Multiplication, money and division - Studyladder Interactive ... - Free Printable
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Step-by-step solution for: Multiplication, money and division - Studyladder Interactive ...
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Show Answer Key & Explanations
Step-by-step solution for: Multiplication, money and division - Studyladder Interactive ...
Let’s solve each part of the worksheet step by step.
---
Multiplication and Money
We’ll do each multiplication or addition problem one at a time.
1. 65 × 10 = ?
Multiply 65 by 10 → just add a zero → 650
2. 86 × 100 = ?
Multiply 86 by 100 → add two zeros → 8,600
3. 78 × 1000 = ?
Multiply 78 by 1000 → add three zeros → 78,000
4. 174 × 10 = ?
Add a zero → 1,740
5. 950 × 100 = ?
Add two zeros → 95,000
Now the money additions:
6. $45.86 + $95.85
Line up decimals:
45.86
+ 95.85
--------
141.71 → $141.71
7. $456.95 + $847.79
456.95
+ 847.79
--------
1304.74 → $1,304.74
Now multiplications with money:
8. $36.26 × 65
Let’s break it down:
36.26 × 60 = 2175.60
36.26 × 5 = 181.30
Add them: 2175.60 + 181.30 = 2356.90 → $2,356.90
9. $99.75 × 36
Break it down:
99.75 × 30 = 2992.50
99.75 × 6 = 598.50
Add: 2992.50 + 598.50 = 3591.00 → $3,591.00
Now the division-style problems (find missing number):
10. 65 × 5 + ? = 408
65 × 5 = 325
408 - 325 = 83
11. 76 × 3 + ? = 282
76 × 3 = 228
282 - 228 = 54
12. 98 × 4 + ? = 460
98 × 4 = 392
460 - 392 = 68
13. 68 × 4 + ? = 510
68 × 4 = 272
510 - 272 = 238
14. 38 × 9 + ? = 441
38 × 9 = 342
441 - 342 = 99
---
Division – Identify the dividend
Remember: Dividend = divisor × quotient + remainder
15. 8 ) ___ = 28 r2
So: 8 × 28 + 2 = 224 + 2 = 226
16. 6 ) ___ = 36 r4
6 × 36 + 4 = 216 + 4 = 220
Now long division answers:
17. 6 ) 165
6 × 27 = 162 → remainder 3 → 27 r3
18. 8 ) 679
8 × 84 = 672 → remainder 7 → 84 r7
19. 5 ) 486
5 × 97 = 485 → remainder 1 → 97 r1
20. 7 ) 474
7 × 67 = 469 → remainder 5 → 67 r5
---
Money – Circle notes/coins to pay for items (least number possible)
We need to make each amount using fewest bills/coins. We assume standard Australian currency since images show AUD notes/coins.
Notes: $100, $50, $20, $10, $5
Coins: $2, $1, 50c, 20c, 10c, 5c
But since we can’t circle in text, we’ll list what you’d use.
- Tie: $12.80
Use: $10 note + $2 coin + 50c + 20c + 10c → total 5 pieces
- Shirt: $26.35
$20 + $5 + $1 + 20c + 10c + 5c → 6 pieces
OR better: $20 + $5 + $1 + 20c + 10c + 5c — same
Actually, maybe $20 + $5 + $1 + 20c + 10c + 5c is best.
Wait — let’s try to minimize:
$26.35 → $20 + $5 + $1 + 20c + 10c + 5c → 6 items
Can we do better? No, because no $2 coin used here? Wait, $2 coin exists.
Better: $20 + $5 + $1 + 20c + 10c + 5c — still 6.
Actually, if we use $2 coins:
$20 + $2 + $2 + $2 + $0.35 → but that’s more coins.
Stick with: $20 + $5 + $1 + 20c + 10c + 5c → 6 items
But wait — perhaps $20 + $5 + $1 + 20c + 10c + 5c is correct.
Actually, let's recalculate:
$26.35 = $20 + $5 + $1 + 20c + 10c + 5c → yes.
- Shoes: $45.60
$20 + $20 + $5 + 50c + 10c → 5 items
Or $20 + $20 + $5 + 50c + 10c — yes.
- Jacket: $67.90
$50 + $10 + $5 + $2 + 50c + 20c + 20c → too many
Better: $50 + $10 + $5 + $2 + 50c + 20c + 20c? Wait, 50+10+5+2=67, then 90c = 50c + 20c + 20c → 7 items
Alternative: $50 + $10 + $5 + $2 + 50c + 20c + 20c — same.
