How do we write remainders? Up until this point, you have # of red streamers __________ probably been writing remainders as 3”. Now that you know “R # of blue streamers __________ more about what a remainder is, you will need to write your remainders differently to reflect what a remainder actually Long Division represents. We can work with remainders in one of two ways: The purpose of division is to determine how many times the divisor fits into the dividend. Remainders as Fractions Division is the inverse (opposite operation) of multiplication. You Divide: 139 6 can use multiplication to or check your answer. Multiply “undo” the quotient by the divisor and you should get the dividend. Note: When you divide, the divisor (6) goes into the dividend (139), 23 whole times, but there is 1 left over that won’t Example: make another group of 6. 1 is the remainder. We it as a fraction with the remainder over the divisor. is one left when we “There needed six to make another whole.” Long Division and Remainders Remainders as Decimals What is a remainder? A __________ exists when your __________ When you want to write your remainder as a decimal, you add doesn’t go into your __________ evenly, meaning that you don’t a zero and continue to divide until you get a remainder of zero have enough remaining to make another group. It is the or you round your answer according to your instructions. If there __________” amount after you have divided. “_________ is no decimal, you must add a decimal before you add a zero. Example: You Try: 1) 23 4 = Find the quotient and write the remainder as a fraction. 1) 154 ÷ 4 = 2) 121 ÷ 8 = 4 goes into 23 five whole times, but there are three more left. Those three won’t allow us to make another group of 4, so 3 is the remainder.
# of red streamers __________ # of blue streamers __________ Long Division The purpose of division is to determine how many times the divisor fits into the dividend. Division is the inverse (opposite operation) of multiplication. You can use multiplication to “undo” or check your answer. Multiply the quotient by the divisor and you should get the dividend. Example: Long Division and Remainders What is a remainder? A __________ exists when your __________ doesn’t go into your __________ evenly, meaning that you don’t have enough remaining to make another group. It is the “_________ __________” amount after you have divided. Example: 1) 23 4 = 4 goes into 23 five whole times, but there are three more left. Those three won’t allow us to make another group of 4, so 3 is the remainder. How do we write remainders? Up until this point, you have probably been writing remainders as “R 3”. Now that you know more about what a remainder is, you will need to write your remainders differently to reflect what a remainder actually represents. We can work with remainders in one of two ways: Remainders as Fractions Divide: 139 6 Note: When you divide, the divisor (6) goes into the dividend (139), 23 whole times, but there is 1 left over that won’t make another group of 6. 1 is the remainder. We it as a fraction with the remainder over the divisor. “There is one left when we needed six to make another whole.” Remainders as Decimals When you want to write your remainder as a decimal, you add a zero and continue to divide until you get a remainder of zero or you round your answer according to your instructions. If there is no decimal, you must add a decimal before you add a zero. You Try: Find the quotient and write the remainder as a fraction. 1) 154 ÷ 4 = 2) 121 ÷ 8 =
unit_1_msg_complete__67_.docx