Math worksheet for practicing multiplication and division of integers with 22 problems.
Worksheet titled "Multiplying and Dividing Integers" with 22 math problems involving multiplication and division of positive and negative integers, including a QR code in the top right corner.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying and Dividing Integers worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying and Dividing Integers worksheets
Let’s solve each problem step by step. We’ll go one at a time, carefully checking signs and operations.
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1) 0 ÷ 0 =
Division by zero is undefined — but here it’s 0 divided by 0. In math, this is indeterminate, meaning it has no single defined value. But in many school contexts (especially with integers), they may expect you to say “undefined” or leave it blank. However, since all other problems are computational, and 0÷0 isn’t a standard integer result, we note:
→ Undefined (but sometimes written as “not possible”)
But wait — let’s check the context. The worksheet says “Get the result.” For consistency, if this appears on a test, some systems might accept “undefined”, but technically in arithmetic, 0÷0 is not allowed. Let’s mark it as undefined.
However, looking ahead — maybe the teacher expects just computation? Actually, no — 0÷0 is never given a numerical answer. So we’ll write:
→ Undefined
*(Note: Some curricula skip this or call it “indeterminate”. Since this is multiplying/dividing integers, perhaps it's a trick question. But we must be accurate.)*
Actually — let me double-check: In most middle/high school math, 0 ÷ 0 is considered undefined. So we'll go with that.
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2) 9 × 2 × (–4)
First: 9 × 2 = 18
Then: 18 × (–4) = –72
→ –72
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3) 3 × 1 × (–4)
3 × 1 = 3
3 × (–4) = –12
→ –12
---
4) (–8) ÷ (–4)
Negative divided by negative = positive
8 ÷ 4 = 2
→ 2
---
5) 9 × 7 × (–9)
9 × 7 = 63
63 × (–9) = –567
→ –567
---
6) 2 × 1 × (–7)
2 × 1 = 2
2 × (–7) = –14
→ –14
---
7) (–6) × 7 × (–6)
First: (–6) × 7 = –42
Then: –42 × (–6) = +252 (negative × negative = positive)
→ 252
---
8) 4 × (–4)
Positive × negative = negative
4 × 4 = 16 → so –16
→ –16
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9) 4 × 4
Simple: 16
→ 16
---
10) (–4) × (–5)
Negative × negative = positive
4 × 5 = 20
→ 20
---
11) 5 × (–5)
Positive × negative = negative
5 × 5 = 25 → so –25
→ –25
---
12) 10 5
10 ÷ 5 = 2
→ 2
---
13) (–5) × 4 × (–9)
First: (–5) × 4 = –20
Then: –20 × (–9) = +180
→ 180
---
14) 1 × (–9) × (–10)
1 × (–9) = –9
–9 × (–10) = +90
→ 90
---
15) (–9) × 4 × (–3)
(–9) × 4 = –36
–36 × (–3) = +108
→ 108
---
16) (–4) × 4
Negative × positive = negative
4 × 4 = 16 → so –16
→ –16
---
17) (–24) 8
Negative ÷ positive = negative
24 ÷ 8 = 3 → so –3
→ –3
---
18) (–8) × (–6) × (–7)
First: (–8) × (–6) = +48
Then: 48 × (–7) = –336
→ –336
---
19) 6 × (–9) × (–7)
6 × (–9) = –54
–54 × (–7) = +378
→ 378
---
20) 0 × (–2) × (–6)
Anything multiplied by 0 is 0
→ 0
---
21) 2 × 1
= 2
→ 2
---
22) (–1) × 3 × (–9)
(–1) × 3 = –3
–3 × (–9) = +27
→ 27
---
Now, back to #1: 0 ÷ 0
In mathematics, division by zero is undefined. Specifically, 0 0 is called an "indeterminate form" because it could theoretically be any number (since 0 × anything = 0). But in basic arithmetic and integer operations worksheets like this, it’s typically marked as undefined.
Some teachers might accept “not possible” or leave it blank, but since the instruction is “Get the result,” and all others have numeric answers, perhaps there’s a mistake? Or maybe it’s testing knowledge of undefined operations.
Given that, I will state:
→ Undefined
But let’s confirm: Is there any chance this is a typo? Maybe meant to be 0 something else? No — it’s clearly written as 0 ÷ 0.
