3A · Chapter 3 · Practice
Consolidation practice
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 · 18 questions
Problems
The complete solutions are available here after each question and on the printable answer-key page.
- A1
Add 3,668 and 1,047. Explain one exchange of ten units.
Show answer and reasoning
Answer: 4715
Combine ones, tens, hundreds, and thousands. Exchange 10 units for 1 in the next column whenever needed; 3,668 + 1,047 = 4,715.
- A2
Add 438 and 1,177. Explain one exchange of ten units.
Show answer and reasoning
Answer: 1615
Combine ones, tens, hundreds, and thousands. Exchange 10 units for 1 in the next column whenever needed; 438 + 1,177 = 1,615.
- A3
Add 608 and 1,317. Explain one exchange of ten units.
Show answer and reasoning
Answer: 1925
Combine ones, tens, hundreds, and thousands. Exchange 10 units for 1 in the next column whenever needed; 608 + 1,317 = 1,925.
- A4
Subtract 3,662 − 758; show any place-value exchange.
Show answer and reasoning
Answer: 2904
Exchange a larger unit into 10 smaller units when needed. Preserve the total and subtract. Difference = 2,904; add 758 to check.
- A5
Subtract 1,012 − 818; show any place-value exchange.
Show answer and reasoning
Answer: 194
Exchange a larger unit into 10 smaller units when needed. Preserve the total and subtract. Difference = 194; add 818 to check.
- A6
Subtract 1,172 − 888; show any place-value exchange.
Show answer and reasoning
Answer: 284
Exchange a larger unit into 10 smaller units when needed. Preserve the total and subtract. Difference = 284; add 888 to check.
- A7
Calculate 1,000 − 777; explain how you cross the zero places.
Show answer and reasoning
Answer: 223
Rename a nonzero higher-place unit to supply ten of the next smaller units; continue exchanging across zeros. 1,000 − 777 = 223.
- A8
Calculate 2,020 − 850; explain how you cross the zero places.
Show answer and reasoning
Answer: 1170
Rename a nonzero higher-place unit to supply ten of the next smaller units; continue exchanging across zeros. 2,020 − 850 = 1,170.
- A9
Calculate 3,040 − 343; explain how you cross the zero places.
Show answer and reasoning
Answer: 2697
Rename a nonzero higher-place unit to supply ten of the next smaller units; continue exchanging across zeros. 3,040 − 343 = 2,697.
- A10
Estimate 7,303 + 1,191 by rounding BOTH numbers to the nearest 10.
Show answer and reasoning
Answer: 8,490
Round 7,303 to 7,300 and 1,191 to 1,190. Estimate 7,300 + 1,190 = 8,490; it need not equal the exact answer.
- A11
Estimate 7,634 + 1,382 by rounding BOTH numbers to the nearest 100.
Show answer and reasoning
Answer: 9,000
Round 7,634 to 7,600 and 1,382 to 1,400. Estimate 7,600 + 1,400 = 9,000; it need not equal the exact answer.
- A12
Estimate 1,065 + 1,573 by rounding BOTH numbers to the nearest 10.
Show answer and reasoning
Answer: 2,640
Round 1,065 to 1,070 and 1,573 to 1,570. Estimate 1,070 + 1,570 = 2,640; it need not equal the exact answer.
- A13
Estimate 7,023 − 1,611 by rounding BOTH numbers to the nearest 10.
Show answer and reasoning
Answer: 5,410
Round 7,023 to 7,020 and 1,611 to 1,610. Estimate 7,020 − 1,610 = 5,410; it need not equal the exact answer.
- A14
Estimate 7,354 − 1,802 by rounding BOTH numbers to the nearest 100.
Show answer and reasoning
Answer: 5,600
Round 7,354 to 7,400 and 1,802 to 1,800. Estimate 7,400 − 1,800 = 5,600; it need not equal the exact answer.
- A15
Estimate 7,685 − 293 by rounding BOTH numbers to the nearest 10.
Show answer and reasoning
Answer: 7,400
Round 7,685 to 7,690 and 293 to 290. Estimate 7,690 − 290 = 7,400; it need not equal the exact answer.
- A16
A museum had 2,984 tickets and sold 1,035. How many tickets remain?
Show answer and reasoning
Answer: 1949
Identify the whole and its parts, then compute 2,984 − 1,035 = 1,949. Estimate to hundreds to check size.
- A17
An exhibit recorded 3,207 visitors in the morning and 1,106 more in the afternoon. How many altogether?
Show answer and reasoning
Answer: 4313
Identify the whole and its parts, then compute 3,207 + 1,106 = 4,313. Estimate to hundreds to check size.
- A18
A museum had 3,430 tickets and sold 277. How many tickets remain?
Show answer and reasoning
Answer: 3153
Identify the whole and its parts, then compute 3,430 − 277 = 3,153. Estimate to hundreds to check size.