Multiplication of Integers: Exercise:1

Multiplication of Integers: Exercise:1

Problems on Multiplication of two positive Integers

Question: (1) Multiply 10 and 12

Solution:

Here both of the given integers are positive, thus simply multiply them

10 × 12

= 120 Answer

Since both of the integers are positive, thus product will be positive

Question: (2) Multiply 10 and 13

Solution:

Here both of the given integers are positive, thus simply multiply them

10 × 13

= 130 Answer

Since both of the integers are positive, thus product will be positive

Question: (3) Multiply 11 and 12

Solution:

Here both of the given integers are positive, thus simply multiply them

11 × 12

=132 Answer

Since both of the integers are positive, thus product will be positive

Question: (4) Multiply 12 and 13

Solution:

Here both of the given integers are positive, thus simply multiply them

12 × 13

= 156 Answer

Since both of the integers are positive, thus product will be positive

Question: (5) Multiply 16 and 10

Solution:

Here both of the given integers are positive, thus simply multiply them

16 × 10

= 160 Answer

Since both of the integers are positive, thus product will be positive

Problems on Multiplication of two integers when one integer is positive and other one is negative

Question: (6) Multiply –10 and 11

Solution:

Simply multiply given integers without taking their signs into consideration.

10 × 11=110

Now, since one of the given integer is negative, thus put a negative sign before the product.

= –110 Answer

Since one of the integer is negative hence product will be negative

∴ – 10 × 11 = – 110 Answer

Question: (7) Multiply –12 and 11

Solution:

Simply multiply given integers without taking their signs into consideration.

12 × 11 = 132

Now, since one of the given integer is negative, thus put a negative sign before the product.

= –132

Since one of the integer is negative hence product will be negative

∴ –12 × 11 = –132 Answer

Question: (8) Multiply – 11 and 16

Solution:

Simply multiply given integers without taking their signs into consideration.

11 × 16 = 176

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 176

Since one of the integer is negative hence product will be negative

∴ –11 × 16 = –176 Answer

Question: (9) Multiply –12 and 17

Solution:

Simply multiply given integers without taking their signs into consideration.

12 × 17 = 204

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 204

Since one of the integer is negative hence their product will be negative

∴ –12 × 17 = –204 Answer

Question: (10) Multiply –14 and 11

Solution:

Simply multiply given integers without taking their signs into consideration.

14 × 11 = 154

Now, since one of the given integer is negative, thus put a negative sign before the product.

= –154

Since one of the integer is negative hence their product will be negative

–14 × 11 = –154 Answer

Question: (11)Multiply –18 and 22

Solution:

Simply multiply given integers without taking their signs into consideration.

18 × 22 = 396

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 396

Since one of the integer is negative hence their product will be negative

– 18 × 22 = – 396 Answer

Question: (12) Multiply –12 and 35

Solution:

Simply multiply given integers without taking their signs into consideration.

–12 × 35 = 420

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 420

Since one of the integer is negative hence their product will be negative

∴ –12 × 35 = –420 Answer

Question: (13) Multiply –18 and 70

Solution:

Simply multiply given integers without taking their signs into consideration.

18 × 70 = 1260

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 1260

Since one of the integer is negative hence their product will be negative

∴ –18 × 70 = –1260 Answer

Question: (14) Multiply –17 and 27

Solution:

Simply multiply given integers without taking their signs into consideration.

17 × 27 = 459

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 459

Since one of the integer is negative hence their product will be negative

∴ –17 × 27= –459 Answer

Question: (15) Multiply –22 and 25

Solution:

Simply multiply given integers without taking their signs into consideration.

22 × 25 = 1210

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 1210

∴ –22 × 25 = –1210 Answer

Since one of the integer is negative hence their product will be negative

Question: (16) Multiply –35 and 15

Solution:

Simply multiply given integers without taking their signs into consideration.

35 × 15 = 525

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 525

∴ –35 × 15 = –525 Answer

Since one of the integer is negative hence their product will be negative

Question: (17) Multiply –15 and 45

Solution:

Simply multiply the given integer instead of their sign

15 × 45 = 675

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 675

Since one of the integer is negative hence their product will be negative

∴ –15 × 45 = –675 Answer

Question: (18) Multiply –25 and 35

Solution:

Simply multiply the given integer instead of their sign

25 – 35 = 875

Now, since one of the given integer is negative, thus put a negative sign before the product.

= –875

∴ –25 × 35 = –875 Answer

Since one of the integer is negative hence their product will be negative

Question: (19) Multiply –101 and 25

Solution:

Simply multiply the given integers without taking their signs into consideration

101 × 25 = 2525

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 2525

Since one of the integer is negative hence their product will be negative

∴ –101 × 25 = –2525 Answer

Question: (20) Multiply –117 and 21

Solution:

Simply multiply the given integers without taking their signs into consideration

117 × 21 = 2457

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 2457

Since one of the integer is negative hence their product will be negative

∴ –117 × 21 = – 2457 Answer

Question: (21) Multiply 22 and –12

Solution:

Simply multiply the given integers ignoring their sign

22 × 12 = 264

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 264

Since one of the integer is negative hence their product will be negative

∴ 22 × (– 12) = – 264 Answer

Question: (22) Multiply 12 and –25

Solution:

Simply multiply the given integers ignoring their sign

12 × 25 = 300

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 300

Since one of the integer is negative hence their product will be negative

∴ 12 × (– 25) = – 300 Answer

Question: (23) Multiply 16 and –29

Solution:

Simply multiply the given integers ignoring their sign

16 × 29 = 464

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 464

Since one of the integer is negative hence their product will be negative

∴ 16 × (– 25) = – 464 Answer

Question: (24) Multiply 25 and (–18)

Solution:

Simply multiply the given integers ignoring their sign

25 × 18 = 450

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 450

Since one of the integer is negative hence their product will be negative

∴ 25 × (– 18) = – 450 Answer

Question: (25) Multiply 28 and (–12)

Solution:

Simply multiply the given integers ignoring their sign

28 × 12 = 336

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 336

Since one of the integer is negative hence their product will be negative

∴ 28 × (– 12) = – 336 Answer

Question: (26) Multiply 25 and –25

Solution:

Simply multiply the given integers ignoring their sign

25 × 25 = 625

Now, since one of the given integer is negative, thus put a negative sign before the product.

= – 625

Since one of the integer is negative hence their product will be negative

∴ 25 × (– 25) = – 625 Answer

Multiplication of two negative integers

Question: (27) Multiply – 11 and – 5

Solution:

Simply multiply the given integers ignoring their sign

11 × 5 = 55

Since both of the integers are negative, thus their product will be positive.

∴ – 11 × –5 = 55 Answer

Question: (28) Multiply – 12 and – 51

Solution:

Simply multiply the given integers ignoring their sign

12 × 51 = 612

Since both of the integers are negative, thus their product will be positive.

∴ –12 × – 51 = 612 Answer

Question: (29) Multiply – 127 and – 25

Solution:

Simply multiply the given integers ignoring their sign

127 × 25 = 3175

Since both of the integers are negative, thus their product will be positive.

∴ – 127 × – 25 = 3175 Answer

Question:(30) – 17 × –12

Solution:

Simply multiply the given integers without taking their signs into consideratio.

17 × 12 = 204

Since both of the integers are negative, thus their product will be positive.

∴ –17 × –12 = 204 Answer

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