Week 7 Math 6

Week 7 Math 6

Division of Whole Numbers and Decimal Numbers

After going through this lesson, you are

expected to divide whole numbers by decimals up to 2 decimal places and vice versa and mixed decimals up o 2 decimal places.

Review

What are the steps in solving Simple or word Problems?

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Divide the following numbers as fast as you can.

 $72\div9=$  

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Divide the following numbers as fast as you can.

 $56\ \div\ 7\ =$  

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Divide the following numbers as fast as you can.

 $49\ \div\ 7=$  

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Divide the following numbers as fast as you can.

 $64\ \div\ 8$  

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 $32\ \div\ 8=$  

The word decimal comes from the Latin word decima, meaning tenth part. Although we are using different notation, we are still considering the nonnegative rational numbers. Division of decimals, just like multiplication, can be done using either the fraction method or the decimal method.

Divide 49 by 0.7

How do we divide whole numbers by a decimal numbers?

Division of decimals, just like multiplication, can be done using either the fraction method or the decimal method. Change the divisor into whole number. If one decimal place, multiply the divisor by 10 and the dividend or just simply move the decimal point one step to the right. Then do the long traditional division problem.

How is division done with decimals? How do we divide decimals/ mixed decimals by decimals?

Before you proceed dividing, you need to answer the question. Is your divisor a whole number? If not then, make it a whole number by diving the divisor by 10 if it is only one place or just move the decimal one step to the right as well as you dividend. Divide as traditional long problem.

What if we divide decimal numbers by a whole number?

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Try this

1.   $0.81\ \div0.09$  

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 $2.\ 208\ \div0.8=$  

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 $3.\ 42.78\ \div\ 3=$  

How to Divide Whole Numbers by Decimal numbers/ Mixed Decimal by Decimals, Decimal by Whole Number?

In dividing decimal/mixed decimal by decimals, we have o use the following steps. First, change the divisor to a whole number by moving the decimal point to the rightmost place or multiply it by 10 if only one decimal place or 100 if 2 decimal places. Second, move the decimal point in the dividend to as many places as the decimal point in the divisor is moved or multiply it also by 10 or 100. Note: What we do with the divisor, we do the same to the dividend. Third, insert zeros to the dividend when needed. 

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 $4.\ 0.96\ \div\ 0.12\ =$  

Let's continue.

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 $5.\ 0.96\ \div\ 0.16\ =$  

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 $6.\ 355\ \div0.\ 5=$  

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 $7.\ 312\ \div\ 0.6\ =$  

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8. What is the quotient if we divide 0.54 by 0.1? 

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 $9.\ 2.35\ \div5\ =$  

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 $10.\ 29.8\ \div\ 2=$  

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 $11.\$