numbers
1 Crore
10 Million
9-Digit Numbers
10 Crores
100 Million
Place Value for Decimals
Hundred
Thousands Ten
ThousandsThousandsHundredsTensOnes.TenthsHundredths
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Place value tells you how much each digit stands for
Use a hyphen when you use words to write 2-digit numbers greater than 20 that have a digit other than zero in the one’s place.
A place-value chart tells you how many hundreds, tens, and ones to use.
Place Value Table
NumberPlace ValueValue of digit67,891,234Units / Ones467,891,234Tens3067,891,234Hundreds20067,891,234Thousands1,00067,891,234Ten thousand90,00067,891,234Hundred thousand800,00067,891,234Millions7,000,00067,891,234Ten million60,000,000
Zeros may stand for nothing, but that doesn’t mean you can leave them out. They keep other digits in the correct places.
ThousandsHundredsTensOnes2040
Think: 2 thousand + 0 hundred + 4 tens + 0 ones
Write: 2,040
Say: Two thousand Forty
Also, read:
Introduction To Large Numbers
Natural Numbers And Whole Numbers
Number Patterns Whole Numbers
Face Value in Maths
The face value of a digit is the value of the digit itself, in a number. Whether the number is single-digit, double-digit, or three-digit or any number, each digit has its face value. Let us understand with the help of examples.
For number 2, 2 is the face value.
For number 89, the face value of 8 and 9 are 8 and 9 respectively.
For 52369, the face value of 3 is 3.
Difference Between Place Value and Face Value
From the definition, we know place value states the position of a digit in a given number, whereas face value describes the value of the digit.
Let us take an example of a number say, 2456. Check the table below to understand the difference.
Digits
Place ValueFace Value
2
Thousands
2
4
Hundreds
4
5
Tens
5
6Units or ones
6
Place Value Through The Millions
Millions Period Thousands Period One’s Period
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The digits in large numbers are in groups of three places. The groups are called periods. Commas are usually used to separate the periods.
Let us take an example of a number, 71502700. Check the position of each digit in the given table below.
Hundred Million Ten Million MillionsHundred Thousand Ten Thousand ThousandsHundreds Tens Ones71502700
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Solved Examples
Example 1:
Write the number 27349811 in the International place value system. Also, write it with commas and in words.
Solution:
MILLIONTHOUSANDSONES
T.MMH.ThT.ThThHTO27349811
With commas – 27,349,811
In words – Twenty-seven million three hundred forty-nine thousand eight hundred eleven.
Example 2:
In the number 783425, write the digit that is in –
(a) hundreds place (b) hundred thousand place
(c) ten thousand’s place (d) One’s place
Solution:
(a) A number in hundreds place is 4
(b) A number in hundred thousand’s place is 7
(c) A number in ten thousand’s place is 8
(d) A number in One’s place is 5
To learn more about Maths concepts, stay tuned with BYJU’S – The Learning App and download the app to learn with ease.
Practice Questions
Find the place value of:
2 in 230
4 in 1490
9 in 129
6 in 67878
Expand the numbers representing the place value of each digit.
799
56788
101000
1119
Frequently Asked Questions – FAQs
What is Place Value? Give example.
The place value is the position of each digit in a number. The place value of digits is determined as ones, tens, hundreds, thousands,ten-thousands and so on, based on their position in number. For example, the place value of 1 in 1002 is thousands, i.e.1000.
What is the place value of 6 in 64?
The place value of 6 in 64 is 6 tens or 60, such that, 6 tens plus 4 is equal to 64.
What is the place value of 1 in 100?
The place value of 1 in 100 is hundreds place, i.e. 1 x 100 = 100.
What is the place value of 2 in 123456? Also, expand the number.
The place value of 2 in 123456 is ten-thousands, such that, 2 x 10,000 = 20000.
Expanded form of 123456 = 1 x 100000 + 2 x 10000 + 3 x 1000 + 4 x 100 + 5 x 10 + 6.
What is place value of 0 in 209?
The place value of 0 in 209 is tens.
How place value is different from face value?
The place value represents the position of a digit in the number but the face value shows the exact value of a digit.
For example, in 2003, the place value of 2 is thousands whereas face value is 2 only.
Test your knowledge on Place Value
Concept:
To answer this question we need to be aware of what error means.
Error is the measure of the difference between the true and experimental or approximated quantities of things.
Formula required:
Absolute error=| true value-approximated value |
Given:
We are given the number 125.67 which is approximated to be 119.66
To find:
We are asked to find the absolute error.
Solution:
The number is 125.67 which is named the true value.
And the approximated value is given as 119.66
Hence,
The absolute error =|True value-approximate value|
=|125.66-119.66|
=|6.01|
=6.01
Conclusion:
The absolute error is 6.01