1 Mark Question

Question 11 Mark

Find the value of:28945 × 99 - (-28945)

Answer

We have,
28945 × 99 - (-28945)
= 2865555 - 28945
= 2894500

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Question 21 Mark

Fill in the blanks:
$\text{________}\div567=-1$

Answer

$\text{x}\div567=-1$Solution:
$\frac{\text{x}}{567}=-1$ $\text{x}=-(567\times1)$

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Question 31 Mark

Fill in the blanks:
$296\div\text{________}=-148$

Answer

$296\div-2=-148$Solution:
$\frac{296}{|-148|}={{-\frac{296}{148}}}=-2$

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Question 41 Mark

The following statements are true?
Of the two integers, if one is negative, then their product must be positive.

Answer

False.

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Question 51 Mark

Determine the following products:
125 × (-8)

Answer

We have,
(125) × (-8)
= (125 × 8)
= -1000

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Question 61 Mark

Find the value of:
$120-20\div4$

Answer

$120-20\div4$ $=120-5$$=115$

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Question 71 Mark

The following statement are true?
$-8\div(-2)=4$

Answer

True.

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Question 81 Mark

Using brackets, write a mathematical expression for of the following:Forty divided by one more than the sum of nine and ten.

Answer

$40\div\big[1+(9+10)\big]$

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Question 91 Mark

The following statement are true?
$0\div(-7)=0$

Answer

True.

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Question 101 Mark

Divide:
102 by 17

Answer

$\frac{102}{17}=\Big|\frac{102}{17}\Big|=\frac{102}{6}=6$

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Question 111 Mark

Determine the integer whose product with '-1' is:
-225

Answer

(-225) × (-1)
= +(225 × 1)
= 225

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Question 121 Mark

Determine the integer whose product with '-1' is:
58

Answer

58 × (-1)
= -(58 × 1)
= -58

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Question 131 Mark

The following statements are true?
The product of three negative integers is a negative integer.

Answer

True.

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Question 141 Mark

The following statement are true?
$0+0=0$

Answer

False.

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Question 151 Mark

The following statement are true?
$0\div4=0$

Answer

True.

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Question 161 Mark

Fill in the blanks:
$\text{________}\div156=-2$

Answer

$-312\div156=-2$
Solution:
$-(156\times2)=-312$

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Question 171 Mark

Determine the following products:
12 × 7

Answer

We have,
12 × 7 = 84
[The product of two integers of like signs is equal to the product of their absolute value]

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Question 181 Mark

Divide:
76 by -19

Answer

We have,
$\Big|\frac{76}{-19}\Big|=\frac{76}{-19}=-\frac{76}{19}=-4$

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Question 191 Mark

The following statements are true?The product of a negative and a positive integer may be zero.

Answer

False.

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Question 201 Mark

Fill in the blanks:
$-88\div\text{________}=11$

Answer

$-88\div-8=11$
Solution:
$\frac{|-88|}{11}=-\frac{88}{11}=-8$

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Question 211 Mark

Divide:
17654 by -17654

Answer

We have,
$\Big|\frac{17654}{-17654}\Big|=-\frac{17654}{17654}=-1$

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Question 221 Mark

Find the value of:
$(-2)+(-8)\div(-4)$

Answer

$(-2)+(-8)\div(-4)$
$=-2+\frac{|-8|}{|-4|}$
$=-2+2$
$=0$

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Question 231 Mark

Using brackets, write a mathematical expression for of the following:
Nine multiplied by the sum of two and five.

Answer

$9(2+5)$

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Question 241 Mark

Determine the integer whose product with '-1' is:
0

Answer

0 × (-1) = 0

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Question 251 Mark

Divide:
0 by -135

Answer

We have,
$\frac{0}{-135}=0$

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Question 261 Mark

Using brackets, write a mathematical expression for of the following:Twelve divided by nthe sum of one and three.

Answer

$12\div(1+3)$

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Question 271 Mark

Divide:
-161 by -23

Answer

We have,
$\Big|\frac{-161}{-23}\Big|=\frac{161}{23}=7$

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Question 281 Mark

The following statement are true?
$-15\div0=0$

Answer

False.

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Question 291 Mark

Using brackets, write a mathematical expression for of the following:Two multiplied by one less than the difference of nineteen and six.

Answer

$2\times\big[(19-6)-1\big]$

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Question 301 Mark

Using brackets, write a mathematical expression for of the following:Twenty divided by the difference of seven and two.

Answer

$20\div(7-2)$

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Question 311 Mark

Find the value of:
$32-(3\times5)+4$

Answer

$32-(3\times5)+4$
$=32-15+4$
$=17+4$
$=21$

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Question 321 Mark

What will be the sign of the product if we multiply together:
21 negative integers and 3 positive integer?

Answer

Negative.
$\because$ [-vex + ve = -ve]

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Question 331 Mark

What will be the sign of the product if we multiply together:
199 negative integers and 10 positive integer?

Answer

Negative.

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Question 341 Mark

The following statements are true?
The product of a positive and a negative integer is negative.

Answer

True.

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Question 351 Mark

Divide:
(-729) by (-27)

Answer

We have,
$\Big|\frac{-729}{-27}\Big|=+\frac{729}{27}=27$

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Question 361 Mark

Determine the following products:
(-25) × (-9)

Answer

We have,
(-25) × (-9)
= +(25 × 9)
= 225

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Question 371 Mark

What will be the sign of the product if we multiply together:
8 negative integers and 1 positive integer?

Answer

Positive.
$\because$ [-vex - ve = +ve]

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Question 381 Mark

Find the value of:
1487 × 327 + (-487) × 327

Answer

We have,
1487 × 327 + (-487) × 327
= 486249 - 159249
= 327000

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Question 391 Mark

Determine the following products:
(-15) × 8

Answer

We have,(-15) × 8 The product of two integers of opposite,
= (-15 × 8) signs is equal to the additive inverse of the,
= -120 product of their absolute values.

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Question 401 Mark

Find the value of:
$24+15\div3$

Answer

$24+15\div3$
$=24+5$
$=29$

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Question 411 Mark

Divide:
21590 by -10

Answer

We have,
$\frac{21590}{-10}=-\frac{21590}{10}=2159$

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Question 421 Mark

Using brackets, write a mathematical expression for of the following:Eight subtracted from the product of two and three.

Answer

$2\times3-8$

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Question 431 Mark

Find the value of:
$36\div6\div3$

Answer

$36\div6+3$
$=6+3$
$=9$

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Question 441 Mark

Fill in the blanks:
$84\div\text{________}=12$

Answer

$84\div7=12$Solution:
$\frac{84}{12}=7$

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Question 451 Mark

The following statements are true?For all non-zero integers a and b, a × b is always a greater than either a or b.

Answer

False.

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Question 461 Mark

The following statement are true?
$(-8)+(-1)=-8$

Answer

False.

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Question 471 Mark

Divide:
-85 by 5

Answer

We have,
$\Big|\frac{85}{5}\Big|=\frac{-85}{5}=-17$

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Question 481 Mark

The following statements are true?
There does not exist an integer b such that for a > 1, a × b = b × a = b.

Answer

True.

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Question 491 Mark

Fill in the blanks:
$\text{________}\div-5=25$

Answer

$125\div-5=25$Solution:
$25\times(-5)=-125$

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