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
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