Question

1. find the equivalent measures.

a. 5 km = m
b. 13 km = m
c. km = 17,000 m
d. 60 km = m
e. 7 m = cm
f. 19 m = cm
g. m = 2,400 cm
h. 90 m = cm

1. find the equivalent measures.

a. 7 km 123 m = m
b. 22 km 22 m = m
c. 875 km 4 m = m
d. 7 m 45 cm = cm
e. 67 m 7 cm = cm
f. 204 m 89 cm = cm

1. solve.

a. 2 km 303 m - 556 m
b. 2 m - 54 cm
c. express your answer in the smaller unit: 338 km 853 m + 62 km 71 m
d. express your answer in the smaller unit: 800 m 35 cm - 154 m 49 cm
e. 701 km - 523 km 445 m
f. 231 km 811 m + 485 km 829 m

Explanation:

Step1: Recall conversion factors

1 km = 1000 m, 1 m = 100 cm

Step2: Solve 1.a

$5\times1000 = 5000$ m

Step3: Solve 1.b

$13\times1000=13000$ m

Step4: Solve 1.c

$17000\div1000 = 17$ km

Step5: Solve 1.d

$60\times1000 = 60000$ m

Step6: Solve 1.e

$7\times100 = 700$ cm

Step7: Solve 1.f

$19\times100 = 1900$ cm

Step8: Solve 1.g

$2400\div100 = 24$ m

Step9: Solve 1.h

$90\times100 = 9000$ cm

Step10: Solve 2.a

$7\times1000+123=7123$ m

Step11: Solve 2.b

$22\times1000 + 22=22022$ m

Step12: Solve 2.c

$875\times1000+4 = 875004$ m

Step13: Solve 2.d

$7\times100+45 = 745$ cm

Step14: Solve 2.e

$67\times100+7 = 6707$ cm

Step15: Solve 2.f

$204\times100+89 = 20489$ cm

Step16: Solve 3.a

$2\times1000+303-556=2303 - 556=1747$ m

Step17: Solve 3.b

$2\times100-54 = 200 - 54=146$ cm

Step18: Solve 3.c

$(338\times1000 + 853)+(62\times1000+71)=338853+62071 = 400924$ m

Step19: Solve 3.d

$(800\times100+35)-(154\times100 + 49)=80035-15449 = 64586$ cm

Step20: Solve 3.e

$701\times1000-(523\times1000+445)=701000 - 523445=177555$ m

Step21: Solve 3.f

$(231\times1000+811)+(485\times1000+829)=231811+485829 = 717640$ m

Answer:

1.a. 5000 m
1.b. 13000 m
1.c. 17 km
1.d. 60000 m
1.e. 700 cm
1.f. 1900 cm
1.g. 24 m
1.h. 9000 cm
2.a. 7123 m
2.b. 22022 m
2.c. 875004 m
2.d. 745 cm
2.e. 6707 cm
2.f. 20489 cm
3.a. 1747 m
3.b. 146 cm
3.c. 400924 m
3.d. 64586 cm
3.e. 177555 m
3.f. 717640 m