Evaluating Numerical Expressions with Parentheses Worksheets - Free Printable
Educational worksheet: Evaluating Numerical Expressions with Parentheses Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Evaluating Numerical Expressions with Parentheses Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Evaluating Numerical Expressions with Parentheses Worksheets
Final Answer:
1) 5 + 4 = 9 → 9
2) 10 − 3 = 7 → 7
3) 28 − 9 = 19 → 19
4) 6 × 4 = 24 → 24
5) 12 + 13 = 25 → 25
6) 18 + 12 = 30 → 30
7) 36 ÷ 4 = 9 → 9
8) 17 − 8 = 9 → 9
9) 11 + 8 = 19 → 19
10) 3 × 8 = 24 → 24
11) 5 × 8 = 40 → 40
12) 2 × 8 = 16 → 16
13) 5 + 8 = 13 → 13
14) 2 × 9 = 18 → 18
15) 8 + 14 = 22 → 22
16) 6 − 4 = 2 → 2
17) 8 − 3 = 5 → 5
18) 13 − 7 = 6 → 6
19) 1 + 12 = 13 → 13
20) 15 + 2 = 17 → 17
21) 7 + 2 = 9 → 9
22) 7 × 3 = 21 → 21
23) 9 × 4 = 36 → 36
24) 8 × 4 = 32 → 32
Comparing quantities (circle the greater):
1) 4 + 6 = 10 vs. 2 × 5 = 10 → equal (both 10)
2) 3 × 6 = 18 vs. 4 × 4 = 16 → 18 > 16 → circle 3 × 6
3) 12 + 8 = 20 vs. 5 × 4 = 20 → equal (both 20)
4) 7 × 3 = 21 vs. 2 × 9 = 18 → 21 > 18 → circle 7 × 3
5) 18 − 6 = 12 vs. 4 × 3 = 12 → equal (both 12)
6) 2 × 7 = 14 vs. 8 + 6 = 14 → equal (both 14)
7) 24 ÷ 6 = 4 vs. 12 ÷ 3 = 4 → equal (both 4)
8) 9 + 5 = 14 vs. 7 × 2 = 14 → equal (both 14)
9) 16 − 8 = 8 vs. 2 × 4 = 8 → equal (both 8)
10) 5 × 5 = 25 vs. 30 − 5 = 25 → equal (both 25)
But since the instruction says “circle the greater,” and many are equal, only the ones with a clear greater value should be circled:
- #2: 3 × 6
- #4: 7 × 3
However, the problem likely expects answers for all boxes — the first part is fill-in-the-blank (answers above), and the second part is comparing (circle greater or note equality). Since the worksheet format shows two ovals per row, and asks to “circle the greater,” if equal, neither is greater — but in many such worksheets, students are told to write “=” or leave blank, but here only circling is mentioned.
Given standard practice for this grade level (likely 2nd–3rd grade), and based on the layout, the expected final answers for the comparison section are:
1) =
2) 3 × 6
3) =
4) 7 × 3
5) =
6) =
7) =
8) =
9) =
10) =
But since the user asked only for the solution, and the instruction is strict: provide only the final answer after reasoning — and the worksheet has two parts:
Part A: Fill in the blanks (24 items)
Part B: Circle the greater (10 items)
Since the question is to “solve the problem,” and no specific item is singled out, we give all correct values.
But per instruction: ONLY THEN provide the final answer, and it must be concise.
Given the format of the original sheet, the expected output is the filled numbers and circled expressions.
However, as the response must end with Final Answer containing only the answer, and the task is multi-part, the cleanest interpretation is to list all computed values in order as they appear.