So final decision: Undefined
---
Final Answer:
1) Undefined
2) –72
3) –12
4) 2
5) –567
6) –14
7) 252
8) –16
9) 16
10) 20
11) –25
12) 2
13) 180
14) 90
15) 108
16) –16
17) –3
18) –336
19) 378
20) 0
21) 2
22) 27
---
1) 0 ÷ 0 =
Division by zero is undefined — but here it’s 0 divided by 0. In math, this is indeterminate, meaning it has no single defined value. But in many school contexts (especially with integers), they may expect you to say “undefined” or leave it blank. However, since all other problems are computational, and 0÷0 isn’t a standard integer result, we note:
→ Undefined (but sometimes written as “not possible”)
But wait — let’s check the context. The worksheet says “Get the result.” For consistency, if this appears on a test, some systems might accept “undefined”, but technically in arithmetic, 0÷0 is not allowed. Let’s mark it as undefined.
However, looking ahead — maybe the teacher expects just computation? Actually, no — 0÷0 is never given a numerical answer. So we’ll write:
→ Undefined
*(Note: Some curricula skip this or call it “indeterminate”. Since this is multiplying/dividing integers, perhaps it's a trick question. But we must be accurate.)*
Actually — let me double-check: In most middle/high school math, 0 ÷ 0 is considered undefined. So we'll go with that.
---
2) 9 × 2 × (–4)
First: 9 × 2 = 18
Then: 18 × (–4) = –72
→ –72
---
3) 3 × 1 × (–4)
3 × 1 = 3
3 × (–4) = –12
→ –12
---
4) (–8) ÷ (–4)
Negative divided by negative = positive
8 ÷ 4 = 2
→ 2
---
5) 9 × 7 × (–9)
9 × 7 = 63
63 × (–9) = –567
→ –567
---
6) 2 × 1 × (–7)
2 × 1 = 2
2 × (–7) = –14
→ –14
---
7) (–6) × 7 × (–6)
First: (–6) × 7 = –42
Then: –42 × (–6) = +252 (negative × negative = positive)
→ 252
---
8) 4 × (–4)
Positive × negative = negative
4 × 4 = 16 → so –16
→ –16
---
9) 4 × 4
Simple: 16
→ 16
---
10) (–4) × (–5)
Negative × negative = positive
4 × 5 = 20
→ 20
---
11) 5 × (–5)
Positive × negative = negative
5 × 5 = 25 → so –25
→ –25
---
12) 10 5
10 ÷ 5 = 2
→ 2
---
13) (–5) × 4 × (–9)
First: (–5) × 4 = –20
Then: –20 × (–9) = +180
→ 180
---
14) 1 × (–9) × (–10)
1 × (–9) = –9
–9 × (–10) = +90
→ 90
---
15) (–9) × 4 × (–3)
(–9) × 4 = –36
–36 × (–3) = +108
→ 108
---
16) (–4) × 4
Negative × positive = negative
4 × 4 = 16 → so –16
→ –16
---
17) (–24) 8
Negative ÷ positive = negative
24 ÷ 8 = 3 → so –3
→ –3
---
18) (–8) × (–6) × (–7)
First: (–8) × (–6) = +48
Then: 48 × (–7) = –336
→ –336
---
19) 6 × (–9) × (–7)
6 × (–9) = –54
–54 × (–7) = +378
→ 378
---
20) 0 × (–2) × (–6)
Anything multiplied by 0 is 0
→ 0
---
21) 2 × 1
= 2
→ 2
---
22) (–1) × 3 × (–9)
(–1) × 3 = –3
–3 × (–9) = +27
→ 27
---
Now, back to #1: 0 ÷ 0
In mathematics, division by zero is undefined. Specifically, 0 0 is called an "indeterminate form" because it could theoretically be any number (since 0 × anything = 0). But in basic arithmetic and integer operations worksheets like this, it’s typically marked as undefined.
Some teachers might accept “not possible” or leave it blank, but since the instruction is “Get the result,” and all others have numeric answers, perhaps there’s a mistake? Or maybe it’s testing knowledge of undefined operations.
Given that, I will state:
→ Undefined
But let’s confirm: Is there any chance this is a typo? Maybe meant to be 0 something else? No — it’s clearly written as 0 ÷ 0.
So final decision: Undefined
---
Final Answer:
1) Undefined
2) –72
3) –12
4) 2
5) –567
6) –14
7) 252
8) –16
9) 16
10) 20
11) –25
12) 2
13) 180
14) 90
15) 108
16) –16
17) –3
18) –336
19) 378
20) 0
21) 2
22) 27
Parent Tip: Review the logic above to help your child master the concept of dividing and multiplying integers worksheet.
