EC D3-6: Review of Division Concepts ExpertChild Name: Date: Start Time: Grade: Number of mistakes: [1] : A+ 0 End Time: A 1 B 2-3 C 4-6 : D 7+ Divide 35 into 2 equal groups? Step 1: Show 35 as 3 tens and 5 ones. Draw 2 boxes for 2 equal groups. Record: 2 35 Step 2: Place an equal number of tens in each group. 1 ten in each group 2 35 − 2 tens used 1 ten left Step 3: Regroup the remaining tens and ones. So, regroup 1 ten and 5 ones as 15 ones. Place an equal number of ones in each group. R 2 35 − − 7 ones in each group 14 ones used 1 one left remainder So, 35 ÷ 2 = ____ R ___ Copyright 2005 by ExpertChild Institute of Education. 1 EC [1] ExpertChild D3-6: Review of Division Concepts 85 ÷ 6 = ____ R ___ Step 1: 85 = 8 tens + 5 ones Divide the tens: 8 ÷ 6 = 1 R2 Step 2: Bring down the 5 ones. Divide the ones: 25 ÷ 6 = 4 R1 R Write 1 in tens place 6 85 − Multiply: 6 × 1 = 6 Write 4 in ones place 6 85 − Subtract: 8 – 6 = 2 Multiply: 6 × 4 = 24 − Subtract: 25 – 24 = 1 The difference, 2, should be less than the divisor, 6. [2] The difference, 1, should be less than the divisor, 6. 87 ÷ 8 = ____ R ___ Step 1: 87 = 8 tens + 7 ones Divide the tens: 8 ÷ 8 = 1 R0 Step 2: Bring down the 7 ones. Divide the ones: 7 ÷ 8 = 0 R7 R Write 1 in tens place 8 87 − Multiply: 8 × 1 = 8 Write 0 in ones place 8 87 − Subtract: 8 – 8 = 0 − Multiply: 8 × 0 = 0 Subtract: 7 – 0 = 7 The difference, 0, should be less than the divisor, 8. The difference, 7, should be less than the divisor, 8. Copyright 2005 by ExpertChild Institute of Education. 2 EC D3-6: Review of Division Concepts ExpertChild Math Concept The result of division is correct, if (quotient × divisor) + remainder = dividend. Find the quotient and the remainder. Use equivalent multiplication sentence to check your answer. Circle “Yes” for correct answer and “No” for incorrect answer. [1] 17 ÷ 3 = ___ R ___ Check Divide divisor 5 quotient 3 17 – 15 2 dividend remainder So, 17 ÷ 3 = 5 R 2 5 ×3 15 + 2 17 quotient divisor remainder dividend Equivalent multiplication sentence: (5 × 3) + 2 = 17 [2] 19 ÷ 2 = ___ R ___ Yes No Multiplication sentence: _______________ [3] 25 ÷ 7 = ___ R ___ Yes No Multiplication sentence: _______________ Copyright 2005 by ExpertChild Institute of Education. 3 EC D3-6: Review of Division Concepts ExpertChild Math Concept Zero divided by any number except 0 is zero. We cannot divide zero by zero. Find the quotient. [1] 0 ÷ 5 = ____ [3] 0 ÷ 17 = ____ [2] 0 ÷ 13 = ____ [4] 0 ÷ 9 = ____ Math Concept As the number of zeros in the dividend increases, the number of zeros in the quotient also increases. Find the quotient. [5] 2100 ÷ 3 = ____ (think: 21 ÷ 3 = 7) dividend divisor quotient 21 ÷ 3 = 7 one zero 210 ÷ 3 = ____ one zero two zeros 2100 ÷ 3 = ____ two zeros [6] 240 ÷ 6 = ____ [9] 350 ÷ 7 = ____ [7] 480 ÷ 8 = ____ [10] 280 ÷ 4 = ____ [8] 600 ÷ 2 = ____ [11] 900 ÷ 9 = ____ Copyright 2005 by ExpertChild Institute of Education. 