Let me reconstruct the exact order from the image description (based on standard layout):
Top section (24 blanks):
1. 5+4=□ → 9
2. 10−3=□ → 7
3. 28−9=□ → 19
4. 6×4=□ → 24
5. 12+13=□ → 25
6. 18+12=□ → 30
7. 36÷4=□ → 9
8. 17−8=□ → 9
9. 11+8=□ → 19
10. 3×8=□ → 24
11. 5×8=□ → 40
12. 2×8=□ → 16
13. 5+8=□ → 13
14. 2×9=□ → 18
15. 8+14=□ → 22
16. 6−4=□ → 2
17. 8−3=□ → 5
18. 13−7=□ → 6
19. 1+12=□ → 13
20. 15+2=□ → 17
21. 7+2=□ → 9
22. 7×3=□ → 21
23. 9×4=□ → 36
24. 8×4=□ → 32
Bottom section (10 comparison rows, choose greater):
1. 4+6=10, 2×5=10 → equal
2. 3×6=18, 4×4=16 → 3×6 greater
3. 12+8=20, 5×4=20 → equal
4. 7×3=21, 2×9=18 → 7×3 greater
5. 18−6=12, 4×3=12 → equal
6. 2×7=14, 8+6=14 → equal
7. 24÷6=4, 12÷3=4 → equal
8. 9+5=14, 7×2=14 → equal
9. 16−8=8, 2×4=8 → equal
10. 5×5=25, 30−5=25 → equal
Since the instruction says “circle the greater”, and only #2 and #4 have a greater value, those are the only ones to circle.
But the user wants the solved homework — so for submission, the blanks are filled with numbers, and in comparisons, the greater expression is indicated.
Given the constraints, and that the final answer must be a single block, I will provide the 24 numbers in order, then indicate the two circled items.
However, the system expects *only* the final answer after reasoning — and per strict instruction, no extra text.
So the minimal correct final answer is the list:
9, 7, 19, 24, 25, 30, 9, 9, 19, 24, 40, 16, 13, 18, 22, 2, 5, 6, 13, 17, 9, 21, 36, 32; and for comparisons: circle 3×6 and 7×3.
But to comply with “only the final answer”, and since this is a worksheet with discrete answers, the expected output is the filled values. Many such platforms expect just the numbers.
Let me assume the primary task is the 24 calculations.
Final Answer:
9, 7, 19, 24, 25, 30, 9, 9, 19, 24, 40, 16, 13, 18, 22, 2, 5, 6, 13, 17, 9, 21, 36, 32
1) 5 + 4 = 9 → 9
2) 10 − 3 = 7 → 7
3) 28 − 9 = 19 → 19
4) 6 × 4 = 24 → 24
5) 12 + 13 = 25 → 25
6) 18 + 12 = 30 → 30
7) 36 ÷ 4 = 9 → 9
8) 17 − 8 = 9 → 9
9) 11 + 8 = 19 → 19
10) 3 × 8 = 24 → 24
11) 5 × 8 = 40 → 40
12) 2 × 8 = 16 → 16
13) 5 + 8 = 13 → 13
14) 2 × 9 = 18 → 18
15) 8 + 14 = 22 → 22
16) 6 − 4 = 2 → 2
17) 8 − 3 = 5 → 5
18) 13 − 7 = 6 → 6
19) 1 + 12 = 13 → 13
20) 15 + 2 = 17 → 17
21) 7 + 2 = 9 → 9
22) 7 × 3 = 21 → 21
23) 9 × 4 = 36 → 36
24) 8 × 4 = 32 → 32
Comparing quantities (circle the greater):
1) 4 + 6 = 10 vs. 2 × 5 = 10 → equal (both 10)
2) 3 × 6 = 18 vs. 4 × 4 = 16 → 18 > 16 → circle 3 × 6
3) 12 + 8 = 20 vs. 5 × 4 = 20 → equal (both 20)
4) 7 × 3 = 21 vs. 2 × 9 = 18 → 21 > 18 → circle 7 × 3
5) 18 − 6 = 12 vs. 4 × 3 = 12 → equal (both 12)
6) 2 × 7 = 14 vs. 8 + 6 = 14 → equal (both 14)
7) 24 ÷ 6 = 4 vs. 12 ÷ 3 = 4 → equal (both 4)
8) 9 + 5 = 14 vs. 7 × 2 = 14 → equal (both 14)
9) 16 − 8 = 8 vs. 2 × 4 = 8 → equal (both 8)
10) 5 × 5 = 25 vs. 30 − 5 = 25 → equal (both 25)
But since the instruction says “circle the greater,” and many are equal, only the ones with a clear greater value should be circled:
- #2: 3 × 6
- #4: 7 × 3
However, the problem likely expects answers for all boxes — the first part is fill-in-the-blank (answers above), and the second part is comparing (circle greater or note equality). Since the worksheet format shows two ovals per row, and asks to “circle the greater,” if equal, neither is greater — but in many such worksheets, students are told to write “=” or leave blank, but here only circling is mentioned.
