Multiplication of a Decimal by 10, 100, 1000
This topic would deal with multiplication of decimal with 10, 100 and 1000. We have learnt multiplication of decimal numbers with other decimal numbers or whole numbers. Here we will deal with multiplication of decimal number with 10, 100, and 1000. In order to multiply a decimal number with 10, 100 or 1000 the decimal point moves right depending on the number of zeros.
For the purpose of multiplication with 10, 100 or 1000 the decimal point moves to the right. The number of places the decimal point will move depends on the number of zeros. Suppose a decimal number is multiplied with 10 then the decimal point will move one place right. If the decimal number is multiplied with 100 then the decimal point will move 2 places to the right if it is multiplied with 1000 then it will move 3 places right and so on.
For example:
5.568 × 100
The decimal point will move 2 places to the right as there are 2 zeros. Therefore the decimal will be placed after the digit 6. That means
= 556.8
Here are few more examples to illustrate multiplication of decimal by 10, 100 and 1000
1. 85.96 × 1000
The decimal point will move 3 places to the right as there are 3 zeros.
= 85960
After 6 there is no other digit but the decimal needs to move 1 more place hence we need to put zero
2. 155.26 × 100
The decimal point will move 2 places to the right as there are 2 zeros. Therefore the decimal will be placed after the digit 6. That means
= 15526
3. 50.96 × 10
The decimal point will move 1 places to the right as there are 1 zeros. Therefore the decimal will be placed after the digit 9. That means
= 509.6
4. 7.854 × 10
The decimal point will move 1 places to the right as there are 1 zeros. Therefore the decimal will be placed after the digit 8. That means
= 78.54
5. 0.554752 × 10000
The decimal point will move 4 places to the right as there are 4 zeros. Therefore the decimal will be placed after the digit 7. That means
= 5547.52
6. 703.96 × 1000
The decimal point will move 3 places to the right as there are 3 zeros.
= 703960
After 6 there is no other digit but the decimal needs to move 1 more place hence we need to put zero
7. 2.374 × 100
The decimal point will move 2 places to the right as there are 2 zeros. Therefore the decimal will be placed after the digit 7. That means
= 237.4
8. 425.58 × 1000
The decimal point will move 3 places to the right as there are 3 zeros.
= 425580
After 8 there is no other digit but the decimal needs to move 1 more place hence we need to put zero
You might like these
Worksheet on Divisibility Rules | Questions on Test of Divisibility
This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10. 1. Check whether the following numbers are divisible by 2 or 3 or both? (i) 2562 (ii) 5693 (iii) 2201 (iv) 7480 (v) 5296 (vi) 4062 (vii) 4568 (viii) 1425 (ix) 1110
Problems on Divisibility Rules | Rules to Test of Divisibility | Test
Here are few problems on the divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, and 10 which will help the learners in revising their concepts on the divisibility rules. 1. Check whether 3456 is divisible by 2? Solution: The last digit is an even number (i.e. 6) hence 3456 is
From Multiplication of a Decimal by 10, 100, 1000 to HOME PAGE
Recent Articles
-
Respiratory Balance Sheet | TCA Cycle | ATP Consumption Process
Feb 18, 24 01:56 PM
The major component that produced during the photosynthesis is Glucose which is further metabolised by the different metabolic pathways like glycolysis, Krebs cycle, TCA cycle and produces energy whic… -
Electron Transport System and Oxidative Phosphorylation | ETC |Diagram
Feb 04, 24 01:57 PM
It is also called ETC. Electron transfer means the process where one electron relocates from one atom to the other atom. Definition of electron transport chain - The biological process where a chains… -
Tricarboxylic Acid Cycle | Krebs Cycle | Steps | End Products |Diagram
Jan 28, 24 12:39 PM
This is a type of process which execute in a cyclical form and final common pathway for oxidation of Carbohydrates fat protein through which acetyl coenzyme a or acetyl CoA is completely oxidised to c… -
Aerobic Respiration | Definition of Aerobic Respiration | Glycolysis
Dec 15, 23 08:42 AM
This is a type of respiration where molecular free oxygen is used as the final acceptor and it is observed in cell. Site of Aerobic Respiration - Aerobic respiration is observed in most of the eukaryo… -
Fermentation | Definition | Types of Fermentation | Application
Nov 29, 23 10:27 PM
Definition of fermentation- It is a process that is energy yielding process of anaerobic oxidation of organic compounds which are carried out by the enzyme action of micro organisms where neither gase…
New! Comments
Have your say about what you just read! Leave me a comment in the box below.