Q1) If the integers 12,-6, 8,-5, 7,-4, 3 are marked on the number line, the one
that comes on the extreme left is:
Q2)The difference in temperatures +500C and -500C is:
Q3)The integer x for which |1-x| =3 is
Q4)The numbers between -30 and -15 are :
Q5)Multiplicative identity for any integer a is:
ܽ
Q6) Represent each of the following integers on the number line:
Q7) The sum of two integers is ( -11).If one of them is 72 ,find the other
number.
Q8) Using quicker grouping, find the product of :
(a) 16x 20 x ( -25) (b) ( -125) x 17 x (-8) (c) (-50) x( -41) x12
(d) (-25) x 36 x 80 (e) (-700) x 49 + (-700)
(f) (-562) x 96 + (-562) x 4
Answers
ANSWER 1):
We know that, in a number line, the number lying on the left is the smallest and the number lying on the right is the biggest.
Simply put, the numbers on a number line are arranged in ascending order from left to right.
⇒Original Sequence : 12,-6, 8,-5, 7,-4, 3
So, if we arrange the given numbers in ascending order,
⇒-6, -5, -4, 3, 7, 8, 12
Hence, the number which comes on the extreme left on the number line is (-6).
ANSWER 2):
⇒Temperature 1 = +500°C
⇒Temperature 2 = -500°C
So,
⇒Difference = (Temperature 1) - (Temperature 2)
Hence,
⇒Difference = (500°C) - (-500°C)
⇒Difference = 500°C + 500°C
⇒Difference = 1000°C
Hence, the difference between +500°C and -500°C is 1000°C.
ANSWER 3):
We are given that,
⇒|1 - x| = 3.
So, we know that,
⇒|a| = +a, -a
Hence,
⇒|1 - x| = +(1 - x), -(1 - x)
So,
⇒(1 - x) = 3
⇒1 - 3 = x
⇒x = -2
And,
⇒-(1 - x) = 3
⇒-1 + x = 3
⇒x = 3 + 1
⇒x = 4
Therefore, for x = -2 and 4, |1 - x| = 3.
ANSWER 4):
The numbers between -30 and -15 are,
⇒-29, -28, -27 -26, -25, -24, -23, -22, -21, -20, -19, -18, -17 and -16.
ANSWER 5):
The multiplicative identity property states that any time you multiply a number by 1, the result, or product, is that original number.
So, Multiplicative Identity of an integer, a, is 1 only.
ANSWER 6):
Incomplete question
ANSWER 7):
⇒Sum of 2 integers = -11
⇒One integer = 72
Let the other integer be x.
So,
⇒x + 72 = -11
⇒x = -11 - 72
⇒x = -83
Hence, the other number is -83.
ANSWER 8):
a) 16 × 20 × ( -25)
⇒16 × (20 × -25)
⇒16 × (-500)
⇒-8000
b) ( -125) × 17 × (-8)
⇒(-125 × -8) × 17
⇒1000 × 17
⇒17000
c) (-50) × (-41) × 12
⇒(-50 × 12) × -41
⇒-600 × -41
⇒24600
d) (-25) × 36 × 80
⇒(-25 × 80) × 36
⇒-2000 × 36
⇒-72000
e) (-700) × 49 + (-700)
⇒(-700 × 49) + (-700 × 1)
⇒(-700) × (49+1)
⇒-700 × 50
⇒-35000
f) (-562) × 96 + (-562) x 4
⇒(-562) × (96+4)
⇒-562 × 100
⇒-56200
Answer:
l don't know how to use it