Comprehensive subtraction worksheet designed to help students practice arithmetic with whole numbers, decimals, and fractions.
Math worksheet for Unit 2 Subtraction covering basic arithmetic with whole numbers, decimals, and fractions using a calculator.
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Step-by-step solution for: Year 8 Maths Revision 1 - Fundamental Coaching Centre
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Show Answer Key & Explanations
Step-by-step solution for: Year 8 Maths Revision 1 - Fundamental Coaching Centre
Let's solve each question step by step using basic arithmetic and calculator methods. I'll provide the answers and a brief explanation for each.
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These are whole number subtractions.
a) $ 83 - 65 = 18 $
b) $ 836 - 512 = 324 $
c) $ 2835 - 1325 = 1510 $
d) $ 897 - 569 = 328 $
e) $ 5635 - 3234 = 2401 $
f) $ 561 - 389 = 172 $
g) $ 8364 - 5989 = 2375 $
h) $ 5380 - 4196 = 1184 $
i) $ 968 - 769 = 199 $
j) $ 589 - 435 = 154 $
k) $ 665 - 538 = 127 $
l) $ 2315 - 1859 = 456 $
✔ All done with simple subtraction.
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a) $ 8.75 - 3.5 = 5.25 $
b) $ 9.689 - 3.334 = 6.355 $
c) $ 27.89 - 4.347 = 23.543 $
d) $ 15.69 - 13.73 = 1.96 $
e) $ 89.49 - 63.73 = 25.76 $
f) $ 85.63 - 47.79 = 37.84 $
g) $ 36.45 - 18.36 = 18.09 $
h) $ 19.56 - 17.88 = 1.68 $
i) $ 38.63 - 15.99 = 22.64 $
j) $ 91.23 - 68.57 = 22.66 $
k) $ 43.31 - 38.357 = 4.953 $
l) $ 61.93 - 53.89 = 8.04 $
✔ Subtract decimals carefully, aligning decimal points.
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You can enter fractions into a calculator as decimals or use fraction functions.
a) $ \frac{4}{5} - \frac{1}{5} = \frac{3}{5} = 0.6 $
b) $ \frac{4}{15} - \frac{1}{15} = \frac{3}{15} = \frac{1}{5} = 0.2 $
c) $ \frac{3}{10} - \frac{1}{10} = \frac{2}{10} = \frac{1}{5} = 0.2 $
d) $ \frac{7}{8} - \frac{2}{3} $ → Common denominator: $ \frac{21}{24} - \frac{16}{24} = \frac{5}{24} \approx 0.2083 $
e) $ \frac{5}{6} - \frac{1}{3} = \frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2} = 0.5 $
f) $ \frac{2}{5} - \frac{1}{15} = \frac{6}{15} - \frac{1}{15} = \frac{5}{15} = \frac{1}{3} \approx 0.333 $
g) $ 1 - \frac{5}{24} = \frac{24}{24} - \frac{5}{24} = \frac{19}{24} \approx 0.7917 $
h) $ \frac{2}{3} - \frac{1}{4} = \frac{8}{12} - \frac{3}{12} = \frac{5}{12} \approx 0.4167 $
i) $ \frac{11}{20} - \frac{7}{20} = \frac{4}{20} = \frac{1}{5} = 0.2 $
✔ For fractions, ensure common denominators or convert to decimals.
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a) $ 512 - 375 = 137 $
b) $ 2348 - 1937 = 411 $
c) $ 5632 - 4586 = 1046 $
d) $ 896 - 537 = 359 $
e) $ 835 - 438 = 397 $
f) $ 253 - 199 = 54 $
g) $ 8.35 - 7.27 = 1.08 $
h) $ 9.89 - 7.89 = 2.00 $
i) $ 19.65 - 14.89 = 4.76 $
j) $ 48.67 - 37.57 = 11.10 $
k) $ 61.32 - 39.65 = 21.67 $
l) $ 53.69 - 39.99 = 13.70 $
✔ Again, straightforward subtraction with decimals.
