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a number divided by 40 has a quotient of 6 with a remainder of 16.

Sagot :

To find out the number you can multiply 40 by 6 and then add 16:

40 * 6 + 16 =
= 240 + 16 =
= 256

256 / 40 = 6 with a remainder of 16

I hope it will help you :)

The number =  [tex]\boxed{\bold{256}}[/tex]

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are [tex]\large{\boxed{:}}}[/tex] or [tex]\large{\boxed{\slash}}[/tex]

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

[tex]\large{\boxed{\bold{divident:divisor=quotient+remainder}}[/tex]

example:

7: 3 = 2 + 1

  • 7 = dividend
  • 3 = divisor
  • 2 = quotient
  • 1 = remainder

Division operation statement:

"7 divided by 3 equals 2 remainder 1

The form of division can also be expressed in terms of fractions

In the number above, the form of fraction obtained is the form of mixed fractions

[tex]\displaystyle \frac{7}{3} =2\frac{1}{3}[/tex]

Mixed fractions consist of whole number and proper fractions

From the task

a number divided by 40 has a quotient of 6 with a remainder of 16.

we translate this sentence into division operation, :

x(number) : 40 = 6 + 16

We can solve this with 2 way :

  • 1. find the number by multiplying

divident = divisor x quotient + remainder

divident = 40 x 6 + 16

divident = [tex]\boxed{\bold{256}}[/tex]

  • 2. make a mixed fraction

⇒quotient as whole number

⇒remainder as numerator

⇒divisor as denominator

the form of mixed fraction is :

[tex]\displaystyle =\:6\frac{16}{40}[/tex]

divident = whole number x denominator + numerator

divident = 6 x 40 + 16

divident = 256

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Keywords: division, mixed fraction, dividend , divisor , quotient, remainder

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