A four-digit number abcd is divisible by 11, if d + b = _______ or _____. Fill in the blank to make the statement true

Solution:

A four digit number abcd is divisible by 11 is d + b = a + c or 11 + (a + c) = 11.

Stated in words a number is divisible by 11 if the difference of the sum of digits in odd places and the sum of digits in even places is either zero or 11

✦ Try This: A six-digit number abbacc is always divisible by _______ because _______ . Fill in the blank to make the statement true

The six digit number is always divisible by 11 because the sum of digits in the odd places is same as the sum of digits in the even places. Their difference will always be zero.

a + b + c = b + a + c

A six-digit number abbacc is always divisible by 11 because a + b + c = b + a + c

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16

NCERT Exemplar Class 8 Maths Chapter 13 Problem 28

A four-digit number abcd is divisible by 11, if d + b = _______ or _____. Fill in the blank to make the statement true

Summary:

A four digit number abcd is divisible by 11 is if d + b = a + c or (d + b) - (a + c) = 11

☛ Related Questions:

• A number is divisible by 11 if the differences between the sum of digits at its odd places and that . . . .
• If a 3-digit number abc is divisible by 11, then ______ is either 0 or multiple of 11. Fill in the b . . . .
• If A × 3 = 1A, then A = ______. Fill in the blank to make the statement true