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November 29, 2011. Write your homework in your agenda: Set up for Cornell Notes. Let’s review your warm-up on decimal operations. Rational numbers (decimals). What am I Learning Today?. How will I show that I learned it?.
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November 29, 2011 • Write your homework in your agenda: • Set up for Cornell Notes. • Let’s review your warm-up on decimal operations.
Rational numbers (decimals) What am I Learning Today? How will I show that I learned it? Divide decimal numbers by whole numbers and decimal numbers accurately
Remember these division terms! Quotient 0.15 0.75 5 Divisor Dividend
How do I divide decimal numbers by whole numbers? 1) Bring the decimal point up on top of the division bar. 2) Divide normally. Questions Answers 1) Move the decimal point in your divisor to the far right of the number. 2) Move the decimal in your dividend the same number of places to the right as the divisor. 3) Bring your decimal point up and divide normally How do I divide decimal numbers by decimal numbers? If the decimal quotient doesn’t terminate, how do I know when to stop? Divide out to the thousandths place and round back to the hundredths place. How do I know if a decimal quotient is repeating? If you complete the same subtraction problem twice while dividing.
Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. Dividing a Decimal by a Whole Number Find the quotient. 3.56 ÷ 4 0. 8 9 4 3.56 – 32 36 – 36 0
Multiply the divisor and dividend by the same power of ten. There is one decimal place in the divisor. Multiply by 101, or 10. Think: 1.3 x 10 = 13 5.2 x 10 = 52 Divide. Dividing a Decimal by a Decimal Find the quotient. 5.2 ÷ 1.3 1.3 5.2 4 13 52 –52 0 5.2 ÷ 1.3 = 4
36 6,130.000 Think: 0.36 x 100 = 36 61.3 x 100 = 6,130 Make the divisor a whole number by multiplying the divisor and dividend by 102, or 100. Dividing a Decimal by a Decimal 61.3 ÷ 0.36 0.36 61.30
__ When a repeating pattern occurs, show three dots or draw a bar over the repeating part of the quotient. Place the decimal point in the quotient. Divide. 61.3 ÷ 0.36 = 170.27 Example Continued 0 .2 1 7 7 7 36 6,130.000 -36 253 -252 10 -0 100 -72 280 -252 280 -252 28
Now Try These! Find each quotient. 1. 49 ÷ 0.7 2. 21.63 ÷ 2.1 3. 38.43 ÷ 6.1 4. 16.9 ÷ 5.2 5. John spent $13.44 renting 4 videos for the weekend. What was the cost per video? 70 10.3 6.3 3.25 $3.36