6th Class Mathematics Decimals

  • 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


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