Simplify and write the answer in the standard form. 3 × 10 4 + 4 × 10 3

We need to simplify 3 × 10 4 + 4 × 10 3 . This can be written as 3 × 10 4 + 4 × 10 3 = 3 × 10000 + 4 × 1000 = 30000 + 4000 = 34000 Now, we need to convert 34000 in standard exponential form. We know that, A number is in standard form when it is written as a × 10 n , where a is a decimal number greater than or equal to 1 and less than 10 and n is a positive integer. Thus, 34000 = 3 . 4000 × 10000 = 3 . 4000 × 10 4 Hence, the required standard form is 3 . 4000 × 10 4 .

Simplify and write the answer in the standard form. 6 × 10 4 - 3 × 10 2

We need to simplify 6 × 10 4 - 3 × 10 2 . This can be written as 6 × 10 4 - 3 × 10 2 = 6 × 10000 - 3 × 100 = 60000 - 300 = 59700 Now, we need to convert 59700 in standard exponential form. We know that, A number is in standard form when it is written as a × 10 n , where a is a decimal number greater than or equal to 1 and less than 10 and n is a positive integer. Thus, 59700 = 5 . 9700 × 10000 = 5 . 9700 × 10 4 Hence, the required standard form is 5 . 9700 × 10 4 .

Simplify and write the answer in the standard form. 6 × 10 5 ÷ 3 × 10 5

We need to simplify 6 × 10 5 ÷ 3 × 10 5 . This can be written as 6 × 10 5 ÷ 3 × 10 5 = 6 × 100000 ÷ 3 × 100000 = 600000 ÷ 300000 = 2 Now, we need to convert 2 in standard exponential form. We know that, A number is in standard form when it is written as a × 10 n , where a is a decimal number greater than or equal to 1 and less than 10 and n is a positive integer. Thus, 2 = 2 × 10 0 Hence, the required standard form is 2 × 10 0 .

Simplify and write the answer in the standard form. 8 × 10 2 + 9 × 10 3

We need to simplify 8 × 10 2 + 9 × 10 3 . This can be written as 8 × 10 2 + 9 × 10 3 = 8 × 100 + 9 × 1000 = 800 + 9000 = 9800 Now, we need to convert 9800 in standard exponential form. We know that, A number is in standard form when it is written as a × 10 n , where a is a decimal number greater than or equal to 1 and less than 10 and n is a positive integer. Thus, 9800 = 9 . 800 × 1000 = 9 . 800 × 10 3 Hence, the required standard form is 9 . 800 × 10 3 .

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Next Maths 7 Book B>Chapter 6 - Exponents and Powers>Let Us Try 14.5

Subject Experts Solutions for Chapter: Exponents and Powers, Exercise 19: Let Us Try 14.5

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Subject Experts Mathematics Solutions for Exercise - Subject Experts Solutions for Chapter: Exponents and Powers, Exercise 19: Let Us Try 14.5

Attempt the free practice questions on Chapter 6: Exponents and Powers, Exercise 19: Let Us Try 14.5 with hints and solutions to strengthen your understanding. Next Maths 7 Book B solutions are prepared by Experienced Embibe Experts.