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Divisibility Rules Division 3 + 3 + 3 + 3 = 12 3 x 4 = 12 • Division is repeated subtraction and the inverse operation of multiplication. Divide 8 tens by 6. Each group gets 1 ten, with 2 tens remaining. To check your answer, multiply the quotient by the divisor and add the remainder if any. Bring down the ones and divide. 12 ÷ 4 = 3 number of items number of items in each group number of groups dividend divisor quotient Step 1 Step 2 Step 3 4 3 12 84 1 2 – 6 6 84 1 4 24 24 – – 6 6 0 14 6 x 84 • multiply: 6 x 4 • subtract: 24 – 24 • compare: 0 < 6 The answer checks if the product is the same as the dividend 2 • Dividend is the number that is divided. • Divisor is the number by which the dividend is being divided. • Quotient is the answer to a division problem. dividend divisor quotient Find 84 ÷ 6 • multiply: 1 x 6 • subtract: 8 – 6 • compare: 2 < 4 2 3 4 5 6 7 8 9 10 If the ones (last) digit is even If the sum of the digits are divisible by 3 If the sum of its digits is divisible by 9 If the number is divisible by both 2 and 3 If the number ends in 0 If the last two digits are divisible by 4 If the last three digits are divisible by 8 A whole number is divisible by: If the ones (last) digit is 0 or 5 If the number is divisible by 7 © Copyright NewPath Learning. All Rights Reserved. 93-4403 www.newpathlearning.com Dividing Two-digit Numbers

Divisibility Rules Division 3 + 3 + 3 + 3 = 12 3 x 4 = 12 • Division is and the inverse operation of multiplication. Divide 8 tens by 6. Each group gets 1 ten, with 2 tens remaining. To check your answer, multiply the quotient by the divisor and add the remainder if any. Bring down the ones and divide. 12 ÷ 4 = 3 number of items number of items in each group number of groups Step 1 Step 2 Step 3 4 3 12 84 1 2 – 6 6 84 – – 6 6 14 6 x • multiply: 6 x 4 • subtract: 24 – 24 • compare: 0 < 6 The answer checks if the product is the same as the dividend • Dividend is the number that is divided. • Divisor is the number by which the dividend is being divided. • Quotient is the answer to a division problem. Find 84 ÷ 6 • multiply: 1 x 6 • subtract: 8 – 6 • compare: 2 < 4 2 3 4 5 6 7 8 9 10 A whole number is divisible by: Key Vocabulary Terms • digit • multiplication • dividend • quotient • division • remainder • divisor • repeated subtraction • inverse operation © Copyright NewPath Learning. All Rights Reserved. 93-4403 www.newpathlearning.com Dividing Two-digit Numbers \|xiBAHBDy01644rzu