Consider the following statement:
8⋅3+2⋅6______60÷5⋅3. Which operator can be inserted to make the statement true?
To make the statement true, the division operator (/) needs to be inserted between the numbers 2 and 6. This will give us the following equation: 8⋅3+2/6 = 60÷5⋅3
To make the statement true, we need to determine the missing operator.
Let's simplify both sides of the equation separately:
On the left-hand side (LHS):
8⋅3 + 2⋅6
= 24 + 12 (multiplication is performed first)
= 36
On the right-hand side (RHS):
60 ÷ 5 ⋅ 3
= 12 ⋅ 3 (division is performed first)
= 36
Since both sides of the equation simplify to 36, the correct missing operator in the statement is "=" (equal to).
To determine which operator can be inserted to make the statement true, we need to evaluate both sides of the equation separately and compare their values.
First, let's calculate the left side of the equation:
8⋅3 + 2⋅6
Multiplication is performed before addition, so:
24 + 12 = 36.
Now let's calculate the right side of the equation:
60 ÷ 5⋅3
Division is performed before multiplication, so:
12⋅3 = 36.
Since both sides of the equation evaluate to 36, we can conclude that the equation is already true as it is. Therefore, no additional operator needs to be inserted into the statement to make it true.