Chapter 2 — cumulative chapter review
Semester 4A · Chapter 2 · 33 questions
This review integrates every chapter learning objective. Try questions before revealing answers.
Calculate 453,806 + 144,541.
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Align the place values; add ones, tens, hundreds and higher units, exchanging 10 of one unit for 1 of the next when needed.
Calculate 526,628 − 148,186.
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Subtract like place values, exchanging one higher unit for ten lower units when necessary. Check: 378,442 + 148,186 = 526,628.
Use compensation to add 273,644 and 76,432. What is the exact sum?
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Increase 273,644 by 356 to a friendly multiple of 1,000, then subtract 356 from the sum to preserve the total.
Calculate 555,323 − 147,283 by adding 100 to both quantities first. What answer do you get?
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Equal adjustment preserves the difference: (555,423) − (147,383) = 408,040.
A library had 150,403 books, received 161,677 more, then lent 80,838. How many books are there now?
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First add 312,080. Then subtract 80,838 to obtain 231,242.
Calculate 645,936 + 111,442.
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Align the place values; add ones, tens, hundreds and higher units, exchanging 10 of one unit for 1 of the next when needed.
Calculate 622,758 − 146,027.
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Subtract like place values, exchanging one higher unit for ten lower units when necessary. Check: 476,731 + 146,027 = 622,758.
Use compensation to add 248,577 and 79,607. What is the exact sum?
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Increase 248,577 by 23 to a friendly multiple of 100, then subtract 23 from the sum to preserve the total.
Calculate 206,180 − 89,136 by adding 100 to both quantities first. What answer do you get?
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Equal adjustment preserves the difference: (206,280) − (89,236) = 117,044.
Alex and Bea have 651,246 points together. Bea has 1,988 more than Alex. How many does Alex have?
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Remove the extra 1,988 from the whole and split the rest into two equal parts: (651,246 − 1,988) ÷ 2 = 324,629.
Calculate 203,785 + 145,068.
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Align the place values; add ones, tens, hundreds and higher units, exchanging 10 of one unit for 1 of the next when needed.
Calculate 294,944 − 56,837.
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Subtract like place values, exchanging one higher unit for ten lower units when necessary. Check: 238,107 + 56,837 = 294,944.
Use compensation to add 610,167 and 149,382. What is the exact sum?
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Increase 610,167 by 833 to a friendly multiple of 1,000, then subtract 833 from the sum to preserve the total.
Calculate 802,395 − 168,272 by adding 10 to both quantities first. What answer do you get?
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Equal adjustment preserves the difference: (802,405) − (168,282) = 634,123.
A library had 351,596 books, received 47,598 more, then lent 23,799. How many books are there now?
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First add 399,194. Then subtract 23,799 to obtain 375,395.
Calculate 458,941 + 49,367.
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Align the place values; add ones, tens, hundreds and higher units, exchanging 10 of one unit for 1 of the next when needed.
Calculate 457,642 − 55,466.
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Subtract like place values, exchanging one higher unit for ten lower units when necessary. Check: 402,176 + 55,466 = 457,642.
Use compensation to add 13,672 and 134,166. What is the exact sum?
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Increase 13,672 by 8 to a friendly multiple of 10, then subtract 8 from the sum to preserve the total.
Calculate 261,087 − 128,944 by adding 100 to both quantities first. What answer do you get?
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Equal adjustment preserves the difference: (261,187) − (129,044) = 132,143.
A library had 675,818 books, received 3,625 more, then lent 1,812. How many books are there now?
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First add 679,443. Then subtract 1,812 to obtain 677,631.
Calculate 468,484 + 97,268.
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Align the place values; add ones, tens, hundreds and higher units, exchanging 10 of one unit for 1 of the next when needed.
Calculate 653,244 − 5,595.
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Subtract like place values, exchanging one higher unit for ten lower units when necessary. Check: 647,649 + 5,595 = 653,244.
Use compensation to add 171,243 and 95,374. What is the exact sum?
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Increase 171,243 by 7 to a friendly multiple of 10, then subtract 7 from the sum to preserve the total.
Calculate 420,512 − 1,772 by adding 50 to both quantities first. What answer do you get?
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Equal adjustment preserves the difference: (420,562) − (1,822) = 418,740.
Alex and Bea have 583,143 points together. Bea has 5,823 more than Alex. How many does Alex have?
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Remove the extra 5,823 from the whole and split the rest into two equal parts: (583,143 − 5,823) ÷ 2 = 288,660.
Calculate 607,738 + 160,526.
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Align the place values; add ones, tens, hundreds and higher units, exchanging 10 of one unit for 1 of the next when needed.
Calculate 793,605 − 132,238.
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Subtract like place values, exchanging one higher unit for ten lower units when necessary. Check: 661,367 + 132,238 = 793,605.
Find 45,900 + 820 without losing the hundreds and tens. Explain how place values align.
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Add matching place-value units: 45,900+820=46,720.
Find 73,002 − 9 and explain how regrouping across zeros works.
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Exchange from higher places so the ones column contains enough ones. The difference is 72,993.
A student says 299 + 70 = 300 + 70. Identify the compensation error and find the actual sum.
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Increasing 299 to 300 adds one extra, which must be removed: 300 + 70 − 1 = 369.
Explain why 613 − 148 = 615 − 150. Find the common difference.
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Adding two to both quantities preserves their difference: 465.
Two classes collect 12175 cans. Class B collects 1829 more than Class A. A student divides the total by 2 without removing the difference. Explain the mistake and find Class A.
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Remove the extra 1829, then split the remaining 10346 equally: (12175 − 1829) ÷ 2 = 5173.
Find 15,900 + 770 without losing the hundreds and tens. Explain how place values align.
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Add matching place-value units: 15,900+770=16,670.