Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Decimals |
Grade: Core-SAT3 Lesson: S2-P2 |
Explanation: The best way to understand SAT-3 is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
Find the product 56.3 × 0.5.
Step 1a
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The multiplication process ignores the decimal points in the multiplicand and multiplier i.e., 56.3 × 0.5 equals 2815. After multiplication, count the number of decimal places in the decimal number: 56.3 has 1 decimal place, and 0.5 has 1 decimal place. Place the decimal point in the product as follows: 28.15. |
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Explanation: Multiplying decimal numbers, count the total decimal places in the original numbers. In this example, if you multiply 56.3 (which has 1 decimal place) by 0.5 (which also has 1 decimal place), the result will have a total of 2 decimal places. Therefore, (56.3) × (0.5) = 28.15. |
Divide 13.24 ÷ 1.2.
Step 2a
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To convert a decimal divisor into a whole number, you need to move the decimal point to the right. In this step, if the divisor is 1.2, convert it to 12 by moving the decimal point one position to the right. Similarly, when dividing a number like 13.24 by 1.2, you would move the decimal point one position to the right in 13.24, resulting in 132.4. |
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Explanation: First, convert the divisor into a whole number, i.e., 1.2 × 10 = 12. Then, multiply the dividend by the same number of tens using the divisor, i.e., 13.24 × 10 = 132.4. |
Step 2b
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Now divide the decimal number 132.4 by the whole number 12. Therefore, 132.4 ÷ 12 = 11.033. |
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Explanation: Divide normally, ignoring the decimal until the remainder is zero. In this step, 132.4 ÷ 12 becomes 11.033. |
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