Inter Conversion between Standard and Normal Forms

Q.

${\left(\frac{64}{25}\right)}^{\frac{-3}{2}}$ Evaluate

Q.

If z=0.064 , then find the value of (1/z)to the power 1/3.

Q.

Express $6,020,000,000,000,000$ in standard form.

Q. If 4^{44} + 4^{44} + 4^{44} + 4^{44} = 4^x, then how to find the value of x?

Q.

Express the following numbers in usual form:
$3.61492\times {10}^6$

Q.

Question 142

The paper clip below has the indicated length. What is the length in standard form.

Q.

How do you write 0.00079 in scientific notation?

1. 7.9 x 10^-9

2. 7.9 x 10^-7

3. 7.9 x 10^-4

4. 7.9

Q.

Among the numbers 2^250, 3^200, 4^150, 5¹⁰⁰ the greatest is which number

Q. Question 3(v)
Express the number appearing in the following statements in standard form:
Thickness of a thick paper is 0.07 mm.

Q.

Question 57

In the following question, fill in the blanks to make the statements true.

The usual form fo $2.3\times {10}^{10}$ is ___ .

Q.

Given, log a=b, express 10^2b-3 in terms of a

Q.

Among the numbers $2^{250},3^{200},4^{150}$ and $5^{100}$, the greatest number is

Q. Which of the following is correct? Options: 2^{5555} < 3^{3333} < 6^{2222} b) 3^{3333} < 2^{5555} < 6^{2222} c) 6^{2222} < 3^{3333 }< 2^{5555} d) 2^{5555} < 6^{2222} < 3^{3333

Q. Express 12470000000000 in the standard form.

1. $124.7\times {10}^{10}$
2. $12.47\times {10}^{13}$
3. $1.247\times {10}^{13}$
4. $12.47\times {10}^{-13}$

Q. Write the following rational numbers in decimal form.

$\left(\mathrm{i}\right)\frac{127}{200}\left(\mathrm{ii}\right)\frac{25}{99}\left(\mathrm{iii}\right)\frac{23}{7}\left(\mathrm{iv}\right)\frac{4}{5}\left(\mathrm{v}\right)\frac{17}{8}$

Q.

Question 115(vi)

Express the following in standard form:
Express 5 tonnes in g.

Q. Sir/ma'am
que. If 121 raised to the power 1by3 = cube root 121. This is a theorem. State the name of the theorem?

Q.

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

1. 0.00009

2. 90 × 10^-4

3. 0.000009

4. 0.009 × 10^-4

Q. Show that 1234^{1111}+4321^{1111} is a multiple of 5.

Q.

Q. If n⁰=1 then, what is the value of 0^{0​ ??}

Q.

Write the given in short form.

$2\times \frac{1}{10}+1\times \frac{1}{100}+3\times \frac{1}{1000}+9\times \frac{1}{10000}$

Q.

Question 26

In the following question, out of the four options, only one is correct. Write the correct answer.

The usual form for$2.03\times {10}^{-5}$ is

(a) 0.203

(b) 0.00203

(c) 203000

(d) 0.0000203

Q.

Question 49

In the following question, fill in the blanks to make the statements true.

The usual form of $2.39461\times {10}^6$ is ___

Q. simplify 9^ 1/3 x 27^1/2 divided by 3^1/6 x 3^-2/3

Q. Q: the number of consecutive zeros in 2^3 × 3^4 × 5^4 × 7 is?? Q: the decimal representation of a number which is of the form: 1/2^1001 + 1/5^999. Q: If 4^44 + 4^44 + 4^44 + 4^44 = 4^x, then x is??

Q. if m and n are two natural numbers and m^n=32 then n^mn=?

Q.

Question 87

In the following question, state whether the given statements are true (T) or false (F).

The usual form for$2\times {10}^{-2}$ is not equal to 0.02.

Q. If X = { 1, 3, 5, 7}, then n(X) = _________.

1. 4
2. 1
3. 3
4. 2