The Basics of Division of Numbers

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When the total number of objects is shared equally into groups, it is being divided. This process is called division. It is the opposite of multiplication and repeated subtraction.

 

 

8  ÷ 2= 4

 

Repeated subtraction:

8-2=6

6-2=4

4-2=2

2-2=0

 

How many times 2 is subtracted from differences? 4 times

 

8  ÷ 2=4

 

Multiplication sentence: 4 x 2=8

Division sentence: 8  ÷ 2=4

 

Terms to Remember:

dividend  =total number of objects to be divided

 

divisor = the number of groups that is used to divide the dividend.

 

quotient = the number of objects in each group. The answer to the division

 

I. Read each problem and write your answer in the space provided. 

1. If you divide 20 lollipops among your 5 friends, how many lollipops will each friend has?
2. If you have 10 doughnuts and you are going to give 2 doughnuts to each of your sister, how many sisters will receive equal number of doughnuts?
3. There are 12 pebbles. If you put 6 pebbles in a box, how many boxes are needed?
4. Mrs. Robinson made 27 ribbons for her 3 children. How many ribbons will each child get?
5. Lisa will plant 4 sunflower seeds in a pot. If there are 16 sunflower seeds, how many pots will she need?
6. In a class there were 30 students. The teacher divided the class into 5 groups. How many groups were made?
7. I have 50 pesos. I will buy 5 strips of ribbons. How much does each strip cost?
8. If there are 18 cans of milk, how many shelves are needed if each shelf will have equal number of cans of milk?
9. The family gathered 21 watermelons in their small garden. A basket could hold 7 watermelons. How many baskets were used?
10. A group of children divided the marbles among themselves. If there were 40 marbles and each person could get 8 marbles, how many children were there in the group?

 

 

Grade 2 Math Challenge Parallel Questions- Tell How Many Ones, Tens, Hundreds, Thousands, and Ten Thousands a Number Has

Direction: Read the questions carefully and write your answers in the blanks.

1. How many ones are there in 490? ______________

2. How many ones are there in 1,038? _____________

3. How many ones are there in 72,034? _____________

4. How many tens are there in 5,900? _____________

5. How many  tens  are there in 468,600? _____________

6. How many  tens  are there in 97,490? _____________

7. How many hundreds are there in 30,000? _____________

8. How many hundreds are there in 61,300? _____________

9. How many  hundreds  are there in  484,200? _____________

10.How many thousands are there in 37,000? _____________

11.How many thousands are there in 1,000? _____________

12.How many thousands are there in 59,000? _____________

13.How many ten thousands are there in 380,000? _____________

14.How many ten thousands are there in 500,000? _____________

15. How many hundred thousands are there in 900,000? _____________

Grade 2 Math Challenge Parallel Questions- Write an Expanded Form of a Number into a Standard Form

Exercises.

A. Direction: Read the questions carefully and write your answers in the blanks.

1.What is 8 x 10,000 + 9 x 1,000 + 1 x 100 + 2 x 10 + 3  written in standard form ?____________

2.What is  5 x 1,000 + 7 x 100 + 3 x 10 + 7  written in standard form ?____________

3.What is 9 x 10,000 + 4 x 1,000 + 2 x 100 + 7 x 10   written in standard form ?____________

4.What is 3 x 10,000 + 7 x 1,000 + 5 x 100 + 6 x 10 + 2  written in standard form ?____________

5.What is 7 x 10,000 + 8 x 100 + 8 x 10 + 8  written in standard form ?____________

6.What is 1 x 10,000 + 9 x 1,000 + 3 x 100 + 5 x 10 + 3  written in standard form ?____________

7.What is  6x 1,000 + 5 x 100 + 3 x 10 + 4  written in standard form ?____________

8.What is 2 x 10,000 + 4 x 1,000 + 6 x 100 + 9  written in standard form ?____________

9.What is 8 x 10,000 + 3 x 1,000 + 2 x 100 + 1 x 10 + 4  written in standard form ?____________

10.What is 4 x 10,000 + 1 x 1,000 + 3 x 100 + 4 x 10 + 7  written in standard form ?____________

11.What is  7 x 1,000 + 8 x 100 + 3 x 10 + 3  written in standard form ?____________

12.What is 1 x 10,000 + 1 x 1,000  + 9 x 10 + 9  written in standard form ?____________

13.What is 5 x 10,000 + 8 x 1,000 + 3x 100 + 5 x 10 + 6  written in standard form ?____________

14.What is 9 x 10,000 + 2 x 1,000 + 2 x 100 + 3 x 10 + 8  written in standard form ?____________

15. What is  9 x 1,000 + 2 x 100 + 7 x 10 + 9  written in standard form ?____________

Grade 2 Math Challenge Parallel Questions- Can Form the Least or Largest Number Using 4 Digits

Question: What is the smallest 4-digit number that you can form with the digits 0,2,0,1?

Things to Remember:

* Zeros must be within the two digits that are equal to one or more. 

*Identify the smallest number greater than zero and write it in thousands place.

* Next, arrange the remaining numbers from least to greatest. Write the remaining numbers in hundreds, tens, and ones place respectively. 

In this set of numbers, 0,0,2,1, which is the smallest number that is more than zero? It is 1. 

