Our Focus Standard MCC 6 NS 3 Fluently
- Slides: 13
Our Focus Standard: MCC 6. NS. 3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. EQ: How do I divide decimals? EU: Place value takes on different roles when adding, subtracting, multiplying, and dividing decimals. Vocab: Divisor- the number you are dividing by Dividend- the number you want to divide up Quotient- the answer to a division problem Algorithm- a step by step process used to solve a problem in math
3 -6 Dividing Decimals by Whole Numbers Remember! Quotient 0. 15 5 0. 75 Divisor Course 1 Dividend
3 -6 Dividing Decimals by Whole Numbers Additional Example 1 A: Dividing a Decimal by a Whole Number Find the quotient. 0. 84 ÷ 3 0. 28 3 0. 84 – 6 24 – 24 0 Course 1 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers.
3 -6 Dividing Decimals by Whole Numbers Additional Example 1 B: Dividing a Decimal by a Whole Number Find the quotient. 3. 56 ÷ 4 0. 89 4 3. 56 – 32 36 – 36 0 Course 1 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers.
3 -6 Dividing Decimals by Whole Numbers Check It Out: Example 1 B Find the quotient. 2. 96 ÷ 4 0. 74 4 2. 96 – 28 16 – 16 0 Course 1 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers.
3 -6 Dividing Decimals by Whole Numbers Additional Example 2 A: 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 Course 1 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 -6 Dividing Decimals by Whole Numbers Remember! Multiplication can “undo” division. To check your answer to a division problem, multiply the divisor by the quotient. Course 1
3 -6 Dividing Decimals by Whole Numbers Check It Out: Example 3 Ty and three of his friends are building a fence. The lumber cost $21. 44. If they share the cost equally, how much should each person pay? $21. 44 should be divided into four equal groups. Divide $21. 44 by 4. $5. 36 4 $21. 44 – 20 14 – 12 24 – 24 0 Course 1 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. Check 5. 36 4 = 21. 44 Each person should pay $5. 36.
Decimals by Whole 3 -6 Dividing Insert Lesson Title Here Numbers Lesson Quiz Find each quotient. 1. 3. 12 ÷ 8 0. 39 2. 5. 68 ÷ 8 0. 71 Evaluate the expression 1. 25 ÷ x for the given value of x. 3. x = 5 0. 25 4. x = 25 0. 05 5. The tennis team is having 3 of their tennis rackets restrung. The total cost is $54. 75. What is the average cost per racket? $18. 25 Course 1
3 -7 Dividing by Decimals Additional Example 1 A: Dividing a Decimal by a Decimal Find the quotient. 5. 2 ÷ 1. 3 5. 2 4 13 52 – 52 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 Divide. 5. 2 ÷ 1. 3 = 4 Course 1 5. 2 x 10 = 52
3 -7 Dividing by Decimals Additional Example 1 B: Dividing a Decimal by a Decimal 61. 3 ÷ 0. 36 61. 30 36 6, 130. 000 Course 1 Make the divisor a whole number by multiplying the divisor and dividend by 102, or 100. Think: 0. 36 x 100 = 36 61. 3 x 100 = 6, 130
3 -7 Dividing by Decimals Check It Out: Example 1 B 51. 2 ÷ 0. 24 51. 2 0 24 5120. 00 Course 1 Make the divisor a whole number by multiplying the divisor and dividend by 102, or 100. Think: 0. 24 x 100 = 24 51. 2 x 100 = 5, 120
3 -7 Dividing Insert Lesson by Decimals Title Here Lesson Quiz Find each quotient. 1. 49 ÷ 0. 7 70 2. 21. 63 ÷ 2. 1 10. 3 3. 38. 43 ÷ 6. 1 6. 3 4. 16. 9 ÷ 5. 2 3. 25 5. John spent $13. 44 renting 4 videos for the weekend. What was the cost per video? $3. 36 Course 1
