question_answer 25)

Find the sum in each of the following. (a) 0.007 + 8.5 + 30.08 (b) 15 + 0.632 + 13.8 (c) 27.076 + 0.55 + 0.004 (d) 25.65 + 9.005 + 3.7 (e) 0.75 + 10.425 + 2 (f) 280.69 + 25.2 + 38 TIPS Firstly, write the given decimals with like terms (i.e. tens, ones, tenths, hundredths, thousandths) one below the other and then, add same as whole numbers.

Answer:

(a) We have, 0.007 + 8.5 + 30.08

	Tens	Ones	Tenths	Hundredths	Thousandths
	0	0	0	0	7
	0	8	5	0	0
+	3	0	0	8	0
	3	8	5	8	7

\[\therefore \] 0.007 + 8.5 + 30.08 = 38.587 (b) We have, 15 + 0.632 + 13.8

	Tens	Ones	Tenths	Hundredths	Thousandths
	1	5	0	0	0
	0	8	6	3	2
+	1	3	8	0	0
	2	9	4	3	2

\[\text{=}\frac{\text{Shaded}\,\text{squares}}{\text{Total}\,\text{squares}}=\frac{15}{100}\]15 + 0.632 + 13.8 = 29.432 (c) We have, 27.076 + 0.55 + 0.004

	Tens	Ones	Tenths	Hundredths	Thousandths
	2	7	0	7	6
	0	0	5	5	0
+	0	0	0	0	4
	2	7	6	3	0

\[=\frac{15}{100}=0.15\]27.076 + 0.55 + 0.004 = 27.630 (d) We have, 25.65 + 9.005 + 3.7

	Tens	Ones	Tenths	Hundredths	Thousandths
	2	5	6	5	0
	0	9	0	0	5
+	0	3	7	0	0
	3	8	3	5	5

\[\therefore \] 25.65 + 9.005 + 3.7 = 38.355 (e) We have, 0.75 + 10.425 + 2

	Tens	Ones	Tenths	Hundredths	Thousandths
	0	0	7	5	0
	0	0	4	2	5
+	0	2	0	0	0
	1	3	1	7	5

\[\text{=}\frac{\text{Shaded}\,\text{squares}}{\text{Total}\,\text{squares}}\text{=}\frac{\text{50}}{\text{100}}\] 0.75 + 10.425 + 2 = 13.175 (f) We have, 280.69 + 25.2 + 38

	Tens	Ones	Tenths	Hundredths	Thousandths
	2	8	0	6	9
	0	2	5	2	0
+	0	3	8	0	0
	3	4	3	8	9

\[=\frac{50}{100}=0.50\] 280.69 + 25.2 + 38 = 343.89