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MATHS BLANKS [1 Marks Each]

Integers · Rajasthan Board (RBSE) STD 6 (Rajasthan - English Medium). 16 questions.

Questions

BLANKS [1 Marks Each]

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16 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
_______ $-3456 = -8910$
Answer
Let $x$ be the missing number, then $x - 3456 = -8910$
$= > x = -8910 + 3456 = -5454$
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Question 31 Mark
The additive inverse of $0$ is _______ .
Answer
We know that, additive inverse of an integer is obtained by changing the sign of the integer. But $0$ is neither positive nor negative.
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Question 51 Mark
$(-2) + (-5) + (-6)$ _______ $(-3) + (-4) + (-6)$
Answer
$LHS = (-2) + (-5)+ (-6) = -2 - 5 - 6 = -(2 + 5 + 6) = -13 $
$RHS = (-3) + (-4) + (-6) = -3 - 4 - 6 = -(3 + 4 + 6) = -13$
On comparing $LHS$ and $RHS,$
we observe that $-13 = -13.$
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Question 61 Mark
The number of integers lying between $-5$ and $5$ is _______ .
Answer
The integers lying between $-5$ and $5$ are $-4, -3, -2, -1, 0, 1, 2, 3$ and $4.$ The number of integers lying between $-5$ and $5$ is $9.$
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Question 71 Mark
The additive inverse of $14$ is _______ .
Answer
We know that, additive inverse of an integer is obtained by changing the sign of the integer.
$\therefore$ The additive inverse of $14$ is $-14.$
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Question 81 Mark
$-10 $_______ $-11.$
Answer
Because, on a number line, if we move to the left of zero, then smaller numerical values are greater than larger numerical values.
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Question 91 Mark
$1 + 2 + 3 $_______$ (-1) + (-2) + (-3)$
Answer
$LHS = 1 + 2 + 3 = 6$
$RHS = (-1) 4 (-2) + (-3) = -1 - 2 - 3 = -(1 + 2 + 3) = -6$
On comparing $LHS$ and $RHS,$ we observe that $6 > -6.$
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Question 101 Mark
$-101$ _______ $-102$
Answer
Because on a number line, if we move to the left of zero, then smaller numerical values are greater than larger numerical values.
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Question 111 Mark
$(-11) + (-2) + (-1) =$ _______ .
Answer
$(-11) + (-2) + (-1) = -11 -2 -1 = -(11 + 2 + 1) = -14$
Note: For adding integers with like signs, we add their numerical values and place the common sign before the sum.
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Question 121 Mark
$(-71) + (+9) $_______$ (-81) + (-9)$
Answer
$LHS = (-71) + (+ 9) = -71 + 9 = -62$
$RHS = (-81) + (-9) = -81 - 9 = -90$
On comparing $LHS$ and $RHS,$ we observe that $-62 > -90.$
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Question 131 Mark
$0$ _______ $1$
Answer
Clearly, $0$ is less than $1$, i.e. $1$ is greater than $0.$ Note All positive integers are greater than zero.
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Question 141 Mark
_______ $+ (-11) + 111 = 130$
Answer
Let $x$ be the missing number, then:
$x + (-11) + 111 = 130$
$= > x -11 + 111 = 130$
$x = 130 -111 + 11= 30a$
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Question 151 Mark
$0$ _______ $-2$
Answer
 We know that, all positive integers are greater than $0.$
So, $0$ is less than $2.$
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Question 161 Mark
$(-11) + (-15)$ _______ $11 + 15.$
Answer
$ LHS = (-11) + (-15) = -11 -15 = -(11 + 15) = -26$
$RHS = 11 + 15 = 26$
On comparing $LHS$ and $RHS,$ we observe that $–26 < 26.$
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