"Square Root" Real Numbers PPT Courseware 5

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"Square Root" Real Numbers PPT Courseware 5

Application examples

Example 1 Find the arithmetic square root of each of the following numbers:

(1)900; (2)1; (3)49/64; (4)14.

Do it

Example 3 If a rectangle ABCD is folded, a square ABFE with an area of ​​144cm2 is obtained. It is known that the area of ​​the square ABFE is equal to twice the area of ​​the rectangle CDEF. Find the length and width of the rectangle ABCD.

Solution: Let the side length of square ABFE be a,

We have a2 = 144, so a = =12,

So AB = AE =EF=CD= 12.

And because SABFE=2SCDEF,

Assume FC=x,

So 144=2×12x ,

x = 6.

So BC=BF+FC=12+6=18(cm).

So the length of the rectangle is 18cm and the width is 12cm.

Learning summary

(1) The concept of arithmetic square roots, the double non-negativity in the formula root a: one is a≥0, the other is the root a≥0.

(2) Properties of arithmetic square roots:

The arithmetic square root of a positive number is a positive number;

The arithmetic square root of 0 is 0;

There are no arithmetic square roots for negative numbers.

(3) The operation of finding the arithmetic square root of a positive number and the square operation are reciprocal operations. Use this reciprocal operation relationship to find the arithmetic square root of a non-negative number.

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For more information about the "Square Roots of Real Numbers" PPT courseware, please click the Square Roots ppt Real Numbers ppt tag.

"Square Root" PPT courseware 9:

"Square Roots" PPT Courseware 9 Learning Objectives 1. Be able to tell the meaning of arithmetic square roots, and be able to use symbols to represent the arithmetic square roots of positive numbers. (Key Points) 2. Be able to use square operations to find the arithmetic square roots of certain non-negative numbers. (Key Points) 3 . Be able to understand and apply the properties of square roots in arithmetic..

"Square Root" PPT courseware 8:

"Square Root" PPT Courseware 8 [Learning Objectives] (Only when you have a goal in mind will you have a direction in learning) 1. Understand the definition of square root, master the properties of square root, and use the root sign to represent the square root of a number. 2. Know that the square root and the square are mutually exclusive The inverse operation will make use of this reciprocal operation.

"Square Root" PPT courseware 7:

"Square Root" PPT Courseware 7 Knowledge Review ⑴ The square root of 25 is 5. ⑵ The square root of 81 is 9. ⑶ The square root of 49/64 is 7/8. ⑷ The square root of 0 is 0. ⑸ Does -4 have a square root? Arithmetic square root The positive square root a of a positive number a is called the arithmetic square of a..

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Update Time: 2024-07-30

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

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