Question

Find the value of $999 \dfrac{1}{7}+999 \dfrac{2}{7}+999 \dfrac{3}{7}+999 \dfrac{4}{7}+999 \dfrac{5}{7}+999 \dfrac{6}{7}$
A) 2997
B) 5997
C) 5979
D) 5994

Answer 1

Hint:
The four basic mathematical operations addition, subtraction, multiplication, and division have application even in the most advanced mathematical theories. Thus, mastering them is one of the keys to progressing in an understanding of math and, specifically, of algebra. Essentially, to multiply numbers is to add groups of a number. Multiplying means repeated addition of a number. (The number must all be the same before we can use it to multiply.). In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

Complete step by step solution:
When we complete a mathematical number sentence involving several different operations then BODMAS helps you to know which order to complete them in.
Anything in Brackets should be completed first, then the orders, followed by any division or multiplication and finally addition or subtraction.
If there are multiple operations at the same level on the order of operations, move from left to right. you work like this: First notice that there are no Parentheses or Exponents, so we move to Multiplication and Division. Within a set of parentheses, the order of operations should be followed. Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to perform multiplication and division from left to right. Next, add and subtract from left to right.
$999 \left( \dfrac{1}{7} + \dfrac{2}{7} + \dfrac{3}{7} + \dfrac{4}{7} + \dfrac{5}{7} + \dfrac{6}{7} \right)$
$=999 (\dfrac{21}{7})$
$=999(3)$
$=2997$

Hence, the correct answer is option A.

Note:
Addition (usually signified by the plus symbol $+$ is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined. Addition belongs to arithmetic, a branch of mathematics. But it represents the concept of equality - when one thing is mathematically the same as another which is one of the most important math concepts ever created. A mathematical statement with an equal’s sign is an equation.
In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less. The minuend, subtrahend and difference are parts of a subtraction problem.