Complete the following multiplication table-12-9-8-6-50568912-12 -9 -8 -6 -5 0 5 6 8 9 12 Hence- fill in the blank with the sign - or -9- -5-9-00ex0ex

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Byju's Answer

Standard VI

Mathematics

Rational Numbers on a Number Line

Complete the ...

Question

Complete the following multiplication table.
$\times$ $- 12$ $- 9$ $- 8$ $- 6$ $- 5$ $0$ $5$ $6$ $8$ $9$ $12$
$- 12$
$- 9$
$- 8$
$- 6$
$- 5$
$0$
$5$
$6$
$8$
$9$
$12$
Hence, fill in the blank with the sign $>, < o r =$
$(- 9) \times (- 5) . . . . . . . (- 9) \times (0)$

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Solution

$\times$ $- 12$ $- 9$ $- 8$ $- 6$ $- 5$ $0$ $5$ $6$ $8$ $9$ $12$
$- 12$ $144$ $108$ $96$ $72$ $60$ $0$ $- 60$ $- 72$ $- 96$ $- 108$ $- 144$
$- 9$ $108$ $81$ $72$ $54$ $45$ $0$ $- 45$ $- 54$ $- 72$ $- 81$ $- 108$
$- 8$ $96$ $72$ $64$ $48$ $40$ $0$ $- 40$ $- 48$ $- 64$ $- 72$ $- 96$
$- 6$ $72$ $54$ $48$ $36$ $30$ $0$ $- 30$ $- 36$ $- 48$ $- 54$ $- 72$
$- 5$ $60$ $45$ $40$ $30$ $25$ $0$ $- 25$ $- 30$ $- 40$ $- 45$ $- 60$
$0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$
$5$ $- 60$ $- 45$ $- 40$ $- 30$ $- 25$ $0$ $25$ $30$ $40$ $45$ $60$
$6$ $- 72$ $- 54$ $- 48$ $- 36$ $- 30$ $0$ $30$ $36$ $48$ $54$ $72$
$8$ $- 96$ $- 72$ $- 64$ $- 48$ $- 40$ $0$ $40$ $48$ $64$ $72$ $96$
$9$ $- 108$ $- 81$ $- 72$ $- 54$ $- 45$ $0$ $45$ $54$ $72$ $81$ $108$
$12$ $- 144$ $- 108$ $- 96$ $- 72$ $- 60$ $0$ $60$ $72$ $96$ $108$ $144$
$(- 9) \times (- 5) . . . . . . . (- 9) \times (0) = 45 > 0$
Thus, $45$ is greater than $0$ .
Hence, $(- 9) \times (- 5) > (- 9) \times (0)$ .

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Similar questions

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

$\frac{7}{12} + \frac{8}{9} - \frac{5}{6}$

Verify each of the following :

(i) $\frac{3}{7} \times \frac{- 5}{9} = \frac{- 5}{9} \times \frac{3}{7}$

(ii) $\frac{- 8}{7} \times \frac{13}{9} = \frac{13}{9} \times \frac{- 8}{7}$

(iii) $\frac{- 12}{5} \times \frac{7}{- 36} = \frac{7}{- 36} \times \frac{- 12}{5}$

(iv) $- 8 \times \frac{- 13}{12} = \frac{- 13}{12} \times (- 8)$

Q. Write the proper sign, < or >, in the empty boxes.

(1)

+ 1 + 6

(2)

- 8 - 5

(3)

- 5 - 8

(4)

- 2 + 3

(5)

+ 3 - 2

(6)

- 1 + 1

(7)

0 - 7

(8)

- 4 + 4

(9)

+ 2 - 6

(10)

- 3 0

(11)

- 6 + 5

(12)

0 + 7

Q. Tell how many times!

9 + 9 + 9 + 9 + 9 + 9	= 6 × 9	= 54
4 + 4 + 4 + 4 + 4	= 5 × 4	= 20
8 + 8 + 8	=____ × 8	= ____
3 + 3 + 3 + 3 + 3	= 5 × ____	= ____
30 + 30 + 30	= ____ × ____	= ____
7 + 7 + 7 + 7 + 7 + 7	= ____ × ____	= ____
12 + 12 + 12 + 12	= ____ × 12	= ____
6 + 6 + 6	= ____ × ____	= ____
10 + 10 + 10 + 10	= ____ × ____	= ____
2 + 2 + 2 + 2 + 2	= ____ × ____	= ____
6 + 6 + 6 + 6 + 6 + 6 + 6	= ____ × ____	= ____

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$\times$	$- 12$	$- 9$	$- 8$	$- 6$	$- 5$	$0$	$5$	$6$	$8$	$9$	$12$
$- 12$
$- 9$
$- 8$
$- 6$
$- 5$
$0$
$5$
$6$
$8$
$9$
$12$

Complete the following multiplication table.×-12-9-8-6-50568912-12 -9 -8 -6 -5 0 5 6 8 9 12 Hence, fill in the blank with the sign >,<or=(-9)×(-5).......(-9)×(0)

Complete the following multiplication table.
$\times$ $- 12$ $- 9$ $- 8$ $- 6$ $- 5$ $0$ $5$ $6$ $8$ $9$ $12$
$- 12$
$- 9$
$- 8$
$- 6$
$- 5$
$0$
$5$
$6$
$8$
$9$
$12$
Hence, fill in the blank with the sign $>, < o r =$
$(- 9) \times (- 5) . . . . . . . (- 9) \times (0)$