4 EC ExpertChild D3-6: Review of Division Concepts Math Concept If we divide a number by 10, • the quotient is the number formed by removing the digit in ones place • the remainder is the digit in the ones place For example, 67 ÷ 10 = 6 R 7 346 ÷ 10 = 34 R 6 Find the quotient and the remainder. [1] 38 ÷ 10 = 3 R 8 quotient = 3, the number without the digit in ones place remainder = 8, the number in the ones place [2] 165 ÷ 10 = 16 R 5 quotient = 16, the number without the digit in ones place remainder = 5, the number in the ones place [3] 43 ÷ 10 = ___ R __ [8] 61 ÷ 10 = ___ R __ [4] 24 ÷ 10 = ___ R __ [9] 90 ÷ 10 = ___ R __ [5] 75 ÷ 10 = ___ R __ [10] 54 ÷ 10 = ___ R __ [6] 134 ÷ 10 = ___ R __ [11] 200 ÷ 10 = ___ R __ [7] 15 ÷ 10 = ___ R __ [12] 86 ÷ 10 = ___ R __ Copyright 2005 by ExpertChild Institute of Education. 5 EC ExpertChild D3-6: Review of Division Concepts Solve the following problems. [1] 0 ÷ 2 = ____ [6] 0 ÷ 21 = ____ [2] 0 ÷ 17 = ____ [7] 0 ÷ 39 = ____ [3] 450 ÷ 5 = ____ [8] 360 ÷ 6 = ____ [4] 320 ÷ 4 = ____ [9] 480 ÷ 8 = ____ [5] 20 ÷ 1 = ____ [10] 600 ÷ 3 = ____ [11] 52 ÷ 10 = ___ R __ [16] 90 ÷ 10 = ___ R __ [12] 34 ÷ 10 = ___ R __ [17] 230 ÷ 10 = ___ R __ [13] 139 ÷ 10 = ___ R __ [18] 75 ÷ 10 = ___ R __ [14] 74 ÷ 10 = ___ R __ [19] 58 ÷ 10 = ___ R __ [15] 22 ÷ 10 = ___ R __ [20] 65 ÷ 10 = ___ R __ Copyright 2005 by ExpertChild Institute of Education. 6 EC D3-6: Review of Division Concepts ExpertChild Algebra (Divisibility Rules) Number 1 2 5 10 Divisibility Rule Every whole number is divisible by 1 The last digit must be even The last digit must be 5 or 0 The last digit must be 0 Find whether the number is divisible by 1, 2, 5, or 10. Circle your answers. [1] 80 1 2 5 10 [2] 125 1 2 5 10 [3] 79 1 2 5 10 Circle “True” or “False” for each sentence. [4] All even numbers are divisible by 2. True False [5] All numbers divisible by 10 are also divisible by 5. True False [6] All numbers divisible by 5 are also divisible by 10. True False [7] A number with 0 as the last digit is divisible by 5. True False [8] A number divisible by 2 is also divisible by 5. True False Copyright 2005 by ExpertChild Institute of Education. 7 EC ExpertChild D3-6: Review of Division Concepts Word Problems (Multi-Step Problem) [1] A coffee shop charges 2 dollars for each cup of coffee. The shop sold 65 cups on Saturday and 87 cups on Sunday. How much money did the shop get in these two days? Answer: ____ _________ (unit) [2] Mr. Smith had 30 crayons. He bought 15 more crayons from the store. He distributed all the crayons equally among several kids. If each kid got 5 crayons, how many kids were there? Answer: ____ _________ (unit) [3] Grade-2 students practice for their winter concert from 3:00 P.M. to 5:00 P.M. three times a week. For how many hours do they practice in 6 weeks? Answer: ____ _________ (unit) Copyright 2005 by ExpertChild Institute of Education. 8
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