Use distributivity to simplify - - 25- 38 - 25

We know that the distributive property is a(b+c)=ab+ac 25×( 38 25)= (25)( 38)+( 25)25 = (320)+10 = 3+20020 =19720 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Operations on Rational and Irrational Numbers

Use distribut...

Question

Use distributivity to simplify :
$- \frac{2}{5} \times (\frac{3}{8} - 25)$

Open in App

Solution

we know that the distributive property is $a (b + c) = a b + a c$

$- \frac{2}{5} \times (\frac{3}{8} - 25) = - (\frac{2}{5}) (\frac{3}{8}) + (\frac{2}{5}) 25$

$= - (\frac{3}{20}) + 10$

$= \frac{- 3 + 200}{20}$

$= \frac{197}{20}$

Suggest Corrections

Similar questions

Simplify the following using distributive property;
(i). $\frac{2}{5} (\frac{1}{9} + \frac{2}{5})$ (ii). $\frac{5}{12} (\frac{25}{9} + \frac{32}{5})$ (iii). $\frac{8}{9} (\frac{11}{2} + \frac{2}{9})$

Simplify using commutative and distributive property:

(- 8) \times 3 - 2 \times 8 = . . . . .

Q. Question 111(ii)
Use the distributivity of multiplication of rational numbers over addition to simplify.

\frac{- 5}{4} \times [\frac{8}{5} + \frac{16}{15}]

Simplify using distributive property:

[5 \times (6)] + [5 \times 3] =

. . . . .

Q. Simplify:

\frac{[(- 5)^{3}]^{4} \times 8^{2}}{4^{3} \times (25)^{5}}

Join BYJU'S Learning Program

Use distributivity to simplify :−25×(38−25)

we know that the distributive property is a(b+c)=ab+ac−25×(38−25)=−(25)(38)+(25)25=−(320)+10=−3+20020=19720

Use distributivity to simplify :
$- \frac{2}{5} \times (\frac{3}{8} - 25)$

we know that the distributive property is $a (b + c) = a b + a c$

$- \frac{2}{5} \times (\frac{3}{8} - 25) = - (\frac{2}{5}) (\frac{3}{8}) + (\frac{2}{5}) 25$

$= - (\frac{3}{20}) + 10$

$= \frac{- 3 + 200}{20}$

$= \frac{197}{20}$