Inter Conversion between Standard and Normal Forms

Q.

In standard form, the number $829030000$ is written as $K\times {10}^8$ , where $K$ is equal to

1. $82903$

2. $829.03$

3. $82.903$

4. $8.2903$

Q. Which of the following is the standard form of $0.00056$?

1. $5.6\times {10}^{-6}$
2. $5.6\times {10}^5$
3. $5.6\times {10}^{-4}$
4. $56\times {10}^7$

Q.

Write each of the following numbers in expanded form:

(i) 15, 768
(ii) 3, 08, 927
(iii) 24, 05, 609
(iv) 5, 36, 18, 493
(v) 6, 06, 06, 006

Q.

The standard form of $12340000$ is ______

Q. Find the value of 7 × 11 ×13 × 234 by observing the given pattern:
7 × 11 × 13 × 101 = 1, 01, 101
7 × 11 × 13 × 102 = 1, 02, 102
7 × 11 × 13 × 103 = 1, 03, 103
7 × 11 × 13 × 104 = 1, 04, 104
.
.
7 × 11 × 13 × 234 = ________

Q. Find 211.02 $\times$ 4

Q. Find the result of the following.
a) 156.1 $\times$ 100
b) 0.12 $\times$ 10
c) 120.5 $\times$ 1000

Q. (10×3)×5=

1. 10×(3×5)
2. 10×(3+5)
3. 10+3+5
4. 10+(3×5)

Q.

Express the number appearing in the following statements in standard form :

(v) $60,230,000,000,000,000,000,000$ molecules are contained in a drop of water weighing $1.8g$.

Q. Raghu bought 10 m 25 cm of cloth. He used 4 m 75 cm from it. How much cloth is left?

1. 6m 70 cm
2. 5m 50 cm
3. 2m 67 cm
4. 1m 75 cm

Q. Raghu bought 10 m 25 cm of cloth. He used 4 m 75 cm from it. Then the cloth left is

1. 2m 67 cm
2. 5m 50 cm
3. 6m 70 cm

Q. Find 211.02 $\times$ 4