Page 122 #10-25 ANSWERS

Student Progress Chart Lesson Reflection 3-7

Math Learning Goal Students will understand decimals.

Students will understand decimals by being able to do the following: Learn to write, compare, and order decimals using place value and number lines (3-1) Learn to estimate decimal sums, differences, products, and quotients (3-2) Learn to add and subtract decimals (3-3) Learn to multiply and divide decimals by powers of ten and to convert metric measurements (3-4) Learn to write large numbers in scientific notation (3-5) Learn to multiply decimals by whole numbers and by decimals (3-6) Learn to divide decimals by whole numbers (3-7)

Today’s Learning Goal Assignment Learn to divide decimals by whole numbers. Course Dividing Decimals by Whole Numbers

6 th Grade Math HW Page 126 #10-24 Course Dividing Decimals by Whole Numbers

3-7 Dividing Decimals by Whole Numbers Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Warm Up Divide ,000 ÷ ,219 ÷ ,180 ÷ 12 7, Course 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 Course Dividing Decimals by Whole Numbers

Today’s Learning Goal Assignment Learn to divide decimals by whole numbers. Course Dividing Decimals by Whole Numbers

Course Dividing Decimals by Whole Numbers Additional Example 1A: Dividing a Decimal by a Whole Number Find the quotient. A ÷ – 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. 0.28

Course Dividing Decimals by Whole Numbers Additional Example 1B: Dividing a Decimal by a Whole Number Find the quotient. B ÷ – – 36 0 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers

Course Dividing Decimals by Whole Numbers Try This: Example 1A Find each quotient. A ÷ – 6 12 – 12 0 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. 0.24

Course Dividing Decimals by Whole Numbers Try This: Example 1B Find the quotient. B ÷ – – 16 0 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers

Course Dividing Decimals by Whole Numbers Additional Example 2A: Evaluating Decimal Expressions Evaluate ÷ x for each given value of x. A. x = – 9 3 – 0 36 Substitute 9 for x ÷ x ÷ 9 – Sometimes you need to use a zero as a placeholder. 9 > 3, so place a zero in the quotient and divide 9 into 36.

Course Dividing Decimals by Whole Numbers Additional Example 2B: Evaluating Decimal Expressions Evaluate ÷ x for each given value of x. B. x = – 0 93 – Substitute 18 for x ÷ x ÷ 18 – Sometimes you need to use a zero as a placeholder. 18 > 9, so place a zero in the quotient and divide 18 into 93.

Course Dividing Decimals by Whole Numbers Try This: Example 2A Evaluate ÷ x for each given value of x. A. x = – 6 3 – 0 36 Substitute 6 for x ÷ x ÷ 6 – Sometimes you need to use a zero as a placeholder. 6 > 3, so place a zero in the quotient and divide 6 into 36.

Course Dividing Decimals by Whole Numbers Try This: Example 2B Evaluate ÷ x for each given value of x. B. x = – 0 63 – Substitute 12 for x ÷ x ÷ 12 – Sometimes you need to use a zero as a placeholder. 12 > 6, so place a zero in the quotient and divide 12 into 63.

Course Dividing Decimals by Whole Numbers Multiplication can “undo” division. To check your answer to a division problem, multiply the divisor by the quotient. Remember! divisor dividend quotient

Course Dividing Decimals by Whole Numbers Additional Example 3: Consumer Application Jodi and three of her friends are making a tile design. The materials cost $ If they share the cost equally, how much should each person pay? 4 $10.12 – 8 21 – $2. 53 $10.12 should be divided into four equal groups. Divide $10.12 by 4. – 12 0 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. Check 2.53  4 = Each person should pay $2.53.

Course Dividing Decimals by Whole Numbers Try This: Example 3 Ty and three of his friends are building a fence. The lumber cost $ If they share the cost equally, how much should each person pay? 4 $21.44 – – $5.36 $21.44 should be divided into four equal groups. Divide $21.44 by 4. – 24 0 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 = Each person should pay $5.36.

Lesson Quiz Find each quotient ÷ ÷ 8 Evaluate the expression 1.25 ÷ x for the given value of x. 3. x = 54. x = The tennis team is having 3 of their tennis rackets restrung. The total cost is $ What is the average cost per racket? Insert Lesson Title Here Course Dividing Decimals by Whole Numbers $18.25