"Traveling to the Three Gorges" PPT courseware 5

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"Traveling to the Three Gorges" PPT courseware 5

1. Situation introduction

There are 8 pieces of bacon in a box and cost 97 yuan.

How much does each piece of bacon cost on average?

I bought 6 boxes of tea and spent a total of 350 yuan.

How much does each box of tea cost on average?

What mathematical information do you know from the picture?

What questions can you ask based on this information?

2. Cooperation and exploration

Observe and compare the quotients of the following equations. What do you find?

350÷6＝58.333···

63÷22＝2.8636363···

8.05÷3.7=2.1756756756···

A decimal with a finite number of digits in the decimal part is called a finite decimal. For example: 12.125.

A decimal that has infinite digits in the decimal part is called an infinite decimal. Such as: 3.181818···.

Like 58.333···, 2.8636363···, 2.1756756756···, the decimal part starts from a certain digit, and one number or several numbers appear repeatedly in sequence. Such decimals are called recurring decimals.

The decimal part of a recurring decimal, the numbers that appear repeatedly in sequence, are called the recurring section of this decimal. For example: the cyclic section of 5.606060··· is "60", and the cyclic section of 2.4666··· is "6".

When writing a loop section, you can write only one loop section. If the cyclic section has only one digit, place a dot above it; if the cyclic section has more than one digit, place a dot above the first and last digits of the cyclic section.

For example: 2.4666···=2.46,

5.606060···=5.60,

2.1756756···=2.1756.

3. Independent practice

1. Among the following decimals, which ones are recurring decimals?

0.875 0.6333··· 2.0818181··· 73.444

58.333··· 1.1212 18.222 6.1756756···

2. Use a calculator to calculate first, and then draw "√" if the number is a finite decimal.

10÷3＝3.333 5÷8＝0.625 1.1÷7＝0.157142

66.1÷0.9＝73.444 4.16÷1.3＝３.2

3. Uncle Zhao drives out to study. The round-trip distance is 285 kilometers. If each liter of gasoline can cover 9.8 kilometers, how many liters of gasoline are needed for a round trip? (Keep the result as an integer).

285÷9.8≈29 (L)

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Update Time: 2024-06-19

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