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1. $4^{\circ}=$____$^{\prime}$
答案
240
2. $4.5^{\prime}=$____$^{\prime\prime}$
答案
270
解析
因为$1' = 60''$，所以$4.5' = 4.5×60'' = 270''$。
270
270
3. $18^{\prime\prime}=$____$^{\prime}$
答案
0.3
4. $900^{\prime}=$____$^{\circ}$
答案
15
解析
因为 $1^{\circ}=60'$，所以 $900' = 900÷60 = 15^{\circ}$。
15
15
5. $36^{\circ}36^{\prime}36^{\prime\prime}=$____$^{\circ}$
答案
36.61
解析
因为$1''=\left(\dfrac{1}{60}\right)'$，所以$36''=36×\left(\dfrac{1}{60}\right)'=0.6'$；则$36'+0.6'=36.6'$。
又因为$1'=\left(\dfrac{1}{60}\right)^{\circ}$，所以$36.6'=36.6×\left(\dfrac{1}{60}\right)^{\circ}=0.61^{\circ}$。
因此$36^{\circ}36'36''=36^{\circ}+0.61^{\circ}=36.61^{\circ}$。
36.61
又因为$1'=\left(\dfrac{1}{60}\right)^{\circ}$，所以$36.6'=36.6×\left(\dfrac{1}{60}\right)^{\circ}=0.61^{\circ}$。
因此$36^{\circ}36'36''=36^{\circ}+0.61^{\circ}=36.61^{\circ}$。
36.61
6. $56.28^{\circ}=$____$^{\circ}$____$^{\prime}$____$^{\prime\prime}$
答案
56 16 48
7. $26^{\circ}48^{\prime}=$____$^{\circ}$
答案
26.8
解析
因为$1^{\circ}=60^{\prime}$，所以$48^{\prime}=\left(\frac{48}{60}\right)^{\circ}=0.8^{\circ}$，则$26^{\circ}48^{\prime}=26^{\circ}+0.8^{\circ}=26.8^{\circ}$。
26.8
26.8
8. $45.6^{\circ}=$____$^{\circ}$____$^{\prime}$
答案
45 36
9. $75^{\circ}18^{\prime}36^{\prime\prime}=$____$^{\circ}$
答案
75.31
解析
36'' = (36÷60)' = 0.6'，18' + 0.6' = 18.6'，18.6' = (18.6÷60)° = 0.31°，75° + 0.31° = 75.31°，75.31
10. $5.5^{\circ}=$____$^{\prime\prime}$
答案
19800
解析
因为$1^{\circ}=60'$，$1'=60''$，所以$1^{\circ}=60×60=3600''$。
$5.5^{\circ}=5.5×3600''=19800''$
19800
$5.5^{\circ}=5.5×3600''=19800''$
19800
11. $77^{\circ}53^{\prime}26^{\prime\prime}+33.3^{\circ}$
答案
111°11′26″
解析
$33.3^{\circ}=33^{\circ}18'$
$77^{\circ}53'26''+33^{\circ}18'=110^{\circ}71'26''=111^{\circ}11'26''$
$77^{\circ}53'26''+33^{\circ}18'=110^{\circ}71'26''=111^{\circ}11'26''$
12. $89^{\circ}15^{\prime}-35^{\circ}21^{\prime}$
答案
53°54′
解析
${89}^{\circ}{15}^{\prime}-{35}^{\circ}{21}^{\prime}$
$={88}^{\circ}{75}^{\prime}-{35}^{\circ}{21}^{\prime}$
$={53}^{\circ}{54}^{\prime}$
$={88}^{\circ}{75}^{\prime}-{35}^{\circ}{21}^{\prime}$
$={53}^{\circ}{54}^{\prime}$
13. $23.5^{\circ}+12^{\circ}30^{\prime}$
答案
36°
解析
$23.5^{\circ} = 23^{\circ}30'$，$23^{\circ}30' + 12^{\circ}30' = 36^{\circ}$
36°
36°
14. $12^{\circ}20^{\prime}54^{\prime\prime}×4$
答案
49°23′36″
解析
$12^{\circ}20^{\prime}54^{\prime\prime}×4$
$=12^{\circ}×4 + 20^{\prime}×4 + 54^{\prime\prime}×4$
$=48^{\circ} + 80^{\prime} + 216^{\prime\prime}$
$=48^{\circ} + 1^{\circ}20^{\prime} + 3^{\prime}36^{\prime\prime}$
$=49^{\circ}23^{\prime}36^{\prime\prime}$
$=12^{\circ}×4 + 20^{\prime}×4 + 54^{\prime\prime}×4$
$=48^{\circ} + 80^{\prime} + 216^{\prime\prime}$
$=48^{\circ} + 1^{\circ}20^{\prime} + 3^{\prime}36^{\prime\prime}$
$=49^{\circ}23^{\prime}36^{\prime\prime}$
15. $40^{\circ}6^{\prime}÷3$
答案
13°22′
解析
40°6′÷3
=39°66′÷3
=13°22′
=39°66′÷3
=13°22′
16. $123^{\circ}24^{\prime}-60.6^{\circ}$
答案
62°48′
解析
$123^{\circ}24^{\prime}-60.6^{\circ}$
$=123^{\circ}24^{\prime}-60^{\circ}36^{\prime}$
$=122^{\circ}84^{\prime}-60^{\circ}36^{\prime}$
$=62^{\circ}48^{\prime}$
$=123^{\circ}24^{\prime}-60^{\circ}36^{\prime}$
$=122^{\circ}84^{\prime}-60^{\circ}36^{\prime}$
$=62^{\circ}48^{\prime}$
17. $40^{\circ}26^{\prime}+30^{\circ}30^{\prime}÷6$
答案
45°31′
解析
$30^{\circ}30^{\prime}÷6 = 5^{\circ}5^{\prime}$，$40^{\circ}26^{\prime}+5^{\circ}5^{\prime}=45^{\circ}31^{\prime}$
18. $22^{\circ}38^{\prime}20^{\prime\prime}×5-28^{\circ}52^{\prime}46^{\prime\prime}$
答案
84°18′54″
解析
$22^{\circ}38^{\prime}20^{\prime\prime}×5 = 110^{\circ}190^{\prime}100^{\prime\prime}$
$110^{\circ}190^{\prime}100^{\prime\prime} = 113^{\circ}11^{\prime}40^{\prime\prime}$
$113^{\circ}11^{\prime}40^{\prime\prime}-28^{\circ}52^{\prime}46^{\prime\prime} = 84^{\circ}18^{\prime}54^{\prime\prime}$
$110^{\circ}190^{\prime}100^{\prime\prime} = 113^{\circ}11^{\prime}40^{\prime\prime}$
$113^{\circ}11^{\prime}40^{\prime\prime}-28^{\circ}52^{\prime}46^{\prime\prime} = 84^{\circ}18^{\prime}54^{\prime\prime}$
19. 一个平角被分成8等份,求每一份的角的度数(结果用度、分、秒表示).
答案
180°÷8=22°30′