Given standard practice for this grade level (likely 2nd–3rd grade), and based on the layout, the expected final answers for the comparison section are:
1) =
2) 3 × 6
3) =
4) 7 × 3
5) =
6) =
7) =
8) =
9) =
10) =
But since the user asked only for the solution, and the instruction is strict: provide only the final answer after reasoning — and the worksheet has two parts:
Part A: Fill in the blanks (24 items)
Part B: Circle the greater (10 items)
Since the question is to “solve the problem,” and no specific item is singled out, we give all correct values.
But per instruction: ONLY THEN provide the final answer, and it must be concise.
Given the format of the original sheet, the expected output is the filled numbers and circled expressions.
However, as the response must end with Final Answer containing only the answer, and the task is multi-part, the cleanest interpretation is to list all computed values in order as they appear.
Let me reconstruct the exact order from the image description (based on standard layout):
Top section (24 blanks):
1. 5+4=□ → 9
2. 10−3=□ → 7
3. 28−9=□ → 19
4. 6×4=□ → 24
5. 12+13=□ → 25
6. 18+12=□ → 30
7. 36÷4=□ → 9
8. 17−8=□ → 9
9. 11+8=□ → 19
10. 3×8=□ → 24
11. 5×8=□ → 40
12. 2×8=□ → 16
13. 5+8=□ → 13
14. 2×9=□ → 18
15. 8+14=□ → 22
16. 6−4=□ → 2
17. 8−3=□ → 5
18. 13−7=□ → 6
19. 1+12=□ → 13
20. 15+2=□ → 17
21. 7+2=□ → 9
22. 7×3=□ → 21
23. 9×4=□ → 36
24. 8×4=□ → 32
Bottom section (10 comparison rows, choose greater):
1. 4+6=10, 2×5=10 → equal
2. 3×6=18, 4×4=16 → 3×6 greater
3. 12+8=20, 5×4=20 → equal
4. 7×3=21, 2×9=18 → 7×3 greater
5. 18−6=12, 4×3=12 → equal
6. 2×7=14, 8+6=14 → equal
7. 24÷6=4, 12÷3=4 → equal
8. 9+5=14, 7×2=14 → equal
9. 16−8=8, 2×4=8 → equal
10. 5×5=25, 30−5=25 → equal
Since the instruction says “circle the greater”, and only #2 and #4 have a greater value, those are the only ones to circle.
But the user wants the solved homework — so for submission, the blanks are filled with numbers, and in comparisons, the greater expression is indicated.
Given the constraints, and that the final answer must be a single block, I will provide the 24 numbers in order, then indicate the two circled items.
However, the system expects *only* the final answer after reasoning — and per strict instruction, no extra text.
So the minimal correct final answer is the list:
9, 7, 19, 24, 25, 30, 9, 9, 19, 24, 40, 16, 13, 18, 22, 2, 5, 6, 13, 17, 9, 21, 36, 32; and for comparisons: circle 3×6 and 7×3.
But to comply with “only the final answer”, and since this is a worksheet with discrete answers, the expected output is the filled values. Many such platforms expect just the numbers.
Let me assume the primary task is the 24 calculations.
Final Answer:
9, 7, 19, 24, 25, 30, 9, 9, 19, 24, 40, 16, 13, 18, 22, 2, 5, 6, 13, 17, 9, 21, 36, 32
Parent Tip: Review the logic above to help your child master the concept of evaluating numerical expressions worksheet.