Verify- 86- 55- 110-86- 55- 110

Verifying the given expressionThe given expression is (86× 55)× 110=86× (55× 110)[ LHS = (86× 55)× 110; = 47 ...

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Standard VII

Mathematics

Properties of Integers under Multiplication

Verify: 86× 5...

Question

Verify: $(86 \times 55) \times 110 = 86 \times (55 \times 110)$

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Solution

Verifying the given expression
The given expression is $(86 \times 55) \times 110 = 86 \times (55 \times 110)$
$\begin{array}{rcl} L H S & = & (86 \times 55) \times 110 \\ = & 4730 \times 110 \\ = & 520300 \end{array}$
Also,
$\begin{array}{rcl} R H S & = & 86 \times (55 \times 110) \\ = & 86 \times 6050 \\ = & 520300 \end{array}$
As, $L H S = R H S$ , the given expression is verified.

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Similar questions

Q. If

\int \frac{1}{(x + 2) (x^{2} + 1)} d x = a \log |1 + x^{2}| + b \tan^{- 1} x + \frac{1}{5} \log |x + 2| + C

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(a) a = - \frac{1}{10}, b = - \frac{2}{5} (b) a = \frac{1}{10}, b = - \frac{2}{5} (c) a = - \frac{1}{10}, b = \frac{2}{5} (d) a = \frac{1}{10}, b = \frac{2}{5}

The table given here shows the number of calories contained in one serving of student's favourite cereals.

Number of calories per serving of cereals

$70$	$120$	$100$	$100$	$140$
$70$	$120$	$100$	$100$	$100$
$110$	$100$	$110$	$120$	$100$
$110$	$100$	$100$	$110$	$150$
$90$	$110$	$120$	$110$	$100$
$140$	$130$	$100$	$80$	$100$
$100$	$110$	$80$	$90$	$110$

How many calories are in one serving of most of the cereals?

Study the pattern and answer the following:

$15 \times 15 = 225 25 \times 25 = 625 35 \times 35 = 1225 45 \times 45 = 2025$

$55 \times 55 = . . . . 25 65 \times 65 = . . . . 25 75 \times 75 = . . . . 25 85 \times 85 = . . . . 25 95 \times 95 = . . . . 25 105 \times 105 = . . . . 25$

Q. Solve each of the following equation and also verify your solution:

\frac{7}{x} + 35 = \frac{1}{10}

Q. Evaluate

{log}_{10} (\frac{351}{539}) + 2 {log}_{10} (\frac{91}{110}) = 3 {log}_{10} (\frac{39}{110})

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Verify: (86×55)×110=86×(55×110)

Verifying the given expressionThe given expression is (86×55)×110=86×(55×110)LHS=(86×55)×110=4730×110=520300Also,RHS=86×(55×110)=86×6050=520300As, LHS=RHS, the given expression is verified.

Verify: $(86 \times 55) \times 110 = 86 \times (55 \times 110)$