Which equations show the fact family for 6, 7, and 42? Select all that apply.
(1 point)
Responses
6+7=13
6 + 7 = 13
6×7=42
6 × 7 = 42
42÷7=6
42 ÷ 7 = 6
42−6=36
42 - 6 = 36
42÷6=7
6 + 7 = 13
6 × 7 = 42
42 ÷ 7 = 6
42 - 6 = 36
42 ÷ 6 = 7
The equations that show the fact family for 6, 7, and 42 are:
6 + 7 = 13
6 × 7 = 42
42 ÷ 7 = 6
The fact family for 6, 7, and 42 consists of addition, subtraction, multiplication, and division equations that relate these three numbers. To determine which equations show the fact family, we need to check which equations can be used to create all three numbers.
The addition equations that can be used to create all three numbers are:
6 + 7 = 13
7 + 6 = 13
The multiplication equation that can be used to create all three numbers is:
6 × 7 = 42
7 × 6 = 42
The division equation that can be used to create all three numbers is:
42 ÷ 7 = 6
The subtraction equation, 42 - 6 = 36, does not include both 6 and 7, so it is not part of the fact family.
Thus, the equations that show the fact family for 6, 7, and 42 are:
6 + 7 = 13
7 + 6 = 13
6 × 7 = 42
7 × 6 = 42
42 ÷ 7 = 6
So the correct choices are:
- 6 + 7 = 13
- 6 × 7 = 42
- 42 ÷ 7 = 6