![]() The powers of 10 chart shows that the different powers of 10 have different values. Here, we placed 5 zeros after the decimal point (followed by 1) as the power was a negative 6 and 6 - 1 = 5. When the power is negative, 10 -x = '0 point followed by (x -1) number of zeros followed by 1".įor example, 10 -6 = 0.000001.Here, there are 6 zeros placed after 1 because the power of 10 is 6. When the power is positive, 10 x = '1 followed by x number of zeros'.įor example, 10 6 = 1,000,000. ![]() By using these two examples, we can conclude two things that are very useful to calculate the powers of 10. If x is negative, then we apply the property of exponents, a -m = 1/a m and then we apply the same logic as explained earlier. If x is positive, we simplify 10 x by multiplying 10 by itself x times. The powers of 10 are of the form 10 x, where x is an integer. This means that we need to multiply 10 seven times, that is, 10 7 = 10 × 10 × 10 × 10 × 10 × 10 × 10 For example, 10 to the 7th power means 10 7. Now, let us try to understand it the other way round. Here, 10 is the base and 9 is the power and this is read as 10 to the ninth power. Therefore, exponents help to express this easily and this value (10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 1000000000) can be expressed as 10 9. Now, if we need to multiply 10 thirty times, it would be even more difficult to write the product with so many zeros. If we multiply 10 a couple of times it becomes difficult to write the number as in this case, 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 1000000000. These numbers which are written as exponents are the powers of 10. Using the standard form, write number 73984 in expanded form.The powers of 10 means when 10 is multiplied a certain number of times, the product can be expressed using exponents. Simplify and write the answer in scientific rotation : (a) (5 × 10 3) × (3 × 10 5) (b) 2. (2 6 ÷ 2 -3) × 2 14 = 2 x Grade 7 Maths Exponents and Powers Long Answer Type Questionsġ. 4° × 6° + 100° Grade 7 Maths Exponents and Powers Short Answer Type QuestionsĪ. Speed of light in vacuum is 300,000,000 m/s. The distance between Earth and Moon is 384,000 km. Grade 7 Maths Exponents and Powers Very Short Answer Type Questions Grade 7 Maths Exponents and Powers Match of column: Column I (a) 2 6 (b) 16 2 (c) (d) none of these Grade 7 Maths Exponents and Powers Fill In The Blanksġ. Usual form of the expression 9 × 10 -5 is given by ……………. The Base in the expression 8 10 is ……………. Fill in the blank: (-1) odd number = ……………. Fill in the blank: (-1) even number = ………………. 7 × 10 -5 m is the standard form of which of the following ……………. The approximate distance of moon from the earth is 384, 467, 000 m and in exponential form this distance can be written as ……………. Where m and n are natural numbers:- (a) mn (b) m + n (c) m – n (d) m ÷ n 10. The exponent in the expression 3 7 is ……………. Simplify and write in exponential form of (-4) 100 × (-4) 20. Simplify and write in exponential form of 2 2 × 2 5 (a) 2 3 (b) 2 7 (c) 128 (d) none of these 5. Grade 7 Maths Exponents and Powers Multiple Choice Questions (MCQs)ġ.
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