Hello Friends, Previously we have discussed about rational numbers properties and in today's session we all are going to discuss about some of the most interesting topics of mathematics, Decimal numbers and Solving decimal number problems which are usually studied in Grade IV of every education board. Here I am going to tell you the best way of understanding these terms.
Decimal number systems are easier to use than math fractions in daily life as they are base 10 systems. Decimals numbers are used in finance, construction, measuring distances, mass, currency.
In decimal number system, value of a digit of a number depends upon its position in the number. With each place has a value of 10 times the place to its rights or in other words we can say this thing as value of each place is 1/10 times the place to its left.
Now move on solving decimal number problems. There are many operations performed on decimal number:(want to know about decimal number in details ,click here),
Addition of decimal numbers:
1. Put the term in vertical column so that decimal points aligned.
2. Add each column of digits, starting on the right and working left. If the sum of a column is more than ten, "carry" digits to the next column on the left.
3. Place the decimal point in the answer directly below decimal points in the terms.
Subtraction of decimal numbers:
1. Put the numbers in a vertical column, aligning the decimal points.
2. Subtract each column, starting on the right and working left. If the digit being subtracted in a column is larger than the digit above it, "borrow" a digit from the next column to the left.
3. Place the decimal point in the answer directly below the decimal points in the terms.
Multiplication of decimals numbers:
1. Line up the numbers on the right. Do not align the decimal point.
2. Multiply the numbers just as if they were whole numbers.
3. Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.
4. Add the products.
5. Place the decimal point in the answer by starting from the right and moving a number of positions equal to the sum of the decimal places in both terms.
Division of decimals numbers:
1. If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.
2. Now divide it like we use to so in whole numbers, until the answer terminates or repeats.
3. Put the decimal point directly above decimal point in the dividend.
4. Check the answer. Multiply quotient by divisor. And make sure it will be equal to the dividend.
Rounding off decimal numbers:
1. Pick the place value which we want to round off and look at the just to the right of it.
2. If that digit is less than 5, do not change the rounding digit but drop all digits to the right of it.
3. If that digit is greater than or equal to five, add one to the rounding digit and drop all digits to the right of it.
This is all about the Decimal number and if anyone want to know about Rounding numbers then they can refer to internet and text books for understanding it more precisely.Read more maths topics of different grades such as Number systems in Grade V in the next session here.
Decimal number systems are easier to use than math fractions in daily life as they are base 10 systems. Decimals numbers are used in finance, construction, measuring distances, mass, currency.
In decimal number system, value of a digit of a number depends upon its position in the number. With each place has a value of 10 times the place to its rights or in other words we can say this thing as value of each place is 1/10 times the place to its left.
Now move on solving decimal number problems. There are many operations performed on decimal number:(want to know about decimal number in details ,click here),
Addition of decimal numbers:
1. Put the term in vertical column so that decimal points aligned.
2. Add each column of digits, starting on the right and working left. If the sum of a column is more than ten, "carry" digits to the next column on the left.
3. Place the decimal point in the answer directly below decimal points in the terms.
Subtraction of decimal numbers:
1. Put the numbers in a vertical column, aligning the decimal points.
2. Subtract each column, starting on the right and working left. If the digit being subtracted in a column is larger than the digit above it, "borrow" a digit from the next column to the left.
3. Place the decimal point in the answer directly below the decimal points in the terms.
Multiplication of decimals numbers:
1. Line up the numbers on the right. Do not align the decimal point.
2. Multiply the numbers just as if they were whole numbers.
3. Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.
4. Add the products.
5. Place the decimal point in the answer by starting from the right and moving a number of positions equal to the sum of the decimal places in both terms.
Division of decimals numbers:
1. If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.
2. Now divide it like we use to so in whole numbers, until the answer terminates or repeats.
3. Put the decimal point directly above decimal point in the dividend.
4. Check the answer. Multiply quotient by divisor. And make sure it will be equal to the dividend.
Rounding off decimal numbers:
1. Pick the place value which we want to round off and look at the just to the right of it.
2. If that digit is less than 5, do not change the rounding digit but drop all digits to the right of it.
3. If that digit is greater than or equal to five, add one to the rounding digit and drop all digits to the right of it.
This is all about the Decimal number and if anyone want to know about Rounding numbers then they can refer to internet and text books for understanding it more precisely.Read more maths topics of different grades such as Number systems in Grade V in the next session here.
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