A. 90 = 20 + 70. Use the Distributive Property and the GCF of 20 and 70 to write another related expression for 90. Could you write another expression with a different common factoer?
B. 90 = 36 + 54. Use the Distributive Property and the GCF of 36 and 54 to write another related expression for 90. Could you write another expression with different common factor?
90 = 10(2+7)
90 = 9(4+6) = (2+7)(4+6)
A. To use the Distributive Property and the GCF of 20 and 70 to write another related expression for 90:
- First, find the greatest common factor (GCF) of 20 and 70, which is 10.
- Now, we can rewrite 20 as 10 multiplied by 2, and 70 as 10 multiplied by 7.
- Using the Distributive Property, we can write another expression for 90 as follows:
90 = (10 * 2) + (10 * 7)
To write another expression with a different common factor, we can find the GCF of 20 and a different number. For example, let's consider 20 and 30:
- The GCF of 20 and 30 is 10.
- We can rewrite 20 as 10 multiplied by 2, and 30 as 10 multiplied by 3.
- Using the Distributive Property, we can write another expression for 90 as follows:
90 = (10 * 2) + (10 * 3)
B. To use the Distributive Property and the GCF of 36 and 54 to write another related expression for 90:
- First, find the greatest common factor (GCF) of 36 and 54, which is 18.
- Now, we can rewrite 36 as 18 multiplied by 2, and 54 as 18 multiplied by 3.
- Using the Distributive Property, we can write another expression for 90 as follows:
90 = (18 * 2) + (18 * 3)
To write another expression with a different common factor, we can find the GCF of 36 and a different number. For example, let's consider 36 and 45:
- The GCF of 36 and 45 is 9.
- We can rewrite 36 as 9 multiplied by 4, and 45 as 9 multiplied by 5.
- Using the Distributive Property, we can write another expression for 90 as follows:
90 = (9 * 4) + (9 * 5)
A. To use the Distributive Property, we can rewrite the equation as:
90 = 20 + (2 * 35)
Here, the common factor of 20 and 70 is 2. Another related expression could be:
90 = 2 * (10 + 35)
Now, let's try to write another expression with a different common factor. The greatest common factor (GCF) for 20 and 70 is 10. Using the Distributive Property, we can rewrite the equation as:
90 = (10 * 2) + (10 * 7)
Thus, another related expression could be:
90 = 10 * (2 + 7)
B. Using the Distributive Property, we can rewrite the equation as:
90 = (2 * 18) + (2 * 27)
Here, the common factor of 36 and 54 is 2. Another related expression could be:
90 = 2 * (18 + 27)
Now, let's try to write another expression with a different common factor. The greatest common factor (GCF) for 36 and 54 is 18. Using the Distributive Property, we can rewrite the equation as:
90 = (18 * 2) + (18 * 3)
Thus, another related expression could be:
90 = 18 * (2 + 3)