___________
Maths
Arithmetic procedures with integers and decimals
Starter quiz
Try it
Give to class
An operation is __________ if a repeated application of the operation produces the same result regardless of how pairs of values are grouped.
commutative
associative ✓
irregular
unneeccary
Select all the examples of the associative law.
31 + 4 = 4 + 31
(17 + 3) + 3 = 17 + (3 + 3) ✓
2 × 8 × 5 = 2 × (8 × 5) ✓
15 – 10 = 10 – 15
Use the commutative law you can rewrite 10 + 4 as
______
.
'4 + 10' ✓
Match each calculation to an equivalent commutative calculation.
3 + 12 + 4
⇔
12 + 3 + 4 ✓
3 × 12 × 4
⇔
4 × 3 × 12 ✓
A + 3 + B
⇔
B + A + 3 ✓
Andeep says, "Division is commutative because 12 ÷ 4 ÷ 3 = 1 and is the same as 12 ÷ 3 ÷ 4 = 1." Select the correct statement.
He is correct as both answers do equal 1.
He is incorrect as the commutative law would also give 4 ÷ 3 ÷ 12 which isn't 1 ✓
He is correct as he has repositioned all the numbers.
The sum of the first 10 integers is
______
. (Do not use a calculator.)
'55' ✓
+