* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Dividing Decimals by Whole numbers
Survey
Document related concepts
Georg Cantor's first set theory article wikipedia , lookup
History of logarithms wikipedia , lookup
Law of large numbers wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Infinitesimal wikipedia , lookup
Approximations of π wikipedia , lookup
Hyperreal number wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
Large numbers wikipedia , lookup
Real number wikipedia , lookup
Location arithmetic wikipedia , lookup
Positional notation wikipedia , lookup
Transcript
3-5 Dividing Decimals by Whole Numbers Warm Up Problem of the Day Lesson Presentation Lesson Quizzes 3-5 Dividing Decimals by Whole Numbers Warm Up Divide. 1. 56,000 ÷ 8 7,000 2. 5,219 ÷ 17 307 3. 9,180 ÷ 12 765 3-5 Dividing Decimals by Whole Numbers Problem of the Day In his pocket, Bill has $0.77 made up of 10 coins. What are the coins? 1 quarter, 3 dimes, 4 nickels, and 2 pennies 3-5 Dividing Decimals by Whole Numbers Sunshine State Standards MA.6.A.1.2 Multiply and divide…decimals efficiently. Also MA.6.A.1.1, MA.6.A.1.3 3-5 Dividing Decimals by Whole Numbers Remember! Quotient 0.15 5 0.75 Divisor Dividend 3-5 Dividing Decimals by Whole Numbers Additional Example 1A: Dividing a Decimal by a Whole Number Find the quotient. 0.84 ÷ 3 0.28 3 0.84 –6 24 – 24 0 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. 3-5 Dividing Decimals by Whole Numbers Additional Example 1B: Dividing a Decimal by a Whole Number Find the quotient. 3.56 ÷ 4 0. 89 4 3.56 – 32 36 – 36 0 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. 3-5 Dividing Decimals by Whole Numbers Check It Out: Example 1 Find the quotient of 2.96 ÷ 4. 0. 74 4 2.96 – 28 16 – 16 0 3-5 Dividing Decimals by Whole Numbers Additional Example 2A: Evaluating Decimal Expressions Evaluate 0.936 ÷ x for the given value of x. x=9 0.936 ÷ x 0.936 ÷ 9 0.104 9 0.936 –9 3 –0 36 – 36 0 Substitute 9 for x. Sometimes you need to use a zero as a placeholder. 9 > 3, so place a zero in the quotient and divide 9 into 36. 3-5 Dividing Decimals by Whole Numbers Additional Example 2B: Evaluating Decimal Expressions Evaluate 0.936 ÷ x for the given value of x. x = 18 0.936 ÷ x 0.936 ÷ 18 0.052 18 0.936 –0 93 – 90 36 – 36 0 Substitute 18 for x. Sometimes you need to use a zero as a placeholder. 18 > 9, so place a zero in the quotient and divide 18 into 93. 3-5 Dividing Decimals by Whole Numbers Check It Out: Example 2 Evaluate 3.054 ÷ a for a = 6. 0.509 6 3.054 –30 5 –0 54 – 54 0 3-5 Dividing Decimals by Whole Numbers Remember! Multiplication can “undo” division. To check your answer to a division problem, multiply the divisor by the quotient. 3-5 Dividing Decimals by Whole Numbers Additional Example 3: Consumer Application Jodi and three of her friends are making a tile design. The materials cost $10.12. If they share the cost equally, how much should each person pay? $10.12 should be divided into four equal groups. Divide $10.12 by 4. $2. 53 Place a decimal point in the quotient 4 $10.12 directly above the decimal point in –8 the dividend. Divide as you would with whole numbers. 21 – 20 Check 12 2.53 4 = 10.12 – 12 Each person should pay $2.53. 0 3-5 Dividing Decimals by Whole Numbers Check It Out: Example 3 Manuel and two of his friends went to lunch. With tip and tax, the bill came to $25.11. The friends agreed to split the cost equally. How much should each person pay? 8.3 7 3 25.11 – 24 11 –9 21 – 21 0 Each person should pay $8.37.