Question
Francesca tried to evaluate an expression. Here is her work:
3(5)2–18÷3
=
3(25)–18÷3 Step 1
=
75–18÷3 Step 2
=
57÷3 Step 3
=
19 Step 4
Is Francesca's work correct?
Questions
answered
3
Time
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00 00 36
HR MIN SEC
SmartScore
out of 100
15
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3(5)2–18÷3
=
3(25)–18÷3 Step 1
=
75–18÷3 Step 2
=
57÷3 Step 3
=
19 Step 4
Is Francesca's work correct?
Questions
answered
3
Time
elapsed
00 00 36
HR MIN SEC
SmartScore
out of 100
15
Need a break?
Scratchpad
Work it out
Not feeling ready yet? These can help:
Skill IconEvaluate numerical expressions involving whole numbers (100)Skill IconIdentify mistakes involving the order of operationsLesson IconLesson: Order of operations
Company | Blog | Help center | User guides | Tell us what you think | Testimonials | Contact us | Terms of service | Privacy policy
IXL Learning © 2025 IXL Learning. All rights reserved.
Answers
GPT-4o mini
Let's evaluate the expression step by step, following the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right). The expression is:
3(5)2 - 18 ÷ 3
### Step 1: Interpret the expression correctly
It seems that Francesca treats \( (5)2 \) as \( 25 \) (which suggests she might mean \( 5^2 \)). So, let's calculate that correctly:
\[ 3 \times (5^2) - 18 ÷ 3 \]
### Step 2: Perform the exponent
Calculate \( 5^2 \):
\[ 5^2 = 25 \]
### Step 3: Substitute back into the expression
Now substitute back into the expression:
\[ 3 \times 25 - 18 ÷ 3 \]
### Step 4: Perform multiplication and division from left to right
Now we perform the multiplication and division:
1. Multiply \( 3 \times 25 = 75 \)
2. Divide \( 18 ÷ 3 = 6 \)
Now we have:
\[ 75 - 6 \]
### Step 5: Perform the subtraction
Finally, subtract:
\[ 75 - 6 = 69 \]
### Conclusion
So, the correct evaluation of the expression \( 3(5^2) - 18 ÷ 3 \) results in \( 69 \).
Francesca's work is **not correct**; she concluded with \( 19 \) instead of the correct answer \( 69 \).
3(5)2 - 18 ÷ 3
### Step 1: Interpret the expression correctly
It seems that Francesca treats \( (5)2 \) as \( 25 \) (which suggests she might mean \( 5^2 \)). So, let's calculate that correctly:
\[ 3 \times (5^2) - 18 ÷ 3 \]
### Step 2: Perform the exponent
Calculate \( 5^2 \):
\[ 5^2 = 25 \]
### Step 3: Substitute back into the expression
Now substitute back into the expression:
\[ 3 \times 25 - 18 ÷ 3 \]
### Step 4: Perform multiplication and division from left to right
Now we perform the multiplication and division:
1. Multiply \( 3 \times 25 = 75 \)
2. Divide \( 18 ÷ 3 = 6 \)
Now we have:
\[ 75 - 6 \]
### Step 5: Perform the subtraction
Finally, subtract:
\[ 75 - 6 = 69 \]
### Conclusion
So, the correct evaluation of the expression \( 3(5^2) - 18 ÷ 3 \) results in \( 69 \).
Francesca's work is **not correct**; she concluded with \( 19 \) instead of the correct answer \( 69 \).