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Convert mixed numbers to improper fractions or decimals.
a) $ 5\frac{7}{8} - 5\frac{2}{8} = (5 + \frac{7}{8}) - (5 + \frac{2}{8}) = \frac{7}{8} - \frac{2}{8} = \frac{5}{8} = 0.625 $
b) $ 12\frac{7}{10} - 5\frac{2}{3} $
First, convert:
- $ 12\frac{7}{10} = 12 + 0.7 = 12.7 $
- $ 5\frac{2}{3} \approx 5 + 0.6667 = 5.6667 $
Now subtract:
$ 12.7 - 5.6667 = 7.0333 $
Or in fractions:
- $ 12\frac{7}{10} = \frac{127}{10} $
- $ 5\frac{2}{3} = \frac{17}{3} $
- $ \frac{127}{10} - \frac{17}{3} = \frac{381 - 170}{30} = \frac{211}{30} = 7\frac{1}{30} \approx 7.0333 $
So answer: $ \boxed{7\frac{1}{30}} $ or $ \boxed{7.0333} $
c) $ 6\frac{4}{9} - 3\frac{2}{3} $
Convert:
- $ 6\frac{4}{9} = \frac{58}{9} $
- $ 3\frac{2}{3} = \frac{11}{3} = \frac{33}{9} $
- $ \frac{58}{9} - \frac{33}{9} = \frac{25}{9} = 2\frac{7}{9} \approx 2.777... $
✔ Final answer: $ \boxed{2\frac{7}{9}} $
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#### Question 1:
a) 18
b) 324
c) 1510
d) 328
e) 2401
f) 172
g) 2375
h) 1184
i) 199
j) 154
k) 127
l) 456
#### Question 2:
a) 5.25
b) 6.355
c) 23.543
d) 1.96
e) 25.76
f) 37.84
g) 18.09
h) 1.68
i) 22.64
j) 22.66
k) 4.953
l) 8.04
#### Question 3:
a) $ \frac{3}{5} $ or 0.6
b) $ \frac{1}{5} $ or 0.2
c) $ \frac{1}{5} $ or 0.2
d) $ \frac{5}{24} $ or ≈0.2083
e) $ \frac{1}{2} $ or 0.5
f) $ \frac{1}{3} $ or ≈0.333
g) $ \frac{19}{24} $ or ≈0.7917
h) $ \frac{5}{12} $ or ≈0.4167
i) $ \frac{1}{5} $ or 0.2
#### Question 4:
a) 137
b) 411
c) 1046
d) 359
e) 397
f) 54
g) 1.08
h) 2.00
i) 4.76
j) 11.10
k) 21.67
l) 13.70
#### Question 5:
a) $ \frac{5}{8} $ or 0.625
b) $ 7\frac{1}{30} $ or ≈7.0333
c) $ 2\frac{7}{9} $ or ≈2.777...
---
Let me know if you'd like this formatted as a printable worksheet or need help with calculator steps!
---
QUESTION 1: Use a calculator to work out the following.
These are whole number subtractions.
a) $ 83 - 65 = 18 $
b) $ 836 - 512 = 324 $
c) $ 2835 - 1325 = 1510 $
d) $ 897 - 569 = 328 $
e) $ 5635 - 3234 = 2401 $
f) $ 561 - 389 = 172 $
g) $ 8364 - 5989 = 2375 $
h) $ 5380 - 4196 = 1184 $
i) $ 968 - 769 = 199 $
j) $ 589 - 435 = 154 $
k) $ 665 - 538 = 127 $
l) $ 2315 - 1859 = 456 $
✔ All done with simple subtraction.
---
QUESTION 2: Calculate the following (decimals)
a) $ 8.75 - 3.5 = 5.25 $
b) $ 9.689 - 3.334 = 6.355 $
c) $ 27.89 - 4.347 = 23.543 $
d) $ 15.69 - 13.73 = 1.96 $
e) $ 89.49 - 63.73 = 25.76 $
f) $ 85.63 - 47.79 = 37.84 $
g) $ 36.45 - 18.36 = 18.09 $
h) $ 19.56 - 17.88 = 1.68 $
i) $ 38.63 - 15.99 = 22.64 $
j) $ 91.23 - 68.57 = 22.66 $
k) $ 43.31 - 38.357 = 4.953 $
l) $ 61.93 - 53.89 = 8.04 $
✔ Subtract decimals carefully, aligning decimal points.
---
QUESTION 3: Use your calculator to find the following (fractions)
You can enter fractions into a calculator as decimals or use fraction functions.