Or use $20s: $20×3 = $60, then $5 + $2 + 50c + 20c + 20c → also 7.
Actually, best: $50 + $10 + $5 + $2 + 50c + 20c + 20c — 7 items.
Wait — 90c can be 50c + 20c + 20c — yes.
But maybe 50c + 40c? But no 40c coin. So 50c + 20c + 20c is fine.
So for each item, we list minimal combination.
But since the question says “circle”, and we’re texting, we’ll just state the amounts are payable with those combinations.
---
Problem Solving
Jimmy bought:
- 2 kg salami @ $6.40/kg → 2 × 6.40 = $12.80
- 3 kg bananas @ $3.20/kg → 3 × 3.20 = $9.60
Total cost = 12.80 + 9.60 = $22.40
He paid with $50.00
Change = 50.00 - 22.40 = $27.60
---
Final Answer:
Multiplication and Money:
- 65 × 10 = 650
- 86 × 100 = 8,600
- 78 × 1000 = 78,000
- 174 × 10 = 1,740
- 950 × 100 = 95,000
- $45.86 + $95.85 = $141.71
- $456.95 + $847.79 = $1,304.74
- $36.26 × 65 = $2,356.90
- $99.75 × 36 = $3,591.00
- 65 × 5 + 83 = 408
- 76 × 3 + 54 = 282
- 98 × 4 + 68 = 460
- 68 × 4 + 238 = 510
- 38 × 9 + 99 = 441
Division:
- 8 ) 226 = 28 r2
- 6 ) 220 = 36 r4
- 6 ) 165 = 27 r3
- 8 ) 679 = 84 r7
- 5 ) 486 = 97 r1
- 7 ) 474 = 67 r5
Money (minimal coins/notes):
- Tie $12.80: $10 + $2 + 50c + 20c + 10c
- Shirt $26.35: $20 + $5 + $1 + 20c + 10c + 5c
- Shoes $45.60: $20 + $20 + $5 + 50c + 10c
- Jacket $67.90: $50 + $10 + $5 + $2 + 50c + 20c + 20c
Problem Solving:
Change from $50.00 after buying 2kg salami ($6.40/kg) and 3kg bananas ($3.20/kg) = $27.60
Final Answer:
$27.60
---
Multiplication and Money
We’ll do each multiplication or addition problem one at a time.
1. 65 × 10 = ?
Multiply 65 by 10 → just add a zero → 650
2. 86 × 100 = ?
Multiply 86 by 100 → add two zeros → 8,600
3. 78 × 1000 = ?
Multiply 78 by 1000 → add three zeros → 78,000
4. 174 × 10 = ?
Add a zero → 1,740
5. 950 × 100 = ?
Add two zeros → 95,000
Now the money additions:
6. $45.86 + $95.85
Line up decimals:
45.86
+ 95.85
--------
141.71 → $141.71
7. $456.95 + $847.79
456.95
+ 847.79
--------
1304.74 → $1,304.74
Now multiplications with money:
8. $36.26 × 65
Let’s break it down:
36.26 × 60 = 2175.60
36.26 × 5 = 181.30
Add them: 2175.60 + 181.30 = 2356.90 → $2,356.90
9. $99.75 × 36
Break it down:
99.75 × 30 = 2992.50
99.75 × 6 = 598.50
Add: 2992.50 + 598.50 = 3591.00 → $3,591.00
Now the division-style problems (find missing number):
10. 65 × 5 + ? = 408
65 × 5 = 325
408 - 325 = 83
11. 76 × 3 + ? = 282
76 × 3 = 228
282 - 228 = 54
12. 98 × 4 + ? = 460
98 × 4 = 392
460 - 392 = 68
13. 68 × 4 + ? = 510
68 × 4 = 272
510 - 272 = 238
14. 38 × 9 + ? = 441
38 × 9 = 342
441 - 342 = 99
---
Division – Identify the dividend
Remember: Dividend = divisor × quotient + remainder
15. 8 ) ___ = 28 r2
So: 8 × 28 + 2 = 224 + 2 = 226
16. 6 ) ___ = 36 r4
6 × 36 + 4 = 216 + 4 = 220
Now long division answers:
17. 6 ) 165
6 × 27 = 162 → remainder 3 → 27 r3
18. 8 ) 679
8 × 84 = 672 → remainder 7 → 84 r7
19. 5 ) 486
5 × 97 = 485 → remainder 1 → 97 r1
20. 7 ) 474
7 × 67 = 469 → remainder 5 → 67 r5
---
Money – Circle notes/coins to pay for items (least number possible)
We need to make each amount using fewest bills/coins. We assume standard Australian currency since images show AUD notes/coins.
