Week 7 Math 4

Week 7 Math 4

Dividing 3 to 4 Digit Numbers by 10, 100 or 1000 Without and With Remainder and Estimation of quotient.

After going through this lesson, you are expected to divide 3-to 4-digit numbers by 10, 100 ,or 1000 with and without remainder.

 Estimate the quotient of 3- to 4-digit dividends by 1- to 2-digit divisors and solve for both the estimated quotient and actual quotient. 

Multiple Select

Review: Read each item carefully. Choose the correct answer.

1. The quotient is 68. The divisor is 9. Give the dividend.

• 600

• 612

Multiple Select

2.What will be the remainder if 261 is divided by 5?

• 1

• 2

Multiple Select

3.How many 4’s are there in 120?

• 30

• 40

Multiple Select

4.What will you get if you divide 620 by 20?

• 30

• 31

Multiple Select

 $5.\ 832\ \div\ 10\ =$  

• 82

• 83

Notice how we divide the numbers by 10, 100 and 1000 without remainder

 $5000\ \div\ 1000=\ 5$   $5000\ \div\ 10=500$  

 $5000\ \div\ 100\ =50$  

Read and analyze the problem. Observe the quotient if the divisor is 10,100 and 1000. 

The Boy Scouts of Danao Elementary School initiated the collection of 2318 canned goods to be given to 10 poor families affected by typhoon Leo. How many pieces of canned good should each family receive? 

2, 318 ÷ 10 = 231 r.8

Try to observe the digits of the dividend is exactly the same with the first 3 digits of the quotient. Remainder is also the same digit of the last digit of the dividend. 

 In dividing 3 to 4-digit numbers by 10 with remainders, the last digit in the dividend is the remainder while the remaining digits represent the quotient. 

Here is the another example using 100 as division. 2, 318 ÷ 100 = 23 r. 18 

The first 2 digits of the dividend is exactly the same first 2 digits of the quotient. Remainder is also the same digits of the last 2 digits of the dividend.

 In dividing 3 to 4-digit numbers by 100 with remainder, the 2 digits in the dividend is the remainder while the remaining digits represent the quotient. 

Here is the another example using 1000 as divisor. 2, 318 ÷ 1000 = 2 r. 318 

The first digit of the dividend is exactly the same with first digit of the quotient. Remainder is also the same digit of the last 3 digits of the dividend. 

In dividing 4-digit numbers by 1000 with remainder, the 3 digits in the dividend is the remainder while the remaining digits represent the quotient.

Estimating the Quotient of 3 to 4 Digit Dividends by 1 to 2 Digit Divisors

Example:

3 1, 205 ÷ 48 = 650 r 5 

3 0 000 ÷ 50 = N --Round off the dividend and the divisor to their highest place value.  

3 0 000 ÷ 50 = 600-- Apply the rules for cancellation for dividing rounded numbers.

Multiple Choice

Find the quotient.

1. 5386 divided by 1000 will give you a remainder of ______.

• 86

• 36

• 386

• 6

Multiple Choice

2.. 650 is equal to how many tens?

• 65

• 650

• 6

• 6500

Multiple Choice

3. Nine thousand five hundred thirty-four has how many thousands?

• 9

• 95

• 9 r.534

• 95 r. 34

Multiple Choice

4.There are 9 540 kilos of rice to be distributed among 1000 household due to pandemic COVID 2019. How many kilos of rice will each household receive?

• 9 r.545

• 9

• 95 r.45

• 954 r.5

Multiple Choice

5. There are 9020 can goods to be placed equally inside 100 boxes. How many can goods will each box hold?

• 60

• 96

• 90

• 92

Multiple Choice

6.4000 ÷ 10

• 4

• 40

• 400

• 4000

Multiple Choice

7.Estimate the quotient of 825 divided by 24.

• 4

• 40

• 400

• 4000

Multiple Choice

8.20 000 ÷ 100 =

• 2

• 20

• 200

• 2000

Multiple Choice

9.9 000 ÷ 100 =

• 9

• 90

• 900

• 9000

Multiple Choice

10. 12 000 ÷ 1 000 =

• 12

• 120

• 1200

• 1