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Problem Solving Strategies Using Multiplication to Divide How Many Groups? $ 3 + $ 2 = $ 5 Using a Number Line • Count back to divide • Start at 12 • Count back in 3s 0 5 1 2 3 4 6 7 8 9 10 11 12 13 14 16 17 18 19 15 20 4 3 2 1 12 ÷ 3 = 4 Jane spent $3 to buy a hot dog and $2 to buy an ice cream. How much did she spend? whole part part • Add to find the whole $ 12 – $ 3 = $ 9 • Subtract to find a part Ken had $12. He bought a ball for $3. How much money does he have left? Commutative Property of Addition Identity (zero) Property Relating Addition & Subtraction Associative Property of Addition • Adding 4 and 5 to get 9 is the opposite of 9 minus 5, leaving 4. • The sum of any number and zero is that same number. • Add the addends in any order and the sum will be the same. • Group the addends in any way and the sum will be the same. • 4 + 5 has the same sum as 5 + 4 • Although the addends were grouped in different ways, the sum is the same. whole part part addends difference sum addend addend sum 33 12 12 22 33 ?? 99 44 55 ?? 4 + 5 = 9 4 5 9 5 + 4 = 9 5 4 9 4 + 5 = 9 and 9 – 5 = 4 8 + ( 2 + 3) = 8 + 5 = 13 ( 8 + 2) + 3 = 10 + 3 = 13 8 + ( 2 + 3) = 8 + 5 = 3 © Copyright NewPath Learning. All Rights Reserved. 93-4306 www.newpathlearning.com Addition & Subtraction Number Sense

Problem Solving Strategies Jane spent $3 to buy a hot dog and $2 to buy an ice cream. How much did she spend? whole part part • to find the whole – • to find a part Ken had $12. He bought a ball for $3. How much money does he have left? Commutative Property of Addition Identity (zero) Property Relating Addition & Subt raction Associative Property of Addition • Adding 4 and 5 to get 9 is the opposite of 9 minus 5, leaving 4. • The sum of any number and zero is that same number. • Add the in any order and the will be the same. • Group the in any way and the will be the same. • 4 + 5 has the same sum as 5 + 4 • Although the addends were grouped in different ways, the sum is the sam . whole part part ? 99 44 55 ? 4 + 5 = 9 4 5 9 5 + 4 = 9 5 4 9 4 + 5 = 9 and 9 – 5 = 4 8 + ( 2 + 3) = 8 + 5 = 13 ( 8 + 2) + 3 = 10 + 3 = 13 Key Vocabulary Terms • add • difference • subtract • addend • identity property • sum • associative property • minus • whole • commutative property • part Addition & Subtraction Number Sense © Copyright NewPath Learning. All Rights Reserved. 93-4306 www.newpathlearning.com \|xiBAHBDy01636mzV