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Byju's Answer
Standard VII
Mathematics
Addition of Integers using the Chip Model
If -9 +-10 = ...
Question
If
−
9
+
(
−
10
)
=
x
, then which of the following is(are) true for the value of
x
?
A
−
1
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B
Negative
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C
Positive
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D
−
19
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E
1
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Solution
The correct option is
D
−
19
Consider, one red chip is equivalent to
−
1
.
Need to find:
–
––––––––––––––
–
Value of
x
,
such that
−
9
+
(
−
10
)
=
x
To get the value of
−
9
+
(
−
10
)
,
we need to add
−
9
and
−
10
, i.e., we need to add
9
red chips and
10
red chips as one red chip is equivaluent to
−
1
.
From the above illustration, it is clear that after adding
9
and
10
red chips, we get
19
red chips in-total, which are equivalent to
−
19
.
∴
−
9
+
(
−
10
)
=
−
19
=
x
So,
x
=
−
19
,
which is negative.
Note:
–
–––––
–
The addition of two negative numbers results in a negative number always.
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