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McGraw-Hill Math Grade 7 Answer Key Lesson 19.3 Metric Units of Mass
Exercises
CALCULATE
Question 1.
200 g = ____________ kg
Answer:
200 g is equal to 0.2 kg.
Explanation:
Conversion:
1 kg = 1,000 g.
?? kg = 200 g
=> 1 × 200 = 1,000 × ??
=> 200 ÷ 1,000 = ??
=> 0.2 kg.
Question 2.
125 kg = ____________ mg
Answer:
125 kg is equal to 12,50,00,000 mg.
Explanation:
Conversion:
1 kg = 10,00,000 mg.
125 kg = ?? mg.
=> 1 × ?? = 10,00,000 × 125
=> ?? = 12,50,00,000 mg.
Question 3.
660 g = ____________ kg
Answer:
600 g is equal to 0.6 kg.
Explanation:
Conversion:
1 kg = 1,000 g.
?? kg = 600 g.
=> 1 × 600 = 1,000 × ??
=> 600 ÷ 1,000 = ??
=> 0.6 kg = ??
Question 4.
4500 mg = ____________ g
Answer:
450 mg is equal to 0.45 g.
Explanation:
Conversion:
1 g = 1,000 mg.
?? g = 450 mg.
=> 1 × 450 = 1,000 × ??
=> 450 ÷ 1,000 = ??
=> 0.45 g = ??
Question 5.
11.3 kg = ____________ mg
Answer:
11.3 kg is equal to 1,13,00,000 mg.
Explanation:
Conversion:
1 kg = 10,00,000 mg.
11.3 kg = ?? mg
=> 1 × ?? = 10,00,000 × 11.3
=> ?? = 1,13,00,000 mg.
Question 6.
300 mg = ____________ g
Answer:
300 mg is equal to 0.3g.
Explanation:
Conversion:
1 g = 1,000 mg.
?? g = 300 mg
=> 1 × 300 = 1,000 × ??
=> 300 ÷ 1,000 = ??
=> 0.3 g = ??
Question 7.
500 g + 600 mg = ____________ g
Answer:
Sum of 500 g and 600 mg is equal to 500.6 g.
Explanation:
Conversion:
1 g = 1,000 mg.
?? g = 600 mg.
=> 1 × 600 = 1,000 × ??
=> 600 ÷ 1,000 = ??
=> 0.6 g = ??
500 g + 0.6 g = 500.6 g.
Question 8.
7 kg + 190 g = ____________ cg
Answer:
Sum of 7kg and 190 g, we get 7,19,000 cg.
Explanation:
Conversion:
1 g = 100 cg.
190 g = ?? cg
=> 1 × ?? = 100 × 190
=> ?? = 19000 cg.
1 kg = 1,00,000 cg.
7 kg = ?? cg
=> 1 × ?? = 1,00,000 × 7
=> ?? = 7,00,000 cg.
19,000 cg + 7,00,000 cg = 7,19,000 cg.
Question 9.
438 g + 1.62kg = ____________ g
Answer:
Sum of 438 g and 1.62kg, we get 2,058 g.
Explanation:
Conversion:
1 kg = 1,000 g.
1.62 kg = ?? g
=> 1 × ?? = 1,000 × 1.62
=> ?? = 1,620 g.
438 g + 1,620 g = 2,058 g.
Question 10.
267 kg – 33g = ____________ kg
Answer:
Difference between 267 kg and 33g, we get 266.967 kg.
Explanation:
Conversion:
1 kg = 1,000 g.
?? kg = 33 g
=> 1 × 33 = 1,000 × ??
=> 33 ÷ 1,000 = ??
=> 0.033 kg = ??
Difference between 267 kg and 33g:
267 kg – 0.033 kg = 266.967 kg.
Question 11.
354 g – 346 mg = ____________ g
Answer:
Difference between 354 g and 346 mg, we get 353.654 g.
Explanation:
Conversion:
1 g = 1,000 mg.
?? g = 346 mg
=> 1 × 346 = 1,000 × ??
=> 346 ÷ 1,000 = ??
=> 0.346 g = ??
Difference between 354 g and 346 mg:
354 g – 0.346 g = 353.654 g.
Question 12.
