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Chapter 7: Decimals – Exercise 7.3 Question: 1 i) Five hundred twenty five and forty hundredths ii) Twelve and thirty five thousandths iii) Fifteen and seventeen thousandths iv) Eighty eight and forty eight hundredths Solution: i) 525 + 40100 = 525.40 ii) 12 + 351000 = 12.035 iii) 15 + 171000 = 15.017 iv) 88 + 48100 = 88.48 Question: 2 Solution: i) We have 1 hundred, 3 tens, 7 ones and 5 hundredths. Therefore, the decimal is 137.05 ii) We have 2 tens, 9 ones and 4 hundredths. Therefore, the decimal is 29.04 Question: 3 i) 8/100 ii) 300/1000 iii) 18/1000 iv) 208/100 Solution: i) We have 8 hundredths. Therefore, the decimal is 0.08 ii) In its lowest form, the fraction is 310. We have 3 tenths. Therefore, the decimal is 0.3 iii) We have eighteen thousandths. Therefore the decimal is 0.018 iv) 208100 = 200100 + 8100 = 2 + 8100 We have 2 and 8 hundredths. Therefore, the decimal is 2.08 888/1000 8881000 = 8001000 + 801000 + 81000 = 810 + 8100 + 81000 We have 8 tenths, 8 hundredths and 8 thousandths.Therefore, the decimal is 0.888 Question: 4 ii) 718 = 7 + 18 iii) 5120 = 5 + 120 Solution: i) 1214 = 12 + 14 = 12 + 254(25) = 12 + 25100 = 12.25 ii) 7 + 1(1258)(125) = 7 + 1251000 = 7.125 iii) 5 + 1(520)(5) = 5 + 510 = 5.05 Question: 5 i) 0.04 iv) 1.20 v) 17.38 Solution: i) = 0 + 0.04 = 0 + 4 hundredths = 0 + 4100 = 125 ii) 2.34 = 2 + 0.34 = 2 + 34 hundredths = 2 + 34100 = 2(100100) + 34100 = 200100 + 34100 = 234100 = 11750 iii) 0.342 = 0 + 342 thousandths = 3421000 = 171500 iv) = 1 + 0.20 = 1 + 20 hundredths = 1 + 20100 = 100100 + 20100 = 120100 = 65 v) = 17 + 0.38 = 17 + 38 hundredths = 17 + 38100 = 17(100100) + 38100 = 1700100 + 38100 = 1738100 = 86950 Question: 6 i) 2 tens, 9 ones, 4 tenths and 1 hundredths. ii) 3 tens, we have3 tens, 4 tenths, 8 hundredths and 3 thousandths. iii) 1 hundred, 3 tens, 7 ones and 5 hundredths. iv) 7 tenths, 6 hundredths and 4 thousandths. v) 2 tens, 3 ones, 2 tenths and 6 thousandths. vi) 7 hundreds, 2 tens, 5 ones and 9 hundredths. Solution: i) Here, we have 2 tens, 9 ones, 4 tenths and 1 hundredths. Therefore, the decimal is 29.41 ii) Here, we have 3 tens, we have3 tens, 4 tenths, 8 hundredths and 3 thousandths. Therefore, the decimal is 30.483 iii) Here, we have 1 hundred, 3 tens, 7 ones and 5 hundredths. Therefore, the decimal is 137.05 iv) Here, we have 7 tenths, 6 hundredths and 4 thousandths . Therefore, the decimal is 0.764 v) Here, we have 2 tens, 3 ones, 2 tenths and 6 thousandths. Therefore, the decimal is 23.206 vi) Here, we have 7 hundreds, 2 tens, 5 ones and 9 hundredths. Therefore, the decimal is 725.09
i) Five hundred twenty five and forty hundredths
ii) Twelve and thirty five thousandths
iii) Fifteen and seventeen thousandths
iv) Eighty eight and forty eight hundredths
i) 525 + 40100 = 525.40 ii) 12 + 351000 = 12.035 iii) 15 + 171000 = 15.017 iv) 88 + 48100 = 88.48
i) We have 1 hundred, 3 tens, 7 ones and 5 hundredths. Therefore, the decimal is 137.05 ii) We have 2 tens, 9 ones and 4 hundredths. Therefore, the decimal is 29.04
i) 8/100
ii) 300/1000
iii) 18/1000
iv) 208/100
i) We have 8 hundredths. Therefore, the decimal is 0.08 ii) In its lowest form, the fraction is 310. We have 3 tenths. Therefore, the decimal is 0.3 iii) We have eighteen thousandths. Therefore the decimal is 0.018 iv) 208100 = 200100 + 8100 = 2 + 8100
We have 2 and 8 hundredths. Therefore, the decimal is 2.08
888/1000
8881000 = 8001000 + 801000 + 81000 = 810 + 8100 + 81000
We have 8 tenths, 8 hundredths and 8 thousandths.Therefore, the decimal is 0.888
ii) 718 = 7 + 18
iii) 5120 = 5 + 120
i) 1214 = 12 + 14
= 12 + 254(25) = 12 + 25100 = 12.25
ii) 7 + 1(1258)(125) = 7 + 1251000 = 7.125
iii) 5 + 1(520)(5) = 5 + 510 = 5.05
i) 0.04
iv) 1.20
v) 17.38
i)
= 0 + 0.04
= 0 + 4 hundredths
= 0 + 4100
= 125
ii)
2.34
= 2 + 0.34
= 2 + 34 hundredths
= 2 + 34100
= 2(100100) + 34100
= 200100 + 34100
= 234100
= 11750
iii)
0.342
= 0 + 342 thousandths
= 3421000
= 171500
iv)
= 1 + 0.20
= 1 + 20 hundredths
= 1 + 20100
= 100100 + 20100
= 120100
= 65
v)
= 17 + 0.38
= 17 + 38 hundredths
= 17 + 38100
= 17(100100) + 38100
= 1700100 + 38100
= 1738100
= 86950
i) 2 tens, 9 ones, 4 tenths and 1 hundredths.
ii) 3 tens, we have3 tens, 4 tenths, 8 hundredths and 3 thousandths.
iii) 1 hundred, 3 tens, 7 ones and 5 hundredths.
iv) 7 tenths, 6 hundredths and 4 thousandths.
v) 2 tens, 3 ones, 2 tenths and 6 thousandths.
vi) 7 hundreds, 2 tens, 5 ones and 9 hundredths.
i) Here, we have 2 tens, 9 ones, 4 tenths and 1 hundredths. Therefore, the decimal is 29.41
ii) Here, we have 3 tens, we have3 tens, 4 tenths, 8 hundredths and 3 thousandths. Therefore, the decimal is 30.483
iii) Here, we have 1 hundred, 3 tens, 7 ones and 5 hundredths. Therefore, the decimal is 137.05
iv) Here, we have 7 tenths, 6 hundredths and 4 thousandths . Therefore, the decimal is 0.764
v) Here, we have 2 tens, 3 ones, 2 tenths and 6 thousandths. Therefore, the decimal is 23.206
vi) Here, we have 7 hundreds, 2 tens, 5 ones and 9 hundredths. Therefore, the decimal is 725.09
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