Lee said that the multiplication fact 5×5=___
can be used to check 10÷5=___
.
Is Lee correct? Explain how you know if he is right or wrong.
(2 points)
Lee is correct.
To check if 10÷5 is equal to 5×5, we can use the property of division called the division property of equality. This property states that if a=b, then a/c=b/c, as long as c is not equal to 0.
In this case, 5×5=25. So, if we divide 25 by 5, we get 5. Therefore, 10÷5 is indeed equal to 5×5.
Yes, Lee is correct. To check the division problem 10÷5, we can use the corresponding multiplication fact, which is 5×5.
When we perform the multiplication 5×5, we obtain the product 25. If we divide 10 by 5, we should also get 25. Let's check:
10 ÷ 5 = 2
However, since we are checking the division problem, we are not looking for the quotient itself but rather the product of the divisor and quotient. Therefore, we need to multiply the quotient by the divisor:
5 × 2 = 10
As we see, 5 × 2 equals to 10, which matches the original dividend. Hence, Lee is correct in saying that we can use the multiplication fact 5×5 to check the division problem 10÷5.
To check if Lee's statement is correct, we need to understand the relationship between multiplication and division.
Multiplication and division are inverse operations. This means that if we know the product of two numbers (the result of multiplication), we can use division to find one of the factors (one of the original numbers), and vice versa.
In this case, Lee is suggesting that the multiplication fact 5×5 can be used to check the division fact 10÷5. Let's examine if this is true:
To check 10÷5, we are looking for the factor (the number we divide by) if we know the product (the result of multiplication). In this case, the product is 10, and we are looking for the factor that, when multiplied by 5, gives us 10.
If we divide 10 by 5, we get 2 as the quotient. However, the multiplication fact 5×5 does not provide the factor 2. Therefore, Lee's statement is incorrect.
To check 10÷5, we should use the multiplication fact 2×5=10, as it correctly gives us the factor (2) when multiplying 5.
In conclusion, Lee's statement is incorrect because the multiplication fact 5×5 cannot be used to accurately check the division fact 10÷5.