130 X 08

Mastering the Multiplication of Decimals: Solving 130 x 0.8

Understanding decimal multiplication is crucial in various aspects of life, from calculating discounts and taxes to solving problems in science and engineering. While seemingly simple, the multiplication of decimals often presents challenges, especially when dealing with larger numbers. This article focuses on solving the multiplication problem 130 x 0.8, addressing common misconceptions and offering a step-by-step approach to ensure mastery of this fundamental mathematical concept. We'll explore different methods and provide clarity for those who find decimal multiplication daunting.

1. Understanding the Problem: 130 x 0.8

The problem, 130 x 0.8, asks us to find the product of 130 and 0.8. This involves multiplying a whole number (130) by a decimal (0.8). The decimal 0.8 represents eight-tenths (8/10), making this problem equivalent to finding eight-tenths of 130. This understanding lays the foundation for different solution approaches.

2. Method 1: Converting the Decimal to a Fraction

A common and often easier approach is to convert the decimal into its fractional equivalent. This simplifies the multiplication process, especially for those comfortable working with fractions.

Step 1: Convert the decimal to a fraction.

0.8 is equivalent to 8/10. This can be simplified to 4/5.

Step 2: Perform the multiplication using fractions.

130 x (4/5) = (130 x 4) / 5 = 520 / 5

Step 3: Simplify the fraction.

520 divided by 5 is 104.

Therefore, 130 x 0.8 = 104.

3. Method 2: Direct Multiplication using the Standard Algorithm

This method involves the standard multiplication algorithm, treating the decimal point as if it weren't there initially.

Step 1: Ignore the decimal point and multiply as you would with whole numbers.

130
x 8
------
1040

Step 2: Account for the decimal point.

Since 0.8 has one digit after the decimal point, we move the decimal point in the result (1040) one place to the left.

1040 becomes 104.0 or simply 104.

Therefore, 130 x 0.8 = 104.

4. Method 3: Using the Distributive Property

The distributive property allows us to break down the multiplication into smaller, more manageable parts. We can rewrite 0.8 as (1 - 0.2).

Step 1: Apply the distributive property.

130 x 0.8 = 130 x (1 - 0.2) = (130 x 1) - (130 x 0.2)

Step 2: Perform the individual multiplications.

130 x 1 = 130
130 x 0.2 = 26

Step 3: Subtract the results.

130 - 26 = 104

Therefore, 130 x 0.8 = 104. This method is particularly useful when dealing with decimals that are close to whole numbers.

5. Addressing Common Challenges

A common mistake is misplacing the decimal point in the final answer. Always remember to count the total number of digits after the decimal point in the original problem and move the decimal point in the result accordingly. Another challenge is the difficulty in visualizing decimal multiplication. Converting to fractions can aid in this visualization. Finally, some students struggle with the standard algorithm; practicing regularly is crucial for mastering this method.

Summary

This article explored multiple methods for solving the multiplication problem 130 x 0.8, highlighting the importance of understanding decimal multiplication. We demonstrated the conversion to fractions, the standard algorithm, and the distributive property, providing step-by-step explanations for each. By mastering these methods and addressing common challenges, one can develop confidence and proficiency in solving similar problems involving decimal multiplication.

FAQs

1. Can I use a calculator to solve 130 x 0.8? Yes, calculators are a helpful tool for verification and for more complex problems. However, understanding the underlying mathematical principles is vital for problem-solving.

2. What if the decimal had more than one digit after the decimal point (e.g., 130 x 0.87)? The principles remain the same. You would multiply as you would with whole numbers and then move the decimal point to the left by the total number of digits after the decimal points in the original numbers (in this case, two).

3. Is there a difference between multiplying by 0.8 and dividing by 1.25? Yes, 0.8 is equal to 4/5, while 1/1.25 is also equal to 4/5. Therefore, multiplying by 0.8 and dividing by 1.25 achieve the same result.

4. Why is converting decimals to fractions helpful? Converting decimals to fractions provides a clearer visual representation of the problem and can simplify the multiplication process, especially for those who are more comfortable with fraction arithmetic.

5. What are some real-world applications of this type of problem? This type of problem is encountered frequently when calculating discounts (e.g., 80% off), taxes, interest, or proportions in various fields such as finance, engineering, and science.

Search Results:

Auto+ 130X Cross Cut Shredder - Shredding Machines Spend 98% less time shredding, save time and money with Auto Feed shredders. The Auto+ 130X shredder automatically shreds up to 130 sheets (80gsm) or 140 sheets (70gsm) in to P-4 …

Hino Dutro 130 HD 4X4 - persada-group.com 130 / 2,800 PS/rpm 38 / 1,800 kg.m/rpm 4 104 x 118 mm 4,009 cc TRANSMISI Tipe Perbandingan gigi C Ke-1 Ke-2 Ke-3 Ke-4 Ke-5 Ke-6 Ke-7 Ke-8 Mundur RE50 5,342 2,975 1,604 1,000 0,712 …

