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Question 141 Mark
Find each of the following products:
(-5) × (-8) × (-3)
Answer
(-5) × (-8) × (-3) = (-5) × (24) = -120
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Question 161 Mark
Write a pair of integers whose sum gives:
An integer smaller than both the integers;
Answer
Consider the integers -4 and -5. Then, we have: (-4) + (-5) = -9, which is smaller than -4 and -5.
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Question 181 Mark
Fill in the blanks:
(-26) + {(-49) + (-83) 1 = {(-26) + (-49) 1 + (…..)
Answer
53 (Commutative property)
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Question 211 Mark
Write (T) for true and (F) for false for the following statements:
(-1) ÷ (-1) = -1
Answer
False
Solution:
As (-1) ÷ (-1) = 1
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Question 221 Mark
For the following statements, write (T) for true and (F) for false:
The sum of two negative integers is a negative integer.
Answer
False.
Solution:
Example: -9 + 2 = -7
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Question 261 Mark
Fill in the blanks:
(-47) × 68 – (-47) × 38
Answer
(-47) × 68 – (-47) × 38
= (-47) × (68 – 38) [Asssociative property]
= (-47) × 30
= -1410
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Question 281 Mark
Write a pair of integers whose sum gives:
An integer greater than both the integers;
Answer
Consider the integers 2 and 6. Then, we have: 2 + 6 = 8, which is greater than both 2 and 6.
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Question 291 Mark
Which of the following statements are true and which are false?
The product of two negative integers is a negative integer.
Answer
False.
Solution:
Since the number of negative signs is even, the product will be a positive integer.
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Question 311 Mark
Write a pair of integers whose sum gives:
Zero;
Answer
Consider the integers 8 and -8. Then, we have: 8 + (-8) = 0
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Question 321 Mark
Which of the following statements are true and which are false?
The product of a positive and a negative integer is negative.
Answer
True.
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Question 381 Mark
Write (T) for true and (F) for false for the following statements:
0 ÷ (-4) = 0
Answer
True.
Solution:
Aas zero divided by non zero integer is zero.
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Question 411 Mark
What must be subtracted from -7 to obtain-15?
  1. -8
  2. 8
  3. -22
  4. 22
Answer
  1. 8
Solution:

Suppose that a is subtracted from (-7). Then, we have

-7 - a = -15

a = -7 + 15 = 8

8 must be subtracted from -7 to obtain -15.
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Question 421 Mark
For the following statements, write (T) for true and (F) for false:
The sum of two negative integers is a negative integer.
Answer
True.
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Question 441 Mark
Which of the following statements are true and which are false?
Every non zero integer has a multiplicative inverse as an integer.
Answer
False
Solution:
Every non-zero integer a has a multiplicative inverse 1/a, which is not an integer.
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Question 451 Mark
For the following statements, write (T) for true and (F) for false:
Zero is larger than every negative integer.
Answer
True
Solution:
All negative integers are less than zero.
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1 Mark Question - Maths STD 7 Questions - Vidyadip