S.chand class 6 Mathematics Chapter 6 Exercise 6A

 Exercise 6A

Question 1

1. Write the following decimals in numerals.

(i) Six point two

(ii) Eighteen point one five four

(iii) Point eight zero three

(iv) Three hundred ten point zero five zero six

(v) Nine thousand one point zero zero zero four


Question 2

Draw a decimal place value diagram and write the following numbers in it.

(i) $18.6$

(ii) $7.89$

(iii) $0.829$

(iv) $0.029$

(v) $440.06$

(vi) 52,179

(vii) $46.0001$

(viii) $819.0305$


3. Write the place value of each digit of the following decimal numbers.

(i) $4753.8605$

(ii) $75.3$

(iii) $745.96$

(iv) $9218.076$

(v) $57.0905$


4. Write a decimal numeral for each.

(i) $\frac{8}{10}$

(ii) $\frac{7}{100}$

(iii) $\frac{5}{1000}$

(iv) $\frac{19}{10000}$

(v) $28 \frac{9}{10}$

(vi) $504 \frac{60}{100}$

(vii) $11 \frac{65}{1000}$


5. Write the following in expanded form.

(i) $1.8$

(ii) $32.56$

(iii) $516.378$

(iv) $3208.007$

(v) $60.0752$


6. Write the following in short form.

(i) $3 \times 1000+0 \times 100+5 \times 10+4 \times 1+1 \times \frac{1}{10}+6 \times \frac{1}{100}$

(ii) $400+70+2+\frac{1}{10}+\frac{8}{100}$

(iii) $5+\frac{9}{10}+0+\frac{3}{1000}+\frac{6}{10000}$

(iv) $60+0+0+\frac{6}{1000}$.


7. Compare the following decimal numbers and put >,< or = in the blanks.

(i) 6.19___6.98

(ii) 32.203___32.203

(iii) 8.94___9.037

(iv) 29.705__29.703

(v) 4.9387___5.3

(vi) 605.0093___605.0039


8. Arrange the following decimal numbers in order of size, starting with the largest.

(i) $4.893,7.983,7.909,7.913$

(ii) $0.895,0.806,0.860,0.868,0.856$

(iii) $0.0710,0.0171,0.1007,0.0071,0.0107$


9. Put these numbers in order of size with the smallest first.

(i) $3.07,3.47,4.16,3.93,4.61$

(ii) $200.8,207.8,207.08,206.80,206.08$

(iii) $3.3,3.03,0.33,0.03,0.303,3.003$


10. Write as fractions.

(i) $0.53$

(ii) $0.081$

(iii) $0.903$

(iv) $0.0087$

(v) $0.00069$

(vi) $0.7001$.


11. Write as fractions in their lowest terms.

(i) $0.5$

(ii) $0.08$

(iii) $0.005$

(iv) $0.025$

(v) $0.0405$

(vi) $0.825$

(vii) $42.075$


12. Convert the following fractions to decimals by changing the denominator to 10 or multiples of 10 .

(i) $\frac{11}{5}$

(ii) $\frac{3}{4}$

(iii) $\frac{19}{25}$

(iv) $\frac{13}{20}$

(v) $\frac{43}{125}$

(vi) $\frac{173}{250}$


13.Convert the following fractions into decimals

(i) $\frac{7}{2}$

(ii) $\frac{4}{5}$

(iii) $\frac{3}{8}$

(iv) $\frac{21}{40}$

(v) $\frac{11}{25}$

(vi) $8 \frac{17}{32}$

(vii) $12 \frac{19}{40}$.


Multiple Choice Question (MCQ) 

Tick (✔) the correct option.


14. Which of the following numbers is forty-five and one hundred twelve thousandths written in expanded form.

(a) $40+5+0.01+0.002$

(b) $40+5+0.1+0.001+0.0002$

(c) $40+5+0.1+0.01+0.002$

(d) $40+5+0.1+0.002$


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