Curriculum›4A›Chapter 2

Practice A: Addition and Subtraction

Chapter 2 · Consolidation 1

Mixed consolidation. Attempt problems independently before revealing the solutions.

Question 1 · calculation

Calculate 474,869 + 110,333.

Show answer & reasoning
585,202

Align the place values; add ones, tens, hundreds and higher units, exchanging 10 of one unit for 1 of the next when needed.

Question 2 · calculation

Calculate 635,468 − 1,190.

Show answer & reasoning
634,278

Subtract like place values, exchanging one higher unit for ten lower units when necessary. Check: 634,278 + 1,190 = 635,468.

Question 3 · strategy

Use compensation to add 410,958 and 95,813. What is the exact sum?

Show answer & reasoning
506,771

Increase 410,958 by 42 to a friendly multiple of 1,000, then subtract 42 from the sum to preserve the total.

Question 4 · strategy

Calculate 460,622 − 188,573 by adding 50 to both quantities first. What answer do you get?

Show answer & reasoning
272,049

Equal adjustment preserves the difference: (460,672) − (188,623) = 272,049.

Question 5 · application

A library had 83,407 books, received 151,453 more, then lent 75,726. How many books are there now?

Show answer & reasoning
159,134

First add 234,860. Then subtract 75,726 to obtain 159,134.

Question 6 · calculation

Calculate 36,424 + 39,208.

Show answer & reasoning
75,632

Align the place values; add ones, tens, hundreds and higher units, exchanging 10 of one unit for 1 of the next when needed.

Question 7 · calculation

Calculate 262,637 − 11,288.

Show answer & reasoning
251,349

Subtract like place values, exchanging one higher unit for ten lower units when necessary. Check: 251,349 + 11,288 = 262,637.

Question 8 · strategy

Use compensation to add 167,544 and 63,239. What is the exact sum?

Show answer & reasoning
230,783

Increase 167,544 by 6 to a friendly multiple of 10, then subtract 6 from the sum to preserve the total.

Question 9 · strategy

Calculate 108,318 − 39,404 by adding 50 to both quantities first. What answer do you get?

Show answer & reasoning
68,914

Equal adjustment preserves the difference: (108,368) − (39,454) = 68,914.

Question 10 · application

A library had 365,453 books, received 112,956 more, then lent 56,478. How many books are there now?

Show answer & reasoning
421,931

First add 478,409. Then subtract 56,478 to obtain 421,931.

Question 11 · calculation

Calculate 320,324 + 23,471.

Show answer & reasoning
343,795

Align the place values; add ones, tens, hundreds and higher units, exchanging 10 of one unit for 1 of the next when needed.

Question 12 · calculation

Calculate 441,071 − 68,953.

Show answer & reasoning
372,118

Subtract like place values, exchanging one higher unit for ten lower units when necessary. Check: 372,118 + 68,953 = 441,071.

Question 13 · strategy

Use compensation to add 436,545 and 65,198. What is the exact sum?

Show answer & reasoning
501,743

Increase 436,545 by 5 to a friendly multiple of 10, then subtract 5 from the sum to preserve the total.

Question 14 · strategy

Calculate 514,739 − 8,376 by adding 50 to both quantities first. What answer do you get?

Show answer & reasoning
506,363

Equal adjustment preserves the difference: (514,789) − (8,426) = 506,363.

Question 15 · bar model

Alex and Bea have 537,378 points together. Bea has 5,348 more than Alex. How many does Alex have?

Show answer & reasoning
266,015

Remove the extra 5,348 from the whole and split the rest into two equal parts: (537,378 − 5,348) ÷ 2 = 266,015.

Question 16 · calculation

Calculate 369,143 + 199,690.

Show answer & reasoning
568,833

Align the place values; add ones, tens, hundreds and higher units, exchanging 10 of one unit for 1 of the next when needed.

Question 17 · calculation

Calculate 753,307 − 164,453.

Show answer & reasoning
588,854

Subtract like place values, exchanging one higher unit for ten lower units when necessary. Check: 588,854 + 164,453 = 753,307.

Question 18 · strategy

Use compensation to add 174,505 and 163,875. What is the exact sum?

Show answer & reasoning
338,380

Increase 174,505 by 495 to a friendly multiple of 1,000, then subtract 495 from the sum to preserve the total.