What is the relationship among the numbers and symbols in the expression (14 – 4) ÷ 2?
Choose all answers that are correct.
A.
The difference between 14 and 4 is doubled.
B.
The difference between 14 and 4 is split into 2 parts.
C.
The expression has a value equal to half as much as 14 minus 4.
D.
The expression has a value that is twice as much as 14 minus 4.
hint: there is no multiplication involved; only division
The correct answers are A and C.
To find the relationship among the numbers and symbols in the expression (14 – 4) ÷ 2, we need to break it down step by step.
First, we have the operation inside the parentheses, 14 – 4. This represents the difference between 14 and 4, which is 10.
Next, we have the division symbol, ÷, which means to divide. The number after the division symbol, 2, is the divisor.
So, the expression (14 – 4) ÷ 2 can be read as "the difference between 14 and 4 divided by 2."
Answer A, "The difference between 14 and 4 is doubled," is incorrect because the expression does not involve doubling. It only involves subtraction and division.
Answer B, "The difference between 14 and 4 is split into 2 parts," is incorrect because the expression does not involve splitting into separate parts. It only involves calculating the difference and then dividing it.
Answer C, "The expression has a value equal to half as much as 14 minus 4," is correct. The expression (14 – 4) ÷ 2 equals (10) ÷ 2, which is equal to 5. This means the expression has a value that is half as much as the difference between 14 and 4.
Answer D, "The expression has a value that is twice as much as 14 minus 4," is incorrect because the expression does not involve doubling. It only involves subtracting and then dividing.
Therefore, the correct answers are A and C.