Using the distributive properties- simplify the following-17- 438- 6-13- 438-438- 11

Simplifying the given expression17× 438× 6 13× 438+438× 11 =438(17× 6 13+11) [By using distributive property] =438(102 13+11)=438(113 13 ...

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Standard VII

Mathematics

Introduction to Integers

using the dis...

Question

using the distributive properties, simplify the following:
$17 \times 438 \times 6 - 13 \times 438 + 438 \times 11$

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Solution

Simplifying the given expression
$17 \times 438 \times 6 - 13 \times 438 + 438 \times 11$
$= 438 (17 \times 6 - 13 + 11)$ $[B y u \sin g d i s t r i b u t i v e p r o p e r t y]$
$= 438 (102 - 13 + 11)$
$= 438 (113 - 13)$
$= 438 \times 100$
$= 43800$
Hence, $17 \times 438 \times 6 - 13 \times 438 + 438 \times 11 = 43800$

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using the distributive properties, simplify the following:17×438×6-13×438+438×11

Simplifying the given expression17×438×6-13×438+438×11 =438(17×6-13+11) Byusingdistributiveproperty =438(102-13+11)=438(113-13)=438×100=43800Hence, 17×438×6-13×438+438×11=43800

using the distributive properties, simplify the following:
$17 \times 438 \times 6 - 13 \times 438 + 438 \times 11$