4300 g + 3300 mg = ____________ kg
Answer:
Sum of 4300 g and 3300 mg, we get 4.3033 kg.
Explanation:
Conversion:
1 kg = 1,000 g.
?? kg = 4,300 g.
=> 1 × 4,300 = 1,000 × ??
=> 4,300 ÷ 1,000 = ??
=> 4.3 kg = ??
1 kg = 10,00,000 mg.
?? kg = 3300 mg
=> 1 × 3300 = 10,00,000 × ??
=> 3300 ÷ 10,00,000 = ??
=> 0.0033 kg = ??
4.3 kg + 0.0033 kg = 4.3033 kg.
Question 13.
5300 g – 2430 mg = ____________ g
Answer:
Difference between 5300 g and 2430 mg, we get 5297.57 g.
Explanation:
Conversion:
1 g = 1,000 mg.
?? g = 2,430 mg
=> 1 × 2,430 = 1,000 × ??
=> 2,430 ÷ 1,000 = ??
=> 2.430 g = ??
Difference between 5300 g and 2430 mg:
5300 g – 2.430 g = 5297.57 g.
Question 14.
12.34 kg + 1.66 kg = ____________ g
Answer:
Sum of 12.34 kg and 1.66 kg, we get 14,000 g.
Explanation:
Conversion:
1 kg = 1,000 g.
12.34 kg = ?? g
=> 1 × ?? = 1000 × 12.34
=> ?? = 12,340 g.
1 kg = 1,000 g.
1.66 kg = ?? g
=> 1 × ?? = 1000 × 1.66
=> ?? = 1,660 g.
12,340 g + 1,660 g = 14,000 g.
Question 15.
2 mg + 4 g + 5 kg = ____________ kg
Answer:
Sum of 2 mg, 4 g and 5 kg, we get 5.004002 kg.
Explanation:
Conversion:
1 kg = 10,00,000 mg.
?? kg = 2 mg
=> 1 × 2 = 10,00,000 × ??
=> 2 ÷ 10,00,000 = ??
=> 0.000002 kg = ??
1 kg = 1,000 g.
?? kg = 4 g
=> 1 × 4 = 1,000 × ??
=> 4 ÷ 1,000 = ??
=> 0.004 kg = ??
0.000002 kg + 0.004 kg + 5 kg = 5.004002 kg.
Question 16.
300 kg + 300 g + 300 cg = ____________ mg
Answer:
Sum of 300 kg, 300 g and 300 cg , we get 30,03,03,000 mg.
Explanation:
Conversion:
1 kg = 10,00,000 mg.
300 kg = ?? mg
=> 1 × ?? = 10,00,000 × 300
=> ?? = 30,00,00,000 mg.
1 g = 1,000 mg.
300 g = ?? mg
=> 1 × ?? = 1,000 × 300
=> ?? = 3,00,000 mg.
1 cg = 10 mg.
300 cg = ?? mg
=> 1 × ?? = 10 × 300
=> ?? = 3,000 mg.
30,00,00,000 mg + 3,00,000 mg + 3,000 mg = 30,03,03,000 mg.
Question 17.
142 g + 258 mg = ____________ cg
Answer:
Sum of 142 g + 258 mg, we get 14,225.8 cg.
Explanation:
Conversion:
1 g = 100 cg.
142 g = ?? cg
=> 1 × ?? = 100 × 142
=> ?? = 14,200 cg.
1 cg = 10 mg.
?? cg = 258 mg
=> 1 × 258 = 10 × ??
=> 258 ÷ 10 = ??
=> 25.8 cg = ??
14,200 cg + 25.8 cg = 14,225.8 cg.
Question 18.
65 g + 6500 g = ____________ kg
Answer:
Sum of 65 g and 6500 g, we get 6.565 kg.
Explanation:
Conversion:
1 kg = 1,000 g.
?? kg = 65 g
=> 1 × 65 = 1,000 × ??
=> 65 ÷ 1,000 = ??
=> 0.065 kg = ??
1 kg = 1,000 g.
?? kg = 6,500 g
=> 1 × 6,500 = 1,000 × ??
=> 6500 ÷ 1000 = ??
=> 6.5 kg.
0.065 kg + 6.5 kg = 6.565 kg.