Observe the following patterns and complete them.

If 15873 × 7 = 111111 and 15873 × 14 = 222222 then what is

15873 × 21 =? and 15873 × 28 =? ( 2 marks)

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Solution

Step 1:

Given, 15873 × 7 = 111111

∴15873 × 21= 15873 × 7 × 3
= 111111 × 3
= 33333
( 1 mark)

Step 2:

Given, 15873 × 14 = 22222

∴15873 × 28
= 15873 × 14 × 2
= 22222 × 2
= 44444 ( 1 mark)

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Similar questions

Observe the pattern and complete it.

$15873 \times 7 \times 1 = 111111$

$15873 \times 7 \times 2 = 222222$

$15873 \times 7 \times 3 = 333333$

$15873 \times 7 \times . . . . . = 444444$

$15873 \times 7 \times 5 = . . . . . . . . .$ $. . . . . . . . . . \times 7 \times 6 = 666666$

Question 76 (ii)

Write the next three rational numbers to complete the pattern:
$\frac{- 8}{7}, \frac{- 16}{14}, \frac{- 24}{21}, \frac{- 32}{28},$ ___ ___ ___

Factorize the following :

$28 a^{2} + 14 a^{2} b^{2} - 21 a^{4}$

[3]

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