🟦 1. Multiplicative Comparisons
There are 4 red apples. There are 3 times as many green apples. How many green apples are there?
Answer: 12
What is 6 × 10?
Answer: 60
Round 47 to the nearest ten.
Answer: 50
Use the distributive property to solve:
6 × 23
Answer: 6 × 20 + 6 × 3 = 120 + 18 = 138
Which property is shown?
4 × 7 = 7 × 4
Commutative Property
Complete the comparison:
24 is ___ times as many as 6.
Answer: 4
What is 34 × 100?
Answer: 3,400
Estimate: 38 × 6
Answer: 40 × 6 = 240
Break apart 47 to solve 8 × 47 using the distributive property.
Answer: 8 × 40 + 8 × 7 = 376
Which property is shown?
(2 × 5) × 3 = 2 × (5 × 3)
Associative Property
Write two comparison statements for:
5 × 7 = 35
35 is 5 times as many as 7.
35 is 7 times as many as 5.
What is 52 × 1,000?
Answer: 52,000
Estimate: 72 × 29
Answer: 70 × 30 = 2,100
Write 326 in expanded form.
Answer: 300 + 20 + 6
A school orders 9 boxes of notebooks. Each box contains 28 notebooks. The teachers use 75 notebooks during the first week.
How many notebooks are left?
9 × 28 = 252
252 − 75 = 177 notebooks
Complete both statements:
6 is ___ times as many as 48
8 is ___ times as many as 48.
8,6
What is 700 × 10?
Answer: 7,000
Estimate: 398 × 7
Answer: 400 × 7 = 2,800
Use expanded form to solve:
24 × 13
20 × 10 + 20 × 3 + 4 × 10 + 4 × 3
= 200 + 60 + 40 + 12
= 312
A teacher buys 7 packs of stickers. Each pack has 36 stickers. She already had 45 stickers in her classroom.
How many stickers does she have altogether?
7 × 36 = 252
252 + 45 = 297 stickers
A class has 9 students. Another class has 4 times as many students. How many students are in the second class? Write a comparison statement.
36 students; 36 is 4 times as many as 9.
What pattern do you notice when multiplying a whole number by 10, 100, or 1,000?
Answer: The digits shift to larger place values. The number becomes 10, 100, or 1,000 times greater.
A student says 62 × 41 = 25,442. Use estimation to decide if the answer makes sense.
Answer: No. 60 × 40 = 2,400, so 25,442 is much too large.
Use partial products to solve:
36 × 24
36 × 20 = 720
36 × 4 = 144
720 + 144 = 864
A school is preparing gift bags for an event. There are 6 classes, and each class has 27 students. The school makes 20 extra gift bags. After the event, 38 gift bags are left over.
How many gift bags were given to students?
Answer:
6 × 27 = 162
162 + 20 = 182
182 − 38 = 144 gift bags