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It is a process of dividing an amount into equal parts. It is one of the basic arithmetic operations. The division is the opposite of multiplication.

For example, A boy gives 16 bananas to 4 monkeys. How many bananas will each get?

Each will get = 16 ÷ 4 = 4 bananas.

- In division, the number that is being divided by another number is called the dividend.
- The number by which we divide is called a divisor.
- The number which we get as a result is called the quotient.
- The value left after division is called the remainder.

For example: Divide 26 by 5.

Steps to divide a number:

- First, divide the first digit of the dividend by the divisor.
- Multiply the digit of the quotient by the divisor.
- Subtract the result from the dividend.
- Now, write down the second digit of the dividend.
- Repeat the same process uptill the last digit of the dividend.

For example: Divide 621 by 3.

- To divide a number by 10, the quotient is obtained by removing the unit's digit from the number and the remainder is the one's digit of the number.

For example: Work out 1998 ÷ 10

On dividing 1998 by 10, we get:

Quotient = 199 and remainder = 8.

- To divide a number by 100, the quotient is obtained by removing the last two digits from the number and the last two digits is the remainder.

For example: work out 1237 ÷ 100

On dividing 1237 by 100, we get

Quotient = 12 and remainder = 37

- To divide a number by 1000, the quotient is obtained by removing the last three digits from the number and the last three digits is the remainder.

For example: work out 7880 ÷ 1000

On dividing 7880 by 1000, we get

Quotient = 7 and remainder = 880

- Division of a positive number with another positive number always gives a positive result. Example: 8 ÷ 4 = 2
- Division of a negative number with a positive number always gives a negative result
- Example: -6 ÷ 2 = -3
- Division of a negative number with another negative number always gives a positive result. Example: - 40 ÷ -4 = 10

- Convert the divisor to a whole number by moving the decimal to the right.
- Similarly, move the dividend’s decimal to the right up to the same number of places.
- Now, divide the numbers using the usual method.

Example: Divide 3.6 by 0.6.

Let us move decimals for both numbers.

36 ÷ 6 = 6

So, the answer is 6.

Example: Divide 0.336 by 0.8.

First, we need to move the decimal at the right side to make 0.8 into a whole number.

So it will be 3.36 ÷ 8

Now, ignore the decimal in the dividend and divide them without the decimal.

Now put the decimal before the last two digits in the answer.

The answer is 0.42

To divide the fractions, multiply the first fraction by the reciprocal (reverse the numerator and denominator) of the second fraction and then reduce the fraction.

Example: 4⁄6 ÷ 3⁄5 = 4⁄6 × 5⁄3

= 2⁄3 × 5⁄3 = 10⁄9

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Frequently Asked Questions

What is a good score in 11+ Maths ?

What counts as a "good" score will vary depending on the school you want to attend. The standardized 11 Plus test score average across the country is roughly 100. The highest average in some areas is 111. The lowest scores would often fall between 60 and 70, while the highest scores would normally fall between 130 and 140. To achieve excellent marks on 11+ Maths Exams, practice 11+ Maths topic-wise questions.

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What kind of questions are asked in the 11 Plus Maths exam?

The majority of the 11 Plus Maths questions are mathematical problem-solving, where pupils need to understand and apply mathematical concepts. With regular practice of 11+ Maths Topic-wise questions, you will pass the 11-plus Maths Exam with a high score.

What do you need to know for the 11 Plus Maths exam?

The children must master the following topics for the 11 plus exams

- Number and place value.
- Addition, subtraction, multiplication, and division.
- Fractions, percentages, decimals.
- Ratio and proportion.
- Algebra.
- Measurement.
- Geometry (properties and position of shapes, coordinates)
- Statistics.

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