Place value can describe the value of all numbers .The place value can be used to point out the position of a mathematical system. It is tremendously helps you to read the numerals by its places. Place value is the value which is given to the digit by popular quality .In this article we shall discuss the place value of tenths hundredths.
The place values from one to ten thousand and to ten thousandth are as follows.
For example for the value 11111.11111
1 – Place value one.
10 = place value Ten.
100 – Place value Hundred.
1000 – Place value thousand.
10000 – Place value ten thousand.
1÷10 =0.1- place value tenth.
1÷100= 0.01- place value hundredth.
1÷1000=0.001- place value thousandth.
1÷10000=0.0001- place value ten thousandth.
1÷100000=0.00001- place value hundred thousandth.
Ex:1 Round the following number to the hundredth place value 746.839256
Sol:
Given that the number 746.839256
From the given number on the left side from the decimal point,
7 indicates Place value Hundred.
4 indicate place value ten.
6 indicate Place value one.
From the given number on the right side from the decimal point,
8 indicate tenth place value.
3 indicate hundredth place value.
9 indicate thousandth place value.
2 indicate ten thousandth place value and so on.
As the question is to encircle the number 746.839256 to the hundredth place value.
The answer is 746.83
Ex:2 Add the numbers 1563.457 and 1999.336 and round the solution to the hundredth place value.
Sol:
Adding the numbers we get
The solution is 3562.793
From the given number on the left side from the decimal point,
3 indicate place value thousand.
5 indicate Place value Hundred.
6 indicate place value ten.
2 indicate Place value one.
From the given number on the right side from the decimal point,
7 indicate tenth place value.
9 indicate hundredth place value.
3 indicate thousandth place value.
As the question is to encircle the number 3562.793 to the tenth place value.
The answer is 3562.8 because the place value nearest to hundredth (7) is greater than 5(9).
Ex:3 Round the following number to the tenth place value 876.473957
Sol:
Given that the number 876.473957
From the given number on the left side from the decimal point,
8 indicates Place value Hundred.
7 indicate place value ten.
6 indicate Place value one.
From the given number on the right side from the decimal point,
4 indicate tenth place value.
7 indicate hundredth place value.
3 indicate thousandth place value.
9 indicate ten thousandth place value and so on.
As the question is to encircle the number 876.473957to the tenth place value.
The answer is 876.5
Ex:4 Add 388.8018 and 100.1111 and round the solution to tenth place value.
Sol:
Adding 388.8018 and 100.1111 we get,
The solution is 488.9129
From the given number on the left side from the decimal point,
4 indicate Place value Hundred.
8 indicate place value ten.
8 indicate Place value one.
From the given number on the right side from the decimal point,
9 indicate tenth place value.
1 indicate hundredth place value.
2 indicate thousandth place value.
9 indicate ten thousandth place value.
As the question is to encircle the number 488.9129 to the tenth place value.
The answer is 488.9
Practice Problems on Place Value:
Q:1 Round the following number to the hundredth place value 44776.76234
Ans:
The answer is 44776.76
Q:2 Round the following number to the tenth place value 56256353.3564847
Ans:
The answer is 56256353.4
Place Value Tenths Hundredths:
The place values from one to ten thousand and to ten thousandth are as follows.
For example for the value 11111.11111
1 – Place value one.
10 = place value Ten.
100 – Place value Hundred.
1000 – Place value thousand.
10000 – Place value ten thousand.
1÷10 =0.1- place value tenth.
1÷100= 0.01- place value hundredth.
1÷1000=0.001- place value thousandth.
1÷10000=0.0001- place value ten thousandth.
1÷100000=0.00001- place value hundred thousandth.
Examples Problems on Place Value:
Ex:1 Round the following number to the hundredth place value 746.839256
Sol:
Given that the number 746.839256
From the given number on the left side from the decimal point,
7 indicates Place value Hundred.
4 indicate place value ten.
6 indicate Place value one.
From the given number on the right side from the decimal point,
8 indicate tenth place value.
3 indicate hundredth place value.
9 indicate thousandth place value.
2 indicate ten thousandth place value and so on.
As the question is to encircle the number 746.839256 to the hundredth place value.
The answer is 746.83
Ex:2 Add the numbers 1563.457 and 1999.336 and round the solution to the hundredth place value.
Sol:
Adding the numbers we get
The solution is 3562.793
From the given number on the left side from the decimal point,
3 indicate place value thousand.
5 indicate Place value Hundred.
6 indicate place value ten.
2 indicate Place value one.
From the given number on the right side from the decimal point,
7 indicate tenth place value.
9 indicate hundredth place value.
3 indicate thousandth place value.
As the question is to encircle the number 3562.793 to the tenth place value.
The answer is 3562.8 because the place value nearest to hundredth (7) is greater than 5(9).
Ex:3 Round the following number to the tenth place value 876.473957
Sol:
Given that the number 876.473957
From the given number on the left side from the decimal point,
8 indicates Place value Hundred.
7 indicate place value ten.
6 indicate Place value one.
From the given number on the right side from the decimal point,
4 indicate tenth place value.
7 indicate hundredth place value.
3 indicate thousandth place value.
9 indicate ten thousandth place value and so on.
As the question is to encircle the number 876.473957to the tenth place value.
The answer is 876.5
Ex:4 Add 388.8018 and 100.1111 and round the solution to tenth place value.
Sol:
Adding 388.8018 and 100.1111 we get,
The solution is 488.9129
From the given number on the left side from the decimal point,
4 indicate Place value Hundred.
8 indicate place value ten.
8 indicate Place value one.
From the given number on the right side from the decimal point,
9 indicate tenth place value.
1 indicate hundredth place value.
2 indicate thousandth place value.
9 indicate ten thousandth place value.
As the question is to encircle the number 488.9129 to the tenth place value.
The answer is 488.9
Practice Problems on Place Value:
Q:1 Round the following number to the hundredth place value 44776.76234
Ans:
The answer is 44776.76
Q:2 Round the following number to the tenth place value 56256353.3564847
Ans:
The answer is 56256353.4
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