Planet A is at a distance of 9 . 35 × 10 6 km from earth and planet B is 6 . 27 × 10 7 km from earth. Which planet is nearer to earth?

The large numbers are written in standard form as N × 10 n , where N is the number between 1 and 10 and n is the power of 10 . To compare two numbers written in standard form, first compare the exponents of 10 . The number with the larger exponent is larger. If the exponents of 10 (the value of n ) are equal, then compare the coefficients (the value of N ) Given that the planet A is at a distance of 9 . 35 × 10 6 km from earth and the planet B is 6 . 27 × 10 7 km from earth. Here, both distances are in standard form. We observe that the distance 6 . 27 × 10 7 km has larger exponent than the distance 9 . 35 × 10 6 km . Therefore, the planet is nearer to the earth.

E M B I B E

START UP MATHEMATICS>Chapter 2 - Exponents (Powers)>EXEMPLAR PROBLEMS

Monicaa Abhijit Solutions for Chapter: Exponents (Powers), Exercise 9: EXEMPLAR PROBLEMS

Author:Monicaa Abhijit

Monicaa Abhijit Mathematics Solutions for Exercise - Monicaa Abhijit Solutions for Chapter: Exponents (Powers), Exercise 9: EXEMPLAR PROBLEMS

Attempt the practice questions on Chapter 2: Exponents (Powers), Exercise 9: EXEMPLAR PROBLEMS with hints and solutions to strengthen your understanding. START UP MATHEMATICS solutions are prepared by Experienced Embibe Experts.

Questions from Monicaa Abhijit Solutions for Chapter: Exponents (Powers), Exercise 9: EXEMPLAR PROBLEMS with Hints & Solutions

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Exponents (Powers)>EXEMPLAR PROBLEMS>Q 1

If the standard form of $(\frac{1}{100000000})$ is $1.0 \times 10^{n}$ , then $n =$ _____.

EASY

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Exponents (Powers)>EXEMPLAR PROBLEMS>Q 2

If the expression for $3^{5}$ with a negative exponent is $\frac{1}{3^{k}}$ , then $k =$ _____.

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Exponents (Powers)>EXEMPLAR PROBLEMS>Q 3

The exponential form for $(- 2)^{4} \times {(\frac{5}{2})}^{4}$ is $5^{4}$ .

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Exponents (Powers)>EXEMPLAR PROBLEMS>Q 5

Planet $A$ is at a distance of $9.35 \times 10^{6} km$ from earth and planet $B$ is $6.27 \times 10^{7} km$ from earth. Which planet is nearer to earth?

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