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Understanding Decimal Multiplication and Word Problems: A Guide for Rational Numbers

In this lesson, we explore the process of adding and subtracting decimals through key steps. You will learn to fluently multiply multi-digit decimals by following a structured methodology that emphasizes the alignment of digits, ignoring decimal points during multiplication, and accurately placing decimal points in the final answer. By solving real-world problems, like calculating weights on the Moon, you will see practical applications of decimal multiplication. Practice with examples to solidify your understanding and enhance your skills in working with rational numbers.

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Understanding Decimal Multiplication and Word Problems: A Guide for Rational Numbers

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  1. Decimals…What’s the Point? Rational Numbers Part 1

  2. August 17th Warm up • Write the steps for adding and subtracting decimals. You need to have at least 4-5 steps. You can write a problem as one of your steps.

  3. Multi-digit decimals What am I Learning Today? How will I show that I learned it? By fluently multiplying muti-digit decimals.

  4. How do I multiply decimal numbers? 1) DO NOT line up the decimals. Simply line up the digits vertically. (The one with the most digits goes on top) 2) IGNORE THE DECIMAL and multiply like whole numbers. 3) Count the total number of decimal places in the problem. 4) Put the same number of decimal places in the answer. Questions Answers

  5. Look at this word problem.. Something that weighs 1 lb on Earth weighs 0.17 lb on the Moon. How much would a 4 lb dumbbell weigh on the Moon? Place the decimal point by adding the number of decimal places in the numbers multiplied. 0.17 2 decimal places  4 + 0 decimal places 0.68 2 decimal places A 4 lb dumbbell on Earth weighs 0.68 lb on the Moon.

  6. Multiply. Then place the decimal point. 2 decimal places + 1 decimal place 3 decimal places Multiplying a Decimal by a Decimal 1.34  2.5 1.34  2.5 670 2680 3.350 3.350 is the answer.

  7. Now Try These!! Find each product. 1. 0.8 2. 0.006  0.07 Evaluate 8x for each value of x.  0.07 0.056 0.00042 3.x = 2.705 4.x = 0.804 6.432 21.64 5. “Pick your own” peaches sell for $0.95 per pound. You picked 92 pounds of peaches. How much were you charged? $87.40

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