Numbers and Order
What is the smallest whole number?
0
Start at 8 on a number line. Move 7 steps right. Where do you land?
15.
8 + 7 = 15.
What is the identity element for multiplication?
1.
Multiplying any number by 1 keeps its value.
Calculate: 0 ÷ 9.
0
Calculate: 9 + 3 × 4.
21.
Multiply first: 9 + 12 = 21.
Which number is not a natural number: 0, 8, 15 or 23?
0
Start at 24 on a number line. Move 9 steps left. Where do you land?
15.
24 − 9 = 15
Start at 0. Make 6 jumps of 4 to the right. Where do you land?
24.
6 × 4 = 24.
Is 45 ÷ 0 defined? Explain.
No.
No number multiplied by 0 gives 45.
Calculate: (28 − 10) ÷ 3 + 4.
10.
18 ÷ 3 + 4 = 6 + 4.
Put these numbers in increasing order: 305, 350, thirty-five, 503.
35, 305, 350, 503
Find the missing number: ___ + 275 = 640.
365.
640 − 275 = 365.
Calculate: 407 × 100.
40,700
Divide 95 by 8. Give the quotient and remainder.
Quotient 11, remainder 7.
95 = 8 × 11 + 7.
Calculate: 72 ÷ 8 × 5 − 9.
36.
Work left to right: 9 × 5 − 9 = 36.
How many natural numbers are strictly between 38 and 46?
7:
39, 40, 41, 42, 43, 44, 45.
Calculate efficiently: 48 + 137 + 52 − 37.
200.
(48 + 52) + (137 − 37) = 100 + 100.
Name both properties: 18 + 7 = 7 + 18, and
(2 × 5) × 9 = 2 × (5 × 9).
Commutative property of addition;
associative property of multiplication.
Divide 95 by 8. Give the quotient and remainder.
Quotient 11, remainder 7.
95 = 8 × 11 + 7.
A shop has 8 boxes of 24 pencils. It sells 75 pencils. How many pencils remain?
117 pencils.
8 × 24 − 75 = 192 − 75.
I am between 40 and 60. I am divisible by both 6 and 9. What number am I?
54
Find the sum of all natural numbers from 1 to 30.
465.
Make 15 pairs of 31: 15 × 31 = 465.
Use the distributive property to calculate: 48 × 25 + 52 × 25.
2,500.
(48 + 52) × 25 = 100 × 25.
List all positive factors of 36.
1, 2, 3, 4, 6, 9, 12, 18, 36.
A school takes 146 pupils and 8 teachers on a trip. Each bus has 48 passenger seats. How many buses are needed?
4 buses.
154 people need seats. Three buses hold only 144 people.