The Progressive Teacher Vol 04 Issue 03
This issue of The Progressive Teacher focuses on "New Trends in Education ". In this edition, articles explore contemporary trends to enhance interactive learning amongst students.
This issue of The Progressive Teacher focuses on "New Trends in Education ". In this edition, articles explore contemporary trends to enhance interactive learning amongst students.
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Class VII: mathematics<br />
Exponents and Powers<br />
Tick ( ) the correct answer<br />
1. Express –343 in power notation<br />
a. (–7) 3 c. –6 3<br />
b. 7 3 d. None<br />
2. What is the index and base in the expression 2 8 ?<br />
a. index = 4; base = 4 c. index = 8; base = 2<br />
b. index = 2; base = 8 d. None<br />
3. (1 0 +2 0 +3 0 +4 0 +5 0 +6 0 +7 0 +8 0 +9 0 +10 0 )<br />
a. 55 c. 0<br />
b. 10 d. 1<br />
5 –2<br />
4. ⎧⎛–2 ⎞ ⎛–2⎞<br />
⎫ ⎛–2⎞<br />
⎨ ⎜ ⎟ × ⎜ ⎟ ⎬ ÷<br />
⎝ ⎠ ⎝ ⎠<br />
⎜<br />
⎝<br />
⎟<br />
⎩ 5 5 ⎭ 5 ⎠<br />
is equal to<br />
a. –1 c. 1<br />
b. 0 d.<br />
5. Express 234.5678 in standard form<br />
a. 2.345 × 1<strong>04</strong> c. 2.345 × 10 – 2<br />
b. 2.345 × 102 d. 2.345 × 10 – 4<br />
6. A number to the 7 th power divided by the same<br />
number to the 3 rd power equals 256. What is the<br />
number?<br />
a. 4 c. 2<br />
b. 3 d. 5<br />
7. Find x if 5 6x = (625) 3<br />
a. 7 c. –2<br />
b. 2 d. 1<br />
7 7<br />
3 × 10 × 25<br />
8. Simplify<br />
8 6<br />
5 × 6<br />
a. 1 c. 30<br />
b. 0 d. 10<br />
9. Express the following with a single exponent<br />
3 5<br />
2 –4<br />
⎛⎛ 1⎞ ⎞ ⎛⎛ 1⎞<br />
⎞<br />
⎜⎜– ⎟ ⎟ ×<br />
⎝ ⎠ ⎜⎜–<br />
⎝<br />
⎟<br />
⎝ ⎠ ⎝ ⎠ ⎟<br />
3 3 ⎠<br />
a. (–3) 14<br />
b. ⎛ 1⎞<br />
⎜– ⎝<br />
⎟ 3 ⎠<br />
c. 3 14<br />
d.<br />
2<br />
3 5<br />
2 4<br />
⎛⎛ 1⎞ ⎞ ⎛⎛ 1⎞<br />
⎞<br />
⎜⎜– ⎟ ⎟ ×<br />
⎝ ⎠ ⎜⎜–<br />
⎝<br />
⎟<br />
⎝ ⎠ ⎝ ⎠ ⎟<br />
3 3 ⎠<br />
3<br />
⎛<br />
⎜<br />
⎝<br />
–2<br />
5<br />
⎞<br />
⎟<br />
⎠<br />
4<br />
10. Express 0.00009823 in standard form<br />
a. 9.823 × 10 5<br />
b. 98.23 × 10 –<br />
c. 98.23 × 10 4<br />
d. 9.823 × 10 –5<br />
Fill in the blanks.<br />
worksheet<br />
Max Marks: 20<br />
11. If base is any number with power zero<br />
then the value of exponent is ___________________<br />
______________________.<br />
12. An expression of the type x m is a/an _____________<br />
________________________________________ for<br />
x multiplied m times.<br />
13. <strong>The</strong> number which is multiplied by itself again and<br />
again is the __________________________________<br />
__________________.<br />
14. On dividing exponents with the same base, powers<br />
are _________________________________________<br />
___________.<br />
State whether the following sentences are True or False.<br />
15. On multiplying exponents with the same<br />
base, powers are subtracted.<br />
16. If we multiply exponents with same powers,<br />
then bases are multiplied but powers<br />
remain same.<br />
17. A negative rational number raised to<br />
even power is positive.<br />
Match the following numbers with their<br />
exponential notation<br />
18. 128 A. (3) 7<br />
19. 1296 B. (2) 7<br />
20. 2187 C. (–6) 4<br />
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