SANITARY PRESSURE REDUCING VALVES P130K The ADCAPure P130K is a series of direct acting, diaphragm sensing pressure reducing valves. These regulators, available with spring or dome-loading, are designed for use with clean air, …

Metal Ceiling System SAS130 CPC Code 42190 - SAS International upported from SAS Alugrid or SAS Tee Grid. Alugrid-Q features a continuous linear recess with an M6 thread . hile providing a completely flush ceiling. Alugrid-P is a plain version without the …

SAS130 - SAS International SAS130 offers either a flush (Alugrid) or tegular (Tee Grid) finish metal ceiling, depending on aesthetic preference. Lay-in tiles are quick to mount and dismount offering simple access to …

New 130DI Leaflet FINAL UPDATED Landscape FINAL.cdr No. of Speeds 08 (06- Forward & 02- Reverse) Transmission Oil Capacity, Ltr 6.0 (SAE 90) Brake System Hand Operated Internal Expanding Metallic Shoe Type Wheels Type & Nos. …

7mm-08 Remington with 130 gr Spitzer BTSP - Speer 130 gr Spitzer BTSP 130 gr Spitzer SP Hot-Cor® 7mm Speer Part No. Weight, grains COAL Tested Ballistic Coefficient Sectional Density 1624 130 2.730" .424 .230 1623 130 2.730" .368 …

Standard Rectifier Module - Littelfuse Ü¥uŠ; ¸ &Š Š©p ð)qE œ&.Ù°!|ßÆwŠ X¢rJ ”1ÕƒUrƒmçŠcf ß·HuŠ -¥ZbLKiÙè6ï |ß) (=Š:K î”.-£4 ñ5î€Òbe¦X p§´( ( (5>Æ`|ÊV§ ì&.‰ Â÷m|§HÕV =ŠYÃx Z*l;—…YÚi– (j3EÑ ÎÖÞ*VÛdƒ«& q> …

rev 02 - 0/24 PEGASUS SHORT CHANNEL 130 x 40 PEGASUS SHORT CHANNEL 130 x 40 2. USE Used for the collection and drainage of rainwater. The matching to its range of gratings allows the use in pedestrian or light traffic areas. …

GR-130EX - Tadano Root diameter x wide..... 0.265 m x 0.239 m Wire rope diameter x length..... 11.2 mm x 137 m Drum capacity..... 148.4 m, 7 layers ... SPEC. SHEET NO. GR-130E-2-00103/EX-08. CRANE …

CV-08W-X-Y-Z-2 - winnerhydraulics.com X OPERATION OPTION Rated pressure: 350 bar Rated flow: 30 l/min Cavity-Tooling: 08W-2 Installation torque: 39 - 51 Nm Weight: 0.096 kg CHECK VALVE Z 22 2 25 4 10 15 (Free Flow) …

MRP-130F Pneumatic Magnet - Ixtur MRP-130F Pneumatic Magnet Company • Ixtur Ltd. is a Finnish magnet technology company established in 2010. Ixtur develops and manufactures permanent magnet based lifters, …

SAS-System-130-V2 - Ceiling Tiles UK SAS130 offers either a flush (Alugrid) or tegular (Tee Grid) finish metal ceiling, depending on aesthetic preference. Lay-in tiles are quick to mount and dismount offering simple access to …

LR 11000 - SL8F2 102m + 27m (335' + 89') - 130t + 250t 11 Jul 2024 · Carbody 130 tonnes. Superstructure 250 tonnes. Extension 0 tonnes NOT USED. PROJECT: LOCATION: BUCKNER CONTACT: C:\Buckner\Buckner Heavylift …

Hino Dutro 130 HD X-POWER - Persada Group Diameter x langkah piston Isi silinder W04D-TR Mesin Diesel 4 Langkah Segaris, Direct Injection, Turbo Charge Intercooler 130 / 2,800 PS/rpm 38 / 1,800 kg.m/rpm 4 104 x 118 mm 4,009 cc …

HS-130 Accelerometer - Hansford Sensors 130 - Industrial Vibration Sensor 1 3 0 X X X X X X X X Extra Options (if required) Y - 5% tolerance on sensitivity Sensitivity Range Resonant Frequency 010 - 10mV/g ±800g 28kHz …

End of Sale Notice ASP R6.0 expands its compatibility by enabling KVM virtualization on Red Hat Enterprise Linux (RHEL) 8.10. This new feature benefits existing customers using Dell R640s and Avaya …

SAS International Ltd System 130 - SpecifiedBy System 130 is a demountable tile, flush or tegular effect system which is particularly suitable where the simplest form of access into the ceiling void is required. Tiles are available either …

Scanning Stage SCAN IM 130 x 85 for Nikon Eclipse Ti Travel range max. 130 x 85 mm Travel speed max. 120 mm/s (with 2 mm ball screw pitch) Repeatability < 1 µm (bi-directional, measured according to VDI/DGQ 3441)

SECTION – A - WordPress.com This question paper contains 20 questions divided into five Sections A, B, C, D and E. . Section A comprises of 10 MCQs of 1 mark each. Section B comprises of 4 questions of 2 marks. each. …