Phép chia hai chữ số lớp 4: Bài tập và bí quyết học hay chính xác

Grade 4 two-digit division is the basic knowledge that children will learn in this grade math program. But in reality, many children still miscalculate this type of exercise, so the following article timhieulichsuquancaugiay.edu.vn will reveal the secrets to learning 2-digit division more accurately that children can refer to and apply.

The knowledge you need to prepare when learning two-digit division in grade 4

Before learning 4th grade math division by two-digit numbers, you need to clearly understand the following knowledge:

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Review the division multiplication table

The multiplication table is the most basic and important foundation when children learn multiplication or division, which they will learn from the 2nd grade math program. Therefore, to solve the two-digit division exercise, it is necessary Master the multiplication table from 1 to 10.

Master the knowledge of 1-digit division

Before learning about two-digit division, you need to clearly understand how to perform 1-digit division.

We will take the following example to better understand the 1-digit division calculation.

For example: 21024 : 2 = ?

We perform division in order from left to right. At the same time, apply 3 steps: division – multiplication – subtraction.

– 2 divided by 2 equals 1, write 1

1 multiplied by 2 equals 2, 2 minus 2 equals 0

– Lower 1, 1 cannot be divided by 2, write 0

0 multiplied by 2 equals 0, 1 minus 0 equals 1

– Lower 0 to get 10, divide 10 by 2 to get 5, write 5

5 multiplied by 2 equals 10, 10 minus 10 equals 0

– Lower 2, 2 divided by 2 is 1, write 1

1 multiplied by 2 is 2, 2 minus 2 is 0

– Lower 4, 4 divided by 2 is 2, write 2

2 multiplied by 2 equals 4, 4 minus 4 equals 0

So 21024 : 2 = 10512

Distinguish between division without remainder and division with remainder

In addition, division is divided into division with remainder and without remainder, so you also need to understand this feature to perform calculations more accurately. Here is how to distinguish division with remainder and without remainder in detail:

• Division without remainder: This is division with a remainder of 0

For example: Mom has 10 oranges divided into 2 baskets, with 5 apples in each basket.

We have the division: 10:2

We say: 10:2 is a divisible division with a quotient of 5

• Division with remainder: This is division with remainder 0

For example: Mom has 7 apples divided equally into 2 baskets, with 3 apples in each basket, she has 1 left over.

We have the division: 7:2

We say: 7:2 is a division with remainder, quotient is 3, remainder 1

Review rows and classes of natural numbers

In the division calculation, children are required to place equivalent numbers in rows and classes together. Therefore, children need to understand row and class knowledge of natural numbers, including:

• The hundreds, tens, and units form the unit class

• Hundreds of thousands, tens of thousands, thousands make up thousands

Instructions for performing 4th grade math problems dividing by two-digit numbers

After fully equipping children with knowledge to help them understand basic division with one digit, below are the steps to perform two-digit division for grade 4 for them to learn:

• Step 1: Place the calculation in a vertical column like a normal 1-digit division calculation

• Step 2: Take the first 2 digits of the dividend and divide by the divisor. At this time, whatever number the quotient receives is multiplied back with the divisor. Then we will take the first 2 digits and subtract the product received. Note: If the first 2 digits of the dividend are smaller than the divisor, you will have to take the first 3 digits of the dividend and divide by the divisor, then multiply back and subtract similarly as above.

• Step 3: Keep the number you just received, then lower the next number of the divided number by units to get the new number. Continue dividing that number by the divisor to get the next quotient number, then multiply the received quotient by the divisor, continue subtracting the new number from the beginning to get the product received.

• Step 4: Continue to lower the numbers of the dividend one by one in order from left to right, and at the same time perform the calculation steps like step 3 until the number of units is exhausted.

At this point, the quotient sequence received is the result of the 2-digit division calculation that you need to find. The final result received can be a complete division or a division with a remainder.

Note:

• When performing a division calculation, the digits of the dividend are divided from left to right.
• The final remainder is always less than the divisor
• Divisibility is complete if the remainder is 0

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For example: 428 : 24 = ?

Step 1: Divide 42 by 24 to get 1

Multiply 1 by 24 to get 24; 42 minus 24 gets 18

Step 2: Maintain 18, lower the next digit to the right of the dividend, which is 8. We got the new number 188

Divide 188 by 24 to get 8

Multiply 8 by 24 to get 184; 188 minus 184 is 4

So: 428 : 24 = 18 and the remainder is 4

A form of exercises from basic to advanced on division by 2-digit numbers

In the 4th grade math program, with two-digit division calculations, students will often encounter the following basic exercises:

Type 1: The exercise asks the calculus and then calculates

Solution method: Students will place the calculation in a vertical column, perform the calculation from left to right and apply the steps to solve the division calculation as analyzed above.

