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Authoritative PPT Summary
"Interconversion of Percents and Decimals" Percent PPT Courseware
teaching objectives
1. Combined with specific examples, go through the process of finding percentages and summarizing the methods of converting decimals and percentages into each other.
2. Master the method of calculating percentages, be able to convert decimals and percentages into each other, and be able to answer simple questions of finding what percentage of one number is another.
3. Understand the inner connection between mathematical knowledge and obtain a pleasant mathematics learning experience.
The following table shows the status of tree planting by teachers and students of Yucai School for three consecutive years.
Do the math, what percentage of the trees planted in 2010, 2011 and 2012 survived?
2012: 199÷200＝0.995
2011: 145÷150≈0.967
2010: 112÷120=0.925
Think about it, how to convert decimals into percentages?
2012: 199÷200=0.995=99.5%
2011: 145÷150≈0.967≈96.7%
2010: 112÷120=0.925=92.5%
A middle school planned to plant 250 trees in the spring, but actually planted 295 trees. What percent of the trees actually planted were compared to those planned?
295÷250＝1.18＝118%
A: The actual trees planted were 118% of the planned trees.
Think about it, how do you convert a percentage into a decimal?
In conclusion
How to convert a decimal into a percentage: Just move the decimal point two places to the right (if there are not enough digits, use "0" to make up), and add a percent sign at the end.
How to convert percentages to decimals:
(1) First write the percentage as a fraction with a denominator of 100, and then rewrite the fraction into a decimal.
(2) Remove the percent sign and move the decimal point two places to the left. If there are not enough digits, use "0" to make up for it.
give it a try
Convert the following decimals into percentages and percentages into decimals.
1.37 2.3 0.0458 17.5% 128% 0.9%
137% 230% 4.58% 0.175 1.28 0.009
practice
1. Students in fifth and sixth grade watered trees, 72 in fifth grade and 88 in sixth grade.
(1) What percentage of the total trees are watered in the fifth grade?
72÷(72+88)=45%
(2) What percentage of the trees watered by the sixth grade accounted for the total number of trees?
88÷(72+88)＝55%
2. Build a 300-kilometer-long road.
(1) What percentage of the total length of the road has been built?
110÷300≈36.7%
(2) What percentage of the total length is the unbuilt road?
(300－110)÷300≈63.3%
3. A fertilizer factory planned to produce 780 tons of fertilizer in the third quarter, but actually produced 960 tons. What percentage of actual fertilizer production is planned?
960÷780≈123.1%
Answer: The actual production of fertilizers is 123.1% of the planned production.
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"Interconversion of Percents and Decimals" PPT courseware:
"Interconversion of Percents and Decimals" PPT courseware Warm-up exercise: Can you convert the following decimals into fractions? 0.1 0.23 0.731 1.99 Solution: Can you convert the following decimals into percentages? 0.38 1.05 0.055 3 Judgment, hit the right one and the wrong one. ..
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"Interconversion of Percents and Decimals" Flash animation courseware This animated courseware helps students understand and apply the knowledge they have learned through exercises, fully demonstrates the knowledge points of "Interconversion of Percents and Fractions and Decimals" and improves students' interest in learning. , to help teachers be more...