Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Measurment |
Grade: Best-SAT3 Lesson: S4-P1 |
Explanation: The best way to understand SAT-3 is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
Convert 656% into a fractional and decimal number.
Step 1a
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The given Percent is 656%. To change the percent into a fraction, divide by 100, \$656/100\$. |
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Explanation: The given percentage is 656%. To convert it to a fraction, drop the % symbol and divide by 100: \$656/100\$. |
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Step 1b
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Simplify the fraction and then divide the fraction by 4: \$656/100 \div 4/4\$ = \$164/25\$ |
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Explanation: In this step, simplify the fraction and then divide the fraction by 4, then we get \$164/25\$. |
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Step 1c
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Convert the fraction to a decimal: \$164/25\$ is 6.56. |
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Explanation: In this step, finally convert the percentage to a fraction and decimal. So, 656% is 6.56. |
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Find 100 was increased by 9%.
Step 2a
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The percentage increase is 9%. Convert the percentage increase to a decimal, divide the percentage by 100, |
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Explanation: In this step, the percentage increase is 9%. To convert the percentage to a decimal, divide the percentage by 100: \$9/100\$ = 0.09. |
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Step 2b
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Multiply the original value by the decimal form of the percentage increase. Amount of Increase = Original Value × Decimal Form of Percentage Increase Amount of Increase = 100 × 0.09 = 9. Add the amount of increase to the original value: New Value = Original Value + Amount of Increase New Value = 100 + 9 = 9 So, when 100 is increased by 9%, the new value is 109. |
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Explanation: To calculate the amount of increase, multiply the original value by the decimal form of the percentage increase. Then, add the amount of increase to the original value to find the new value. Therefore, when 100 is increased by 9%, the new value is 109. |
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Find 75 was decreased by 6%.
Step 3a
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The percentage decrease is 6% and the orginal value is 75. Convert the percentage increase to a decimal, divide the percentage by 100, |
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Explanation: In this step, the percentage increase is 6%. To convert the percentage to a decimal, divide the percentage by 100: \$6/100\$ = 0.06. |
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Step 3b
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Multiply the original value by the decimal form of the percentage increase. Amount of Decrease = Original Value × Decimal Form of Percentage Increase Amount of Decrease = 75 × 0.06 = 4.5. Subttract the amount of decrease to the original value: New Value = Original Value - Amount of Decrease New Value = 75 - 4.5 = 70.5 So, when 75 is decreased by 6%, the new value is 70.5. |
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Explanation: To calculate the amount of decrease, multiply the original value by the decimal form of the percentage increase. Then, subtract the amount of decrease to the original value to find the new value. Therefore, when 75 is decreased by 6%, the new value is 70.5. |
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