rational numbers

List 4 rational numbers between -2 and -1

Answer explanation

multiply and divide by (n+1) i.e., 5

-2 x 5/5 = -10/5

-1 x 5/5 = -5/5

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Write four more rational numbers in the following pattern

(i) -3/5, -6/10, -9/15, -12/20, …..

Tags

CCSS.4.OA.C.5

Draw the number line and represent ¾ on it:

Answer explanation

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Standard form of -15/40

• 15/(-40)

• 15/40

• 3/8

• -3/8

Find:

• -2 7/3

• -11/7

• -17/7

• -7/17

does the following pair represents the same rational number? (-7/21) and (3/9)

• yes

• no

Answer explanation

-7/21 = 3/9

-1/3 = 1/3

∵ -1/3 ≠ 1/3

∴ -7/21 ≠ 3/9

So, the given pair does not represent the same rational number.

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Which is greater in the following: -5/6, -4/3

• -5/6

• -4/3

Answer explanation

The LCM of the denominators 6 and 3 is 6

∴ (-5/6) = [(-5 × 1)/ (6 × 1)] = (-5/6)

And (-4/3) = [(-4 × 2)/ (3 × 2)] = (-12/6)

Now,

-5 > -12

So, (-5/6) > (- 12/6)

∴ -5/6 > -12/6

Hence, – 5/6 is greater.

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Write the following rational numbers in ascending order: -1/3, -2/9, -4/3

• -1/3, -2/9, -4/3

• -2/9, -1/3, -4/3

• -4/3, -1/3, -2/9

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

The sum of rational number -1/3 and its reciprocal =

• 0

• 1

• -10/3

• -3/10

Tags

CCSS.7.NS.A.1B

find the sum of (-8/19) + (-2/57)

Tags

CCSS.7.NS.A.1C