Marla writes this problem: 628 divided by 1300 Which expressions represent Marla’s problem?
Select each correct answer.
A 1300628 b 1300628 C 6281300 D 1300 ÷ 628 E 628 ÷ 1300 F 6281300
The correct answer and explanation is:
The problem Marla wrote is “628 divided by 1300.” In mathematical terms, this means performing division between 628 and 1300. To express this problem in different forms, let’s break down the options:
- A) 1300 0628 – This expression does not make sense in the context of division. It looks like two numbers written together, 1300 and 0628, but it does not represent a division problem.
- B) 1300 0628 – This is essentially the same as option A, so it also does not represent the division problem.
- C) 6281300 – This expression represents the multiplication of 628 and 1300. It does not represent division, and hence is incorrect.
- D) 1300 ÷ 628 – This expression represents the division of 1300 by 628, which is the reverse of Marla’s problem. This is incorrect because the order of the numbers is swapped.
- E) 628 ÷ 1300 – This is the correct mathematical representation of Marla’s problem. The division is shown with 628 as the dividend and 1300 as the divisor.
- F) 6281300 – Like option C, this is a multiplication expression, not a division expression.
Thus, the correct answer is E) 628 ÷ 1300, as it directly represents the problem Marla wrote.
Explanation:
When performing division, the number being divided is called the dividend (628 in this case), and the number you are dividing by is called the divisor (1300). The mathematical operation for division is represented by the symbol ÷, which is the correct way to express “divided by.” In Marla’s problem, we are dividing 628 by 1300, so the proper way to express it is 628 ÷ 1300.