{"id":180,"date":"2022-04-12T09:47:59","date_gmt":"2022-04-12T09:47:59","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=180"},"modified":"2025-02-10T04:34:58","modified_gmt":"2025-02-10T04:34:58","slug":"i-2-evaluate-exponents","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/i-2-evaluate-exponents\/","title":{"rendered":"I.2 Evaluate exponents"},"content":{"rendered":"\n

Evaluate exponents<\/strong><\/h2>\n\n\n\n

Key notes:<\/p>\n\n\n\n

Understanding Exponents<\/strong>: <\/p>\n\n\n\n

Explain that exponents show how many times a number (base) is multiplied by itself.<\/p>\n\n\n\n

Basic Exponent Rules<\/strong>: <\/p>\n\n\n\n

Introduce rules like am<\/sup> \u00d7 an<\/sup> = am+n<\/sup> and am<\/sup>\/an<\/sup> = am\u2212n<\/sup> emphasizing how exponents behave in multiplication and division.<\/p>\n\n\n\n

Negative Exponents<\/strong>: <\/p>\n\n\n\n

Discuss how a\u2212n<\/sup> is equivalent to 1\/an<\/sup> \u200b, illustrating the concept of reciprocals.<\/p>\n\n\n\n

Zero Exponent<\/strong>: <\/p>\n\n\n\n

Teach that a0<\/sup> = 1 for any nonzero number aaa, emphasizing this as a fundamental property.<\/p>\n\n\n\n

Practical Examples<\/strong>: <\/p>\n\n\n\n

Use examples like 23<\/sup> = 2 \u00d7 2 \u00d7 2 = 8 to demonstrate exponentiation in action.<\/p>\n\n\n\n

Order of Operations<\/strong>: <\/p>\n\n\n\n

Clarify the importance of following the order of operations when evaluating expressions with exponents.<\/p>\n\n\n\n

Application Problems<\/strong>: <\/p>\n\n\n\n

Provide word problems that involve real-world scenarios where exponents are used, such as calculating areas or volumes.<\/p>\n\n\n\n

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An exponent<\/strong> tells you how many times its base<\/strong> is used as a factor.<\/p>\n\n\n\n

Exponents are used to write repeated multiplication.<\/p>\n\n\n\n

For example, for a base of 4:<\/p>\n\n\n\n

42 <\/sup>= 4 \u00b7 4 = 16<\/p>\n\n\n\n

43<\/sup> = 4 \u00b7 4 \u00b7 4 = 64<\/p>\n\n\n\n

44<\/sup> = 4 \u00b7 4 \u00b7 4 \u00b7 4 = 256<\/p>\n\n\n\n

45<\/sup> = 4 \u00b7 4 \u00b7 4 \u00b7 4 \u00b7 4 = 1,024<\/p>\n<\/div><\/div>\n\n\n\n

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An exponent<\/strong> tells you how many times its base<\/strong> is used as a factor.<\/p>\n\n\n\n

Exponents are used to write repeated multiplication.<\/p>\n\n\n\n

For example, for a base of 5:<\/p>\n\n\n\n

52<\/sup> = 5 \u00b7 5 = 25<\/p>\n\n\n\n

53<\/sup> = 5 \u00b7 5 \u00b7 5 = 125<\/p>\n\n\n\n

54<\/sup> = 5 \u00b7 5 \u00b7 5 \u00b7 5 = 625<\/p>\n\n\n\n

55<\/sup> = 5 \u00b7 5 \u00b7 5 \u00b7 5 \u00b7 5 = 3,125<\/p>\n<\/div><\/div>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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\ud83d\udce2 Evaluate. 52<\/sup> = ____<\/strong><\/p>\n<\/div><\/div>\n\n\n\n