Chapter review

Original cumulative chapter practice to consolidate taught ideas.

Original cumulative chapter practice to consolidate taught ideas. Solutions are available as revealable feedback and in a separate complete answer key. No answer submissions or accounts are required.

Assessment · 26 questions

Questions

Show your thinking; use diagrams when they help. Do not open solutions during your first attempt.

A1
Express 840 cm as m and cm.
Reveal explanation
Answer: 8 m 40 cm
Partition 840 into 8 full groups of 100 plus 40.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A2
Subtract 52 cm from 2 m 20 cm. Give mixed units.
Reveal explanation
Answer: 1 m 68 cm
Exchange one m for 100 cm, then subtract: 220 − 52 = 168 cm. Regroup the result into m and cm.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A3
Express 4,250 m as km and m.
Reveal explanation
Answer: 4 km 250 m
Partition 4,250 into 4 full groups of 1,000 plus 250.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A4
Subtract 965 m from 2 km 20 m. Give mixed units.
Reveal explanation
Answer: 1 km 55 m
Exchange one km for 1000 m, then subtract: 2020 − 965 = 1055 m. Regroup the result into km and m.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A5
Express 3,875 mL as L and mL.
Reveal explanation
Answer: 3 L 875 mL
Partition 3,875 into 3 full groups of 1,000 plus 875.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A6
Express 6,065 g as kg and g.
Reveal explanation
Answer: 6 kg 65 g
Partition 6,065 into 6 full groups of 1,000 plus 65.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A7
A route is 5 km 375 m long. A walker finishes 1219 m of the route. How far remains? Express in km and m.
Reveal explanation
Answer: 4 km 156 m
The route is 5375 m. Subtract 1219 m to get 4156 m; regroup into kilometers and meters.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A8
Convert 2 m 75 cm into cm.
Reveal explanation
Answer: 275 cm
2 m = 200 cm; add 75 to make 275 cm.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A9
Subtract 84 cm from 2 m 80 cm. Give mixed units.
Reveal explanation
Answer: 1 m 96 cm
Exchange one m for 100 cm, then subtract: 280 − 84 = 196 cm. Regroup the result into m and cm.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A10
Convert 6 km 375 m into m.
Reveal explanation
Answer: 6,375 m
6 km = 6,000 m; add 375 to make 6,375 m.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A11
Subtract 382 m from 5 km 125 m. Give mixed units.
Reveal explanation
Answer: 4 km 743 m
Exchange one km for 1000 m, then subtract: 5125 − 382 = 4743 m. Regroup the result into km and m.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A12
Convert 6 L 875 mL into mL.
Reveal explanation
Answer: 6,875 mL
6 L = 6,000 mL; add 875 to make 6,875 mL.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A13
Convert 4 kg 40 g into g.
Reveal explanation
Answer: 4,040 g
4 kg = 4,000 g; add 40 to make 4,040 g.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A14
A route is 5 km 20 m long. A walker finishes 1312 m of the route. How far remains? Express in km and m.
Reveal explanation
Answer: 3 km 708 m
The route is 5020 m. Subtract 1312 m to get 3708 m; regroup into kilometers and meters.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A15
Express 855 cm as m and cm.
Reveal explanation
Answer: 8 m 55 cm
Partition 855 into 8 full groups of 100 plus 55.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A16
Subtract 88 cm from 4 m 80 cm. Give mixed units.
Reveal explanation
Answer: 3 m 92 cm
Exchange one m for 100 cm, then subtract: 480 − 88 = 392 cm. Regroup the result into m and cm.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A17
Express 4,055 m as km and m.
Reveal explanation
Answer: 4 km 55 m
Partition 4,055 into 4 full groups of 1,000 plus 55.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A18
Subtract 903 m from 8 km 375 m. Give mixed units.
Reveal explanation
Answer: 7 km 472 m
Exchange one km for 1000 m, then subtract: 8375 − 903 = 7472 m. Regroup the result into km and m.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A19
Express 8,875 mL as L and mL.
Reveal explanation
Answer: 8 L 875 mL
Partition 8,875 into 8 full groups of 1,000 plus 875.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A20
Express 3,020 g as kg and g.
Reveal explanation
Answer: 3 kg 20 g
Partition 3,020 into 3 full groups of 1,000 plus 20.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A21
A route is 7 km 55 m long. A walker finishes 1846 m of the route. How far remains? Express in km and m.
Reveal explanation
Answer: 5 km 209 m
The route is 7055 m. Subtract 1846 m to get 5209 m; regroup into kilometers and meters.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A22
Convert 2 m 50 cm into cm.
Reveal explanation
Answer: 250 cm
2 m = 200 cm; add 50 to make 250 cm.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A23
Subtract 87 cm from 3 m 55 cm. Give mixed units.
Reveal explanation
Answer: 2 m 68 cm
Exchange one m for 100 cm, then subtract: 355 − 87 = 268 cm. Regroup the result into m and cm.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A24
Convert 8 km 20 m into m.
Reveal explanation
Answer: 8,020 m
8 km = 8,000 m; add 20 to make 8,020 m.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A25
Explain how to subtract 70 cm from 5 m 20 cm without writing a negative number of centimeters.
Reveal explanation
Answer: 4 m 50 cm
Exchange 1 m for 100 cm: 4 m 120 cm − 70 cm = 4 m 50 cm.
A26
A student claims 4 m 50 cm means 450 m. What unit should the total use?
Reveal explanation
Answer: 450 cm
There are 100 centimeters in one meter, so 4 m 50 cm equals 450 cm, not meters.

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