Verify the following- 18-7-3-18- 7-18-3-

Verify the given equationConsider LHS, 18×[7+( 3)]=18×[7 3]=18× 4=72Now consider RHS, [18× 7]+[18×( 3)]=126+[ 54]=126 54=72Thus, LHS =RHSHence proved. ...

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Byju's Answer

Standard VII

Mathematics

Integers

Verify the fo...

Question

Verify the following: $18 \times [7 + (- 3)] = [18 \times 7] + [18 \times (- 3)]$

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Solution

Verify the given equation
Consider LHS, $18 \times [7 + (- 3)]$
$= 18 \times [7 - 3]$
$= 18 \times 4$
$= 72$
Now consider RHS, $[18 \times 7] + [18 \times (- 3)]$
$= 126 + [- 54]$
$= 126 - 54$
$= 72$
Thus, LHS $=$ RHS
Hence proved.

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Similar questions

Study the pattern and answer the following:

$18 \times 1 = 18$

$18 \times 2 = 36$ (add $2$ tens and $2$ ones less than $18$ i.e. $[20 + 16]$ )

$18 \times 3 = 54$ (add $2$ tens and $2$ ones less than $36$ i.e. $[20 + 34]$ )

$18 \times 4 = 72$ (add $2$ tens and $2$ ones less than $54$ i.e. $[20 + 52]$ )

Now, continue this pattern

$18 \times 5 = . . . . . . . . . 18 \times 6 = . . . . . . . . . 18 \times 7 = . . . . . . . . . 18 \times 8 = . . . . . . . . . 18 \times 9 = . . . . . . . . . 18 \times 10 = . . . . . . . . .$

Fill in the blanks with $>, <$ or $=$

$(- 4) + (- 7)$ ____ $(- 4) - (- 7)$

Q. Verify:

(- 5) - (+ 7) = (- 12)

Q. Verify the following:

(- 13) x [(- 6) + (- 19)] = (- 13) x (- 6) + (- 13) x (- 19)

Verify that $- 5$ and $7$ are the zeroes of the polynomial $p (x) = (x + 5) (x - 7)$ .

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Verify the following: 18×7+-3=18×7+18×-3

Verify the given equationConsider LHS, 18×7+-3=18×7-3=18×4=72Now consider RHS, 18×7+18×-3=126+-54=126-54=72Thus, LHS =RHSHence proved.

Verify the following: $18 \times [7 + (- 3)] = [18 \times 7] + [18 \times (- 3)]$

Verify the given equation
Consider LHS, $18 \times [7 + (- 3)]$
$= 18 \times [7 - 3]$
$= 18 \times 4$
$= 72$
Now consider RHS, $[18 \times 7] + [18 \times (- 3)]$
$= 126 + [- 54]$
$= 126 - 54$
$= 72$
Thus, LHS $=$ RHS
Hence proved.