Adding and subtracting using partitioning

Adding and subtracting using partitioning

Lesson details

Key learning points

  1. In this lesson, we will use partitioning to add and subtract large integers, both where regrouping is required and where it is not needed.

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5 Questions

Q1.
What is the 'round and adjust' strategy?
The strategy involves rounding numbers to get an approximate answer.
Correct answer: The strategy involves rounding part of an equation to the nearest multiple of 10, 100, 1000, 10 000 or 100 000. Then, adjust for this rounding afterwards.
The strategy involves using partitioning to add and subtract.
The strategy involves using the column method to add and subtract.
Q2.
2. Use 'rounding and adjusting' to solve: 53 700 + 3998 =
57 598
Correct answer: 57 698
57 798
57 898
Q3.
3. Use 'rounding and adjusting' to solve: 6880 - 2990 =
1890
Correct answer: 3890
4890
5890
Q4.
4. Use 'rounding and adjusting' to solve: 17 456 + 1980 =
19 136
19 236
19 336
Correct answer: 19 436
Q5.
5. Use 'rounding and adjusting' to solve: 215 678 + 3800 =
217 478
218 478
Correct answer: 219 478
220 478

5 Questions

Q1.
Which equation demonstrates how the number 346 000 can be partitioned?
30 000 + 4000 + 600
300 + 40 + 6
Correct answer: 300 000 + 40 000 + 6000
3000 + 400 + 60
Q2.
2. Use partitioning to solve the equation: 723 000 + 15 000 =
728 000
Correct answer: 738 000
748 000
758 000
Q3.
3. Use partitioning to solve the equation: 456 000 - 132 000 =
234 000
235 000
Correct answer: 324 000
325 000
Q4.
4. Use partitioning to solve the equation: 158 000 + 26 000 =
164 000
174 000
178 000
Correct answer: 184 000
Q5.
5. Use partitioning to solve the equation: 738 000 - 156 000 =
482 000
Correct answer: 582 000
682 000
782 000

Lesson appears in

UnitMaths / Problem solving with integer addition and subtraction