Notes: $100, $50, $20, $10, $5
Coins: $2, $1, 50c, 20c, 10c, 5c
But since we can’t circle in text, we’ll list what you’d use.
- Tie: $12.80
Use: $10 note + $2 coin + 50c + 20c + 10c → total 5 pieces
- Shirt: $26.35
$20 + $5 + $1 + 20c + 10c + 5c → 6 pieces
OR better: $20 + $5 + $1 + 20c + 10c + 5c — same
Actually, maybe $20 + $5 + $1 + 20c + 10c + 5c is best.
Wait — let’s try to minimize:
$26.35 → $20 + $5 + $1 + 20c + 10c + 5c → 6 items
Can we do better? No, because no $2 coin used here? Wait, $2 coin exists.
Better: $20 + $5 + $1 + 20c + 10c + 5c — still 6.
Actually, if we use $2 coins:
$20 + $2 + $2 + $2 + $0.35 → but that’s more coins.
Stick with: $20 + $5 + $1 + 20c + 10c + 5c → 6 items
But wait — perhaps $20 + $5 + $1 + 20c + 10c + 5c is correct.
Actually, let's recalculate:
$26.35 = $20 + $5 + $1 + 20c + 10c + 5c → yes.
- Shoes: $45.60
$20 + $20 + $5 + 50c + 10c → 5 items
Or $20 + $20 + $5 + 50c + 10c — yes.
- Jacket: $67.90
$50 + $10 + $5 + $2 + 50c + 20c + 20c → too many
Better: $50 + $10 + $5 + $2 + 50c + 20c + 20c? Wait, 50+10+5+2=67, then 90c = 50c + 20c + 20c → 7 items
Alternative: $50 + $10 + $5 + $2 + 50c + 20c + 20c — same.
Or use $20s: $20×3 = $60, then $5 + $2 + 50c + 20c + 20c → also 7.
Actually, best: $50 + $10 + $5 + $2 + 50c + 20c + 20c — 7 items.
Wait — 90c can be 50c + 20c + 20c — yes.
But maybe 50c + 40c? But no 40c coin. So 50c + 20c + 20c is fine.
So for each item, we list minimal combination.
But since the question says “circle”, and we’re texting, we’ll just state the amounts are payable with those combinations.
---
Problem Solving
Jimmy bought:
- 2 kg salami @ $6.40/kg → 2 × 6.40 = $12.80
- 3 kg bananas @ $3.20/kg → 3 × 3.20 = $9.60
Total cost = 12.80 + 9.60 = $22.40
He paid with $50.00
Change = 50.00 - 22.40 = $27.60
---
Final Answer:
Multiplication and Money:
- 65 × 10 = 650
- 86 × 100 = 8,600
- 78 × 1000 = 78,000
- 174 × 10 = 1,740
- 950 × 100 = 95,000
- $45.86 + $95.85 = $141.71
- $456.95 + $847.79 = $1,304.74
- $36.26 × 65 = $2,356.90
- $99.75 × 36 = $3,591.00
- 65 × 5 + 83 = 408
- 76 × 3 + 54 = 282
- 98 × 4 + 68 = 460
- 68 × 4 + 238 = 510
- 38 × 9 + 99 = 441
Division:
- 8 ) 226 = 28 r2
- 6 ) 220 = 36 r4
- 6 ) 165 = 27 r3
- 8 ) 679 = 84 r7
- 5 ) 486 = 97 r1
- 7 ) 474 = 67 r5
Money (minimal coins/notes):
- Tie $12.80: $10 + $2 + 50c + 20c + 10c
- Shirt $26.35: $20 + $5 + $1 + 20c + 10c + 5c
- Shoes $45.60: $20 + $20 + $5 + 50c + 10c
- Jacket $67.90: $50 + $10 + $5 + $2 + 50c + 20c + 20c
Problem Solving:
Change from $50.00 after buying 2kg salami ($6.40/kg) and 3kg bananas ($3.20/kg) = $27.60
Final Answer:
$27.60
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing money worksheet.