Expanded Form of a Number

Q. Question 1(iv)
Write the following numbers in the expanded form:
(iv) 1, 20, 719

Q.

Express 0.000000000947 in standard form.

1. $947\times {10}^{-12}$
2. $947\times {10}^{-10}$

3. $9.47\times {10}^{-12}$

4. $9.47\times {10}^{-10}$

Q. Question 1(i)
Write the following numbers in the expanded form:
(i) 2, 79, 404

Q.

${\left(\frac{2}{3}\right)}^3\times {\left(\frac{5}{7}\right)}^3$is equal to

1. ${\left(\left(\frac{2}{3}\right)\times \left(\frac{5}{7}\right)\right)}^9$

2. ${\left(\left(\frac{2}{3}\right)\times \left(\frac{5}{7}\right)\right)}^6$

3. ${\left(\left(\frac{2}{3}\right)\times \left(\frac{5}{7}\right)\right)}^3$

4. ${\left(\left(\frac{2}{3}\right)\times \left(\frac{5}{7}\right)\right)}^0$

Q. Fill in the blank: 234 = 2x100+3x_____+4x1

1. 1000
2. 10
3. 100
4. 1

Q.

Write the following numbers in the expanded forms: $2806196$.

Q. $(1\times {10}^3)+(2\times {10}^2)+(3\times {10}^1)+(4\times {10}^0)+(2\times {10}^{-1})+(3\times {10}^{-2})$ =

1. $1234.23$
   
2. $1230.23$
3. $1234.32$

Q. $(4\times {10}^3)+(2\times {10}^2)+(0\times {10}^1)+(2\times {10}^0)+(1\times {10}^{-1})+(2\times {10}^{-2})$ is the expanded form of the number ___.

1. $4220.12$
2. $4202.02$
3. $4202.21$
4. $4202.12$

Q. For visualising the power $2^7$ using dots, we need dots in all.

1. $256$
2. $64$
3. $512$
4. $128$

Q. If $x=\frac{(-1{)}^3\times 5^9\times 5^{-4}}{(-1{)}^2\times 5^{-7}\times 5^{12}}$, then $x^3$ = .

1. 1
2. 0
3. -1

Q.

Write the following numbers in the expanded forms: $20068$.

Q. $(2\times {10}^2)+(2\times {10}^{-2})$ is the expanded form of the number ___.

1. 0.22
2. 20.02
3. 200.2
4. 200.02

Q. Which of the following options are the same as $53.48$?

1. $5348\times {10}^{-2}$
2. $5.348\times {10}^1$
3. $(5\times {10}^1)+(3\times {10}^0)+(4\times {10}^{-2})+(8\times {10}^{-1})$
4. $(5\times {10}^1)+(3\times {10}^0)+(4\times {10}^{-1})+(8\times {10}^{-2})$

Q. Expanded form of $243.7=(2\times {10}^2)+(4\times {10}^1)+$ + $(7\times {10}^{-1}$)

1. $(4\times {10}^1)$
2. $(3\times {10}^1)$
3. $(3\times {10}^0)$
4. $(3\times {10}^2)$

Q. If $x=\frac{(-1{)}^3\times 5^9\times 5^{-4}}{(-1{)}^2\times 5^{-7}\times 5^{12}}$, then $x^3$ = .

1. -1
2. 1
3. 0

Q.

Express $(3\times {10}^2)+(2\times {10}^1)+(9\times {10}^0)+(2\times {10}^{-1})+(5\times {10}^{-2})$ as a numeral.

1. 32.925

2. 3.2925

3. 3292.5

4. 329.25

Q. ${(-2)}^4\times {\left(3\right)}^4$ = .

1. $-{24}^4$
2. ${(-6)}^4$
3. - ${12}^4$
4. - 1296

Q. Which of the four images represents $2^3$?

1. (B)
2. (C)
3. (D)
4. (A)

Q. ${(-2)}^4\times {\left(3\right)}^4$ = .

1. - ${12}^4$
2. ${(-6)}^4$
3. - 1296
4. $-{24}^4$

Q. ${(-2)}^4\times {\left(3\right)}^4$ = .

1. - ${12}^4$
2. - 1296
3. $-{24}^4$
4. ${(-6)}^4$

Q.

$(9\times {10}^3)+(9\times {10}^{-2})$ in usual form is given by ___.

1. 9000.09
2. 900.9
3. 9000.9
4. 900.09

Q. $(1\times {10}^3)+(2\times {10}^2)+(3\times {10}^0)+(1\times {10}^{-1})+(2\times {10}^{-2})$=

1. $123.12$
2. $1230.12$
3. $1230.21$
4. $1230.21$

Q. ${(-2)}^4\times {\left(3\right)}^4$ = .

1. - 1296
2. $-{24}^4$
3. - ${12}^4$
4. ${(-6)}^4$