Which expression represents a number that is 4 times as great as the quotient of 25 and 5?
To start, we need to find the quotient of 25 and 5, which is 5.
Next, we need to multiply that quotient by 4 to get a number that is 4 times as great.
So the expression that represents this number is:
4 x 5 = 20
Without doing any calculations, compare Expression A to Expression B.
(
34
+
25
)
÷
1
4
34
+
25
Which statement is true?
Both Expression A and Expression B have the same value.
To see why this is true, we can simplify both expressions:
Expression A:
(34 + 25) ÷ 14 = 59 ÷ 14
Expression B:
34 + 25 = 59
As we can see, Expression B is just the simplified version of the first part of Expression A.
So both expressions have the same value of 59/14, even though they look different.
Shelly is asked to put parentheses in the equation
14
−
8
−
5
+
6
×
2
=
23
so that it is true.
Choose the correct expression.
We can use the order of operations (PEMDAS) to correctly add parentheses to the equation.
First, we need to perform the multiplication:
6 × 2 = 12
So now the equation becomes:
14 - 8 - 5 + 12 = 23
Next, we can add parentheses to make it more clear which operations to perform first. One possible way to do this is:
(14 - 8 - 5) + (12) = 23
This way, we add -8 and -5 first, and then add the result to 12. Both parts in the parentheses evaluate to 1, so we have:
1 + 12 = 23
And this is true, so our final expression is:
(14 - 8 - 5) + (6 × 2) = 23
Phillipa says that
(
27
−
9
)
×
3
÷
9
+
18
=
42
.
Is she correct? If not, what is the correct answer?
To check Phillipa's work, we need to perform the operations in the correct order, which is called the order of operations or PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Using the distributive property, we can simplify the expression inside the parentheses first:
(27 - 9) × 3 ÷ 9 + 18 = 6 × 3 ÷ 9 + 18
Next, we perform the multiplication and division from left to right:
6 × 3 ÷ 9 + 18 = 2 + 18
Finally, we perform the addition:
2 + 18 = 20
So the correct answer is 20, and Phillipa is not correct.
thres no 20
I apologize for my mistake. Let's go through the calculation again to review where the error occurred.
Using the distributive property, we can simplify the expression inside the parentheses first:
(27 - 9) × 3 ÷ 9 + 18 = 18 × 3 ÷ 9 + 18
Next, we perform the multiplication and division from left to right:
18 × 3 ÷ 9 + 18 = 6 + 18
Finally, we perform the addition:
6 + 18 = 24
Therefore, the correct answer is 24, not 42. Phillipa is not correct.
To find the expression that represents a number 4 times as great as the quotient of 25 and 5, we need to break it down step by step.
Step 1: Find the quotient of 25 and 5:
Divide 25 by 5:
25 ÷ 5 = 5
Step 2: Multiply the quotient by 4 to find the number that is 4 times as great:
5 * 4 = 20
Therefore, the expression that represents a number 4 times as great as the quotient of 25 and 5 is 20.