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6.4 – Dividing Decimal Numbers; Square Roots with Decimals

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Presentation on theme: "6.4 – Dividing Decimal Numbers; Square Roots with Decimals"— Presentation transcript:

1 6.4 – Dividing Decimal Numbers; Square Roots with Decimals
Math 50 6.4 – Dividing Decimal Numbers; Square Roots with Decimals

2 Ex ÷ ÷0.6 16÷−0.03

3 Ex 2. Write −17 2 11 as a decimal number.

4 Ex 3. Evaluate the square root. 04 0
Ex 3. Evaluate the square root In general, if you have an even number of decimal places: 1. Take square root without decimals 2. Use half as many decimal places.

5 Ex 3. Evaluate the square root. 04 0
Ex 3. Evaluate the square root In general, if you have an even number of decimal places: 1. Take square root without decimals 2. Use half as many decimal places.

6 Notice that 9 < 13 < 16. So, 3< 13 <4
Notice that 9 < 13 < 16 . So, 3< 13 <4. What kind of number is 13 ? It turns out 13 = …, where the decimal part does not terminate or repeat. A number where the decimal part does not terminate or repeat is called an ________________.

7 Notice that 9 < 13 < 16. So, 3< 13 <4
Notice that 9 < 13 < 16 . So, 3< 13 <4. What kind of number is 13 ? It turns out 13 = …, where the decimal part does not terminate or repeat. A number where the decimal part does not terminate or repeat is called an ________________.

8 Notice that 9 < 13 < 16. So, 3< 13 <4
Notice that 9 < 13 < 16 . So, 3< 13 <4. What kind of number is 13 ? It turns out 13 = …, where the decimal part does not terminate or repeat. A number where the decimal part does not terminate or repeat is called an ________________.

9 Notice that 9 < 13 < 16. So, 3< 13 <4
Notice that 9 < 13 < 16 . So, 3< 13 <4. What kind of number is 13 ? It turns out 13 = …, where the decimal part does not terminate or repeat. A number where the decimal part does not terminate or repeat is called an ________________.

10 Notice that 9 < 13 < 16. So, 3< 13 <4
Notice that 9 < 13 < 16 . So, 3< 13 <4. What kind of number is 13 ? It turns out 13 = …, where the decimal part does not terminate or repeat. A number where the decimal part does not terminate or repeat is called an ________________.

11 Notice that 9 < 13 < 16. So, 3< 13 <4
Notice that 9 < 13 < 16 . So, 3< 13 <4. What kind of number is 13 ? It turns out 13 = …, where the decimal part does not terminate or repeat. A number where the decimal part does not terminate or repeat is called an ________________. irrational number

12 Ex 4. Evaluate the square root with a calculator to the nearest hundredth. 0.081 ≈𝟎.𝟐𝟖 50 ≈𝟕.𝟎𝟕

13 Ex 4. Evaluate the square root with a calculator to the nearest hundredth. 0.081 ≈𝟎.𝟐𝟖 50 ≈𝟕.𝟎𝟕

14 Ex 4. Evaluate the square root with a calculator to the nearest hundredth. 0.081 ≈𝟎.𝟐𝟖 50 ≈𝟕.𝟎𝟕

15 Often, people approximate 𝝅 with 𝟑. 𝟏𝟒 Ex 5
Often, people approximate 𝝅 with 𝟑.𝟏𝟒 Ex 5. The radius of the Earth is about 3963 miles at the equator. Find the circumference of the Earth at the equator (use 𝜋≈3.14).


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