Home > Prealgebra > Divisibility and Factors

How do you write down the remainder when 998 is divided by 37?

Answer 1

Remainder is #36#

We do the long division for dividing #998# by #37#

#color(white)(Xxxxxx)2 color(white)(X)6# #color(white)(xx) 37| bar(9color(white)(x)9color(white)(x)8# #color(white)(xxxxx)ul(7color(white)("x)4)color(red)(darr# #color(white)(xxxxx)2color(white)(x)5 color(white)(x) "8"# #color(white)(xxxxx)ul(2color(white)(x)2color(white)(x)2) # #color(white)(xxxxxxx)3color(white)(x)6#

and hence

we get a remainder of #36# when we divide #998# by #37#.

We can also write it as #998=37xx26+36#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Aurora Arias

To find the remainder when 998 is divided by 37, we use the division algorithm.

Divide 998 by 37:

[998 \div 37 = 27]

Multiply the quotient (27) by the divisor (37):

[27 \times 37 = 999]

Subtract the product from the dividend:

[998 - 999 = -1]

Since the remainder must be a positive integer, we adjust the divisor:

[999 - 37 = 962]

So, the remainder when 998 is divided by 37 is 27.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.