3A · Chapter 5 · Practice
Chapter review
Attempt independently, then review the full reasoning in the answer key.
Attempt independently, then review the full reasoning in the answer key. No name, account, or answer is transmitted to any server.
Assessment · 32 questions
Problems
The complete solutions are available here after each question and on the printable answer-key page.
- A1
Calculate 45 × 2 and show the exchanges.
Show answer and reasoning
Answer: 90
45×2 = 0 + 80 + 10 = 90; combine partial products and exchange groups of ten.
- A2
Calculate 127 × 2 and show the exchanges.
Show answer and reasoning
Answer: 254
127×2 = 200 + 40 + 14 = 254; combine partial products and exchange groups of ten.
- A3
Calculate 55 × 3 and show the exchanges.
Show answer and reasoning
Answer: 165
55×3 = 0 + 150 + 15 = 165; combine partial products and exchange groups of ten.
- A4
Find 7 × 20; explain the units of the product.
Show answer and reasoning
Answer: 140
20 is 2 groups of 10; 7×2=14 groups of 10 equals 140.
- A5
Calculate 347×2 and identify every exchanged place-value group.
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Answer: 694
7×2=14 ones (carry 1 ten); 4×2+1=9 tens; 3×2=6 hundreds.
- A6
Calculate 35 × 2 and show the exchanges.
Show answer and reasoning
Answer: 70
35×2 = 0 + 60 + 10 = 70; combine partial products and exchange groups of ten.
- A7
Calculate 82 × 3 and show the exchanges.
Show answer and reasoning
Answer: 246
82×3 = 0 + 240 + 6 = 246; combine partial products and exchange groups of ten.
- A8
Calculate 321 × 3 using partial products.
Show answer and reasoning
Answer: 963
Split 321 by place value; multiply each part by 3 and add. Total is 963.
- A9
Calculate 15 × 2 and show the exchanges.
Show answer and reasoning
Answer: 30
15×2 = 0 + 20 + 10 = 30; combine partial products and exchange groups of ten.
- A10
Find 8 × 500; explain the units of the product.
Show answer and reasoning
Answer: 4000
500 is 5 groups of 100; 8×5=40 groups of 100 equals 4,000.
- A11
Calculate 75 × 3 and show the exchanges.
Show answer and reasoning
Answer: 225
75×3 = 0 + 210 + 15 = 225; combine partial products and exchange groups of ten.
- A12
Calculate 85 × 3 and show the exchanges.
Show answer and reasoning
Answer: 255
85×3 = 0 + 240 + 15 = 255; combine partial products and exchange groups of ten.
- A13
Calculate 52 × 3 and show the exchanges.
Show answer and reasoning
Answer: 156
52×3 = 0 + 150 + 6 = 156; combine partial products and exchange groups of ten.
- A14
Calculate 285 × 3 and show the exchanges.
Show answer and reasoning
Answer: 855
285×3 = 600 + 240 + 15 = 855; combine partial products and exchange groups of ten.
- A15
Calculate 227 × 2 and show the exchanges.
Show answer and reasoning
Answer: 454
227×2 = 400 + 40 + 14 = 454; combine partial products and exchange groups of ten.
- A16
Calculate 62 × 3 and show the exchanges.
Show answer and reasoning
Answer: 186
62×3 = 0 + 180 + 6 = 186; combine partial products and exchange groups of ten.
- A17
Calculate 185 × 3 and show the exchanges.
Show answer and reasoning
Answer: 555
185×3 = 300 + 240 + 15 = 555; combine partial products and exchange groups of ten.
- A18
Calculate 475 × 3 and show the exchanges.
Show answer and reasoning
Answer: 1425
475×3 = 1200 + 210 + 15 = 1425; combine partial products and exchange groups of ten.
- A19
Calculate 223 × 2 using partial products.
Show answer and reasoning
Answer: 446
Split 223 by place value; multiply each part by 2 and add. Total is 446.
- A20
A store packs 4 trays with 186 apples each, and 17 apples remain unpacked. How many apples were there?
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Answer: 761
4×186=744, plus 17 unpacked makes 761.
- A21
Find 2 × 80; explain the units of the product.
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Answer: 160
80 is 8 groups of 10; 2×8=16 groups of 10 equals 160.
- A22
Calculate 317 × 2 and show the exchanges.
Show answer and reasoning
Answer: 634
317×2 = 600 + 20 + 14 = 634; combine partial products and exchange groups of ten.
- A23
Find 6 × 800; explain the units of the product.
Show answer and reasoning
Answer: 4800
800 is 8 groups of 100; 6×8=48 groups of 100 equals 4,800.
- A24
Calculate 327 × 2 and show the exchanges.
Show answer and reasoning
Answer: 654
327×2 = 600 + 40 + 14 = 654; combine partial products and exchange groups of ten.
- A25
Calculate 331 × 2 using partial products.
Show answer and reasoning
Answer: 662
Split 331 by place value; multiply each part by 2 and add. Total is 662.
- A26
A student says 86×3=2418, joining the products 24 and 18. Correct using partial products.
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Answer: 258
80×3=240 and 6×3=18; add 240+18=258, not concatenate them.
- A27
Explain why 9×200 is 1,800 rather than 18.
Show answer and reasoning
Answer: Two hundreds is 200
9×2 hundreds=18 hundreds=1,800 ones.
- A28
Calculate 375 × 3 and show the exchanges.
Show answer and reasoning
Answer: 1125
375×3 = 900 + 210 + 15 = 1125; combine partial products and exchange groups of ten.
- A29
Calculate 65 × 3 and show the exchanges.
Show answer and reasoning
Answer: 195
65×3 = 0 + 180 + 15 = 195; combine partial products and exchange groups of ten.
- A30
Calculate 25 × 2 and show the exchanges.
Show answer and reasoning
Answer: 50
25×2 = 0 + 40 + 10 = 50; combine partial products and exchange groups of ten.
- A31
Calculate 72 × 3 and show the exchanges.
Show answer and reasoning
Answer: 216
72×3 = 0 + 210 + 6 = 216; combine partial products and exchange groups of ten.
- A32
Calculate 331 × 3 using partial products.
Show answer and reasoning
Answer: 993
Split 331 by place value; multiply each part by 3 and add. Total is 993.