☰ Year plan · Mathematics

Term 1 review

Week 15 · Term 1 review · 3 lessons
3

Review: multiplying, dividing and order of operations

Discover Mathematics P4: Term 1, Units 1–8, Review
GoalReview multiplying, dividing, factors and multiples, and order of operations.
New words
factor · a number that divides another number exactlymultiple · a number in the times table of another numberorder of operations · parentheses, then × and ÷, then + and −
Explanation

To multiply by 2 digits, find a row for the ones and a row for the tens, with a 0 as place holder, and add the rows. To divide, work from the left: divide, multiply, subtract, bring down; write the remainder and check with quotient × divisor + remainder. Factors are numbers that divide a number exactly, and the greatest common factor is the biggest factor shared by two numbers. Multiples are the numbers in the times table; the first multiple that two numbers share is their lowest common multiple. In expressions, parentheses come first, then multiplication and division, then addition and subtraction from left to right. Multiplicative comparison says that a number is a given number of times as many as another: 20 is 4 times as many as 5.

TopicRemember
Multiplyingrows for ones and tens, add them
Dividingdivide, multiply, subtract, bring down
Factors, multiplesGCF is shared and greatest; LCM is shared and lowest
Order( ) then × ÷ then + −
Worked examples
RowWorkResult
158 × 6348
258 × 301,740
Sum348 + 1,7402,088
Find 58 × 36. 58 × 6 = 348 and 58 × 30 = 1,740. 348 + 1,740 = 2,088. Estimate: 60 × 40 = 2,400 is a little more, so it is sensible.
947 kg of beans go into bags of 6 kg. 947 ÷ 6 = 157 R 5. So 157 full bags and 5 kg left. Check: 6 × 157 + 5 = 942 + 5 = 947.
Two buses leave a station together. One leaves every 4 minutes and the other every 6 minutes. Multiples of 4: 4, 8, 12. Multiples of 6: 6, 12. They meet again after 12 minutes (the lowest common multiple). For 18 and 24 the factors they share are 1, 2, 3 and 6, so the GCF is 6.
Class activity

Dice duel. Roll a die four times to make a 3-digit number and a 1-digit number. Multiply and then divide the product by the 1-digit number to get back the 3-digit number.

Practice
1
Find 7 × 4,206.
2
Find 43 × 25.
3
Find 845 ÷ 7 and check.
4
Find 12 + 18 ÷ 3 and (12 + 18) ÷ 3.
5
Find the GCF of 24 and 36 and the first three multiples of 24.