a) $ \frac{4}{5} - \frac{1}{5} = \frac{3}{5} = 0.6 $
b) $ \frac{4}{15} - \frac{1}{15} = \frac{3}{15} = \frac{1}{5} = 0.2 $
c) $ \frac{3}{10} - \frac{1}{10} = \frac{2}{10} = \frac{1}{5} = 0.2 $
d) $ \frac{7}{8} - \frac{2}{3} $ → Common denominator: $ \frac{21}{24} - \frac{16}{24} = \frac{5}{24} \approx 0.2083 $
e) $ \frac{5}{6} - \frac{1}{3} = \frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2} = 0.5 $
f) $ \frac{2}{5} - \frac{1}{15} = \frac{6}{15} - \frac{1}{15} = \frac{5}{15} = \frac{1}{3} \approx 0.333 $
g) $ 1 - \frac{5}{24} = \frac{24}{24} - \frac{5}{24} = \frac{19}{24} \approx 0.7917 $
h) $ \frac{2}{3} - \frac{1}{4} = \frac{8}{12} - \frac{3}{12} = \frac{5}{12} \approx 0.4167 $
i) $ \frac{11}{20} - \frac{7}{20} = \frac{4}{20} = \frac{1}{5} = 0.2 $
✔ For fractions, ensure common denominators or convert to decimals.
---
QUESTION 4: Use your calculator to simplify the following
a) $ 512 - 375 = 137 $
b) $ 2348 - 1937 = 411 $
c) $ 5632 - 4586 = 1046 $
d) $ 896 - 537 = 359 $
e) $ 835 - 438 = 397 $
f) $ 253 - 199 = 54 $
g) $ 8.35 - 7.27 = 1.08 $
h) $ 9.89 - 7.89 = 2.00 $
i) $ 19.65 - 14.89 = 4.76 $
j) $ 48.67 - 37.57 = 11.10 $
k) $ 61.32 - 39.65 = 21.67 $
l) $ 53.69 - 39.99 = 13.70 $
✔ Again, straightforward subtraction with decimals.
---
QUESTION 5: Use a calculator to find the answer (mixed numbers)
Convert mixed numbers to improper fractions or decimals.
a) $ 5\frac{7}{8} - 5\frac{2}{8} = (5 + \frac{7}{8}) - (5 + \frac{2}{8}) = \frac{7}{8} - \frac{2}{8} = \frac{5}{8} = 0.625 $
b) $ 12\frac{7}{10} - 5\frac{2}{3} $
First, convert:
- $ 12\frac{7}{10} = 12 + 0.7 = 12.7 $
- $ 5\frac{2}{3} \approx 5 + 0.6667 = 5.6667 $
Now subtract:
$ 12.7 - 5.6667 = 7.0333 $
Or in fractions:
- $ 12\frac{7}{10} = \frac{127}{10} $
- $ 5\frac{2}{3} = \frac{17}{3} $
- $ \frac{127}{10} - \frac{17}{3} = \frac{381 - 170}{30} = \frac{211}{30} = 7\frac{1}{30} \approx 7.0333 $
So answer: $ \boxed{7\frac{1}{30}} $ or $ \boxed{7.0333} $
c) $ 6\frac{4}{9} - 3\frac{2}{3} $
Convert:
- $ 6\frac{4}{9} = \frac{58}{9} $
- $ 3\frac{2}{3} = \frac{11}{3} = \frac{33}{9} $
- $ \frac{58}{9} - \frac{33}{9} = \frac{25}{9} = 2\frac{7}{9} \approx 2.777... $
✔ Final answer: $ \boxed{2\frac{7}{9}} $
---
✔ Final Answers Summary:
#### Question 1:
a) 18
b) 324
c) 1510
d) 328
e) 2401
f) 172
g) 2375
h) 1184
i) 199
j) 154
k) 127
l) 456
#### Question 2:
a) 5.25
b) 6.355
c) 23.543
d) 1.96
e) 25.76
f) 37.84
g) 18.09
h) 1.68
i) 22.64
j) 22.66
k) 4.953
l) 8.04
#### Question 3:
a) $ \frac{3}{5} $ or 0.6
b) $ \frac{1}{5} $ or 0.2
c) $ \frac{1}{5} $ or 0.2
d) $ \frac{5}{24} $ or ≈0.2083
e) $ \frac{1}{2} $ or 0.5
f) $ \frac{1}{3} $ or ≈0.333
g) $ \frac{19}{24} $ or ≈0.7917
h) $ \frac{5}{12} $ or ≈0.4167
i) $ \frac{1}{5} $ or 0.2
#### Question 4:
a) 137
b) 411
c) 1046
d) 359
e) 397
f) 54
g) 1.08
h) 2.00
i) 4.76
j) 11.10
k) 21.67
l) 13.70
#### Question 5:
a) $ \frac{5}{8} $ or 0.625
b) $ 7\frac{1}{30} $ or ≈7.0333
c) $ 2\frac{7}{9} $ or ≈2.777...
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Let me know if you'd like this formatted as a printable worksheet or need help with calculator steps!
Parent Tip: Review the logic above to help your child master the concept of yr 8 maths worksheet.