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Question 11 Mark
Find the value of: $28945 \times 99 - (-28945)$
Answer
We have, $28945 \times 99 - (-28945) = 2865555 - 28945 = 2894500$
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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: $125 \times (-8)$
Answer
We have, $(125) \times (-8) = (125 \times 8) = -1000$
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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 111 Mark
Determine the integer whose product with $'-1'$ is:
$-225$
Answer
$(-225) \times (-1)$
$= +(225 \times 1)$
$= 225$
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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 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:
$12 \times 7$
Answer
We have,
$12 \times 7 = 84$
$[$The product of two integers of like signs is equal to the product of their absolute value$]$
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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 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 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 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 321 Mark
What will be the sign of the product if we multiply together:
$21$ negative integers and $3$ positive integer$?$
Answer
Negative.
$\because \text{[-vex + ve = -ve]}$
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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 361 Mark
Determine the following products: $(-25) \times (-9)$
Answer
We have, $(-25) \times (-9) = +(25 \times 9) = 225$
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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. $\because \text{[-vex - ve = +ve]}$
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Question 381 Mark
Find the value of: $1487 \times 327 + (-487) \times 327$
Answer
We have, $1487 \times 327 + (-487) \times 327$
$= 486249 - 159249 = 327000$
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Question 391 Mark
Determine the following products: $(-15) \times 8$
Answer
We have,$(-15) \times 8$ The product of two integers of opposite,
$= (-15 \times 8)$ signs is equal to the additive inverse of the,
$= -120$ product of their absolute values.
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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 451 Mark
The following statements are true?For all non-zero integers $a$ and $b, a \times b$ is always a greater than either $a$ or $b.$
Answer
False.
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Question 481 Mark
The following statements are true? There does not exist an integer b such that for $a > 1, a \times b = b \times a = b.$
Answer
True.
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Question 701 Mark
Ravish had 35 pencils with him. He starts distributing pencils to his classmates. How many pencils are left with him if he distributes 4 pencils each to 8 to her classmates?
Answer
3
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Question 711 Mark
Subtracting - 5 from the product of two integers we obtain - 100. If one of the integers is -7, what is the other?
Answer
15
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Question 721 Mark
I was 3 km west of my home. Now, I am 4 km east of my home. How many kilometers did I travel?
Answer
7 KM
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