Example 1: 840 : 35

Solution instructions:

Step 1: Divide 84 by 35 to get 2

Multiply 2 by 35 to get 70; 84 minus 70 is 14

Step 2: Maintain 14, lower the next digit to the right of the dividend, which is 0. We got the new number 140

Divide 140 by 35 to get 4

Multiply 4 by 35 to get 140

So: 840 : 35 = 24

Example 2: 352 : 27 = ?

Step 1: Divide 35 by 27 to get 1

Multiply 1 by 27 to get 27; 35 minus 27 is 8

Step 2: Maintain 8, lower the next digit to the right of the dividend number 2. We got the new number 82

Divide 82 by 27 to get 3

Multiply 3 by 27 to get 81 with remainder 1

So: 352 : 27 = 13 remainder 1

Type 2: Applied problem

Solution method: Depending on each problem, you must read the problem carefully to be able to perform calculations and come up with the correct solution method.

For example: A flock of ducks produces 780 eggs every day. Farmers harvest eggs every day and divide them into dozens of different eggs. Each dozen eggs are sold for 24,000 VND. So how much money does a farmer earn from eggs a day? Know that each dozen has 12 fruits.

Solution:

The number of dozen eggs a farmer harvests each day is:

780 : 12 = 65 (a dozen eggs)

The amount of eggs the farmer collects each day is:

65 x 24,000 = 1,560,000 VND

Answer: So every day farmers earn 1,560,000 VND from harvesting duck eggs.

Secret to learning two-digit division knowledge for grade 4

To help children learn 4th grade math effectively dividing by two-digit numbers, parents can immediately apply the following learning tips:

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Master the basics of division

To be able to learn and solve 4th grade two-digit division math, parents need to guide and check whether their children have mastered the basic knowledge of division from the start. multiplication table, how to perform 1-digit division, understand division with remainder and complete division,…Only when you master this knowledge will your child no longer have a problem with how many digits there are in division.

Practice dividing by 2-digit numbers with your child in grade 4 math regularly

After mastering the theory, parents should practice with their children regularly through work Do exercises in textbooks, workbooks, discover new knowledge on the internet, participate in competitions, organize games with children… Regular practice will help improve children's memory, thinking and efficiency when learning math in a superior way.

Two-digit division exercises for grade 4 for children to practice on their own

After understanding the secrets to conquering grade 4 math, dividing by two-digit numbers, here are some exercises for your child to practice on his or her own:

Lesson 1: Set and calculate:

a. 1296 : 24

b. 180 : 36

3. 37584 : 58

c. 85491 : 63

d. 4992065 : 85

e. 2578 : 32

f. 50167 : 43

Lesson 2: Find x,y and know:

a. 73 xy = 3285

b. 10086 : x = 82

Lesson 3: Find the value of the expression:

a. 76345 – 47226 : 34

b. 56308 : 28 + 11

c. 64 + 46434 : 71

Lesson 4: A garment factory produces 4,200 sets of clothes every day, divided into dozens, each dozen has 12 sets of clothes. How many dozen does the factory produce each day?

Lesson 5: Uncle Lan's orchard has 3,640 fruit trees of all kinds planted in 14 rows. How many fruit trees are there in each row?

Lesson 6: People arrange 240 sets of tables and chairs evenly in 15 classrooms. How many sets of tables and chairs can be arranged in each room?

Lesson 7: Calculate then calculate:

a) 288 : 24

b) 469 : 67

c) 740 : 45

d) 397 : 56

Lesson 8: Find x and know:

a. xx 34 = 714

b. 846 : x = 18

Lesson 9: Calculate in the most convenient way:

a) (360 × 25 × 12) : 24 c) (450 × 480 × 44) : ( 15 × 12 ×11)

b) (150 × 35 × 10) : 25 d) (750 × 360 × 56) : (25 × 12 × 7)

Lesson 10: Give a complete division in which the dividend is a round number of ten. If we delete the zero at the end of the dividend, the new quotient will be equal to what fraction of the old quotient?

Lesson 11. In dividing 2484 by a natural number, the largest remainder is 34. Find the quotient of that division.

Lesson 12. When multiplying a number by 46, a student incorrectly wrote 46 as 64, so the product to be found increased by 2214 units. Find the exact product of two given numbers.

Lesson 13. When multiplying a number by 79, one student placed the partial products in a straight column as in addition, so the result is 2160. Find the exact product of the two given numbers.

Lesson 14. A person rides a bicycle in 1 hour and 12 minutes to cover 23km and 400m. How many meters did that person walk in 48 minutes?

Lesson 15. Uncle Vinh bought 1,425 encaustic tiles to pave the floor. He estimates that there will be 125 extra tiles, enough to cover 5m2 of the toilet area. How many square meters is the floor area of ​​Mr. Vinh's house that needs to be tiled?

Lesson 16: Calculate then calculate:

a) 9468 : 18 b) 13275 : 25

c) 18408 : 48 d) 38880 : 15

Conclude

Above is the shared knowledge about two-digit division for grade 4 for your reference. This is an important foundation for children's math learning, not only applicable in learning but also in practice. Therefore, parents should practice with their children regularly to better support their children's learning.

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