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3 years ago

Mention the commutativity associative and distributive properties of rational number

Mathematics

1 answer:

evablogger [386]3 years ago

6 0

Answer:

Associative property: a + (b + c), a – (b – c) ≠ (a – b) – c, a × (b × c) = (a × b) × c, and a ÷ (b ÷ c) ≠ (a ÷ b) ÷ c

When a = ½ and b = ¾

Now, for checking a × b = b × a, consider LHS and RHS.

LHS = a × b = ½ × ¾ = ⅜

RHS = b × a = ¾ × ½ = ⅜

Thus, LHS = RHS (Hence proved)

Step-by-step explanation:

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<h3>Given :-</h3>

Pranav ran 20.3 km more than Branda

Pravin ran 38.6 km

$\\ \\$

To find :

No. of kilometers did Brenda run.

$\\ \\$

No. of kilometers ran by Brenda be x.

$\\ \\$

<h3>Solution:</h3>

$\\ \\$

Equation formed:-

$\\ \\$

Total distance covered by Pravan = More distance covered by Pravan + distance covered by Brenda.

Therefore:-

$\\ \\$

$\leadsto \sf38.6 = 20.3 + x$

Write the equation

$\\ \\$

$\leadsto \sf38.6 - 20.3 =x$

When we transfer 20.3 to left side the positive sign (+) will change into negative sign (–)

$\\ \\$

$\leadsto \sf x = 38.6 - 20.3$

Arrange the equation because x is always represented at left side.

$\\ \\$

$\leadsto \boxed {\pmb{\sf x = 18.3}}\star$

After subtracting 38.6 with 20.3 we will get result as 18.3 .

$\\ \\$

$\therefore \red{ \underline{ \pmb{\frak{Distance ~ covered ~by ~Brenda~ is ~equal ~to~18.3~kilometers}}}}$

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