     1      ___    ___   ____

  Th       H        T     O

The remaining numbers are  0, 2, 0. 

Arrange these numbers from least to greatest.  --> 0, 0, 2

Write each digit in the hundreds, tens, and ones place respectively. 

1 0 0 2

The smallest 4-digit number that you can form with the digits 0,2,0,1 is 1,002.

How about the other way around?

If the given numbers have no zeros, arrange the digits from smallest to biggest. The first digit is in the thousands’ place, the second is in hundred’s place, the third is in ten’s place, and the least digit is in the one’s place. 

7,9,1,3---> 1,3,7,9

  1         3        7      9

  Th       H        T     O

Arrange the digits from biggest to smallest. The first digit is in the thousands’ place, the second is in hundred’s place, the third is in ten’s place, and the least digit is in the one’s place. 

0,2,0,1--->  2,1,0,0

  2         1        0      0

  Th       H        T     O

The biggest 4-digit number that you can form with the digits 0,2,0,1 is 2,100.

Try these!

B. Direction: Read the questions carefully and write your answers in the blanks.

1.What is the smallest 4-digit number that you can form with the digits 0,2,0,1?___________

2.What is the smallest 4-digit number that you can form with the digits 9,6,5,7?___________

3.What is the biggest 4-digit number that you can form with the digits 5,0,8,1?___________

4.What is the smallest 4-digit number that you can form with the digits 1,2,3,2?___________

5.What is the biggest 4-digit number that you can form with the digits 4,2,6,0?___________

6.What is the smallest 4-digit number that you can form with the digits 8,8,8,8?___________

7.What is the smallest 4-digit number that you can form with the digits 5,7,2,3?___________

8.What is the biggest 4-digit number that you can form with the digits 8,4,9,1?___________

9.What is the biggest 4-digit number that you can form with the digits 3,9,5,6?___________

10.What is the smallest 4-digit number that you can form with the digits 8,9,0,0?___________

11.What is the smallest 4-digit number that you can form with the digits 0,5,0,7?___________

12.What is the smallest 4-digit number that you can form with the digits 2,1,9,3?___________

13.What is the biggest 4-digit number that you can form with the digits 5,2,3,0?___________

14.What is the biggest 4-digit number that you can form with the digits 0,0,0,1?___________

15.What is the biggest 4-digit number that you can form with the digits 3,8,1,2?___________

Grade 2 Math Challenge Parallel Questions- Identify the Value of a Digit in a Number

Question: What is the value of 7 in  979,243?

Answer: 70, 000 or 7 ten thousands

A. Direction: Read the questions carefully and write your answers in the blanks.

1.What is the value of   9 in  82,901?___________________

2.What is the value of   1 in  130,663?___________________

3.What is the value of   8 in  198,400?___________________

4.What is the value of   7 in  369,870?___________________

5.What is the value of   5 in  848,589?___________________

6.What is the value of   3 in  7,438?___________________

7.What is the value of   9 in  945,627?___________________

8.What is the value of   2 in  138,325?___________________

9.What is the value of   6 in  28,246?___________________

What is the value of   1 in  421?___________________

Grade 2 Math Challenge Parallel Questions- Identify the Place Value of a Digit in a Number

A. Direction: Read the questions carefully and write your answers in the blanks.

1.What is the place value of the underlined digit in  979,243? ___________________

2.What is the place value of the underlined digit in  455,032? ___________________

3.What is the place value of the underlined digit in  63,086? ____________________

4.What is the place value of the underlined digit in  1,887? ____________________

5.What is the place value of the underlined digit in  783,513? ____________________

6.What is the place value of the underlined digit in  143,322? ____________________

7.What is the place value of the underlined digit in  5,067? ____________________

8.What is the place value of the underlined digit in  257,592? ____________________

9.What is the place value of the underlined digit in  433,203? ____________________

10.What is the place value of the underlined digit in  108? ____________________

11.What is the place value of the underlined digit in  486,394? ____________________

12.What is the place value of the underlined digit in  36,885? ____________________

13.What is the place value of the underlined digit in  21,359? ____________________

14.What is the place value of the underlined digit in  106,376? ____________________

15.What is the place value of the underlined digit in  524,123? ____________________

Math Challenge Parallel Questions

Math is not actually difficult. It is just a matter of practicing one's Mathematical skills. Constant practice and review of Math lessons are important for a child to develop his or her ability to answer not only basic Mathematical problems but also challenging problems.

In the Philippines, Metrobank Foundation Inc, Mathematics Teachers Association of the Philippines (MTAP) , and the Department of Education (DepEd) collaborated to organize Metrobank-MTAP-DepEd Math Challenge (MMC) every year.

I was able to teach several students who are MTAP contestants when I was still teaching at a school. Simply, I was an MTAP trainer before.

I have been having this underlying thought that every Filipino child can do challenging Math problems. How? By constant practice. One of the ways to do this is to give the student a set of questions targeting one skill. For example, in identifying the place value of a digit in a number, I would give ten different questions asking the student to just identify the place value of a digit. Repetition is a mother of skill, as the famous American businessman and authoer Anthony Robbins said.

There are so many ways to train students. I wish to include my way of doing it.

In this MTAP series, questions patterned after the common Math Challenge questions are posted.