If a fact family has only 2 multiplication and division sentences, What do you know about the product and dividend?

How many fact families with a dividend under 100 contain only odd numbers ? You can use a multiplication table to help you.

The fact families 2*3= 6 and 2*10=20 both contain exactly three different digits. How many other fact families with dividends under 100 contain exactly three different digits? Name one muliplication fact in each of these families.

Maria made 5 different figures using the same 6 tiles . Do the figures all have the same area, different areas, or are you unable to tell?

Where are answers?

Same area

1. If a fact family has only 2 multiplication and division sentences, it means that there are only two numbers involved in that fact family. One multiplication sentence represents the product (the result of multiplying two numbers together), and the other division sentence represents the dividend (the number being divided).

2. To find the number of fact families with a dividend under 100 that contain only odd numbers, we can use a multiplication table that includes numbers from 1 to 9. From this table, we can see that there are 5 odd numbers (1, 3, 5, 7, 9). Therefore, there are 5 fact families with a dividend under 100 that contain only odd numbers.

3. If the fact families 2*3=6 and 2*10=20 both contain exactly three different digits, it means that the dividends (the numbers being multiplied by 2) have exactly three different digits.
To find other fact families with dividends under 100 that also contain exactly three different digits, we can look for numbers in the range of 10 to 99 that have three different digits. For example, the fact family 3*13=39 also contains exactly three different digits.

4. From the given information, it is unclear whether the figures Maria made using the same 6 tiles have the same area, different areas, or if it is unable to tell. The area of a figure depends on the arrangement or configuration of the tiles, so without knowing the specific configurations of the figures, we cannot determine if they have the same or different areas.

To answer the first question about a fact family with only 2 multiplication and division sentences, we can use the definition of a fact family. In a fact family, there are four related number sentences that involve addition, subtraction, multiplication, and division operations. The two multiplication and division sentences indicate that there is a missing addition or subtraction sentence. Therefore, without more information, we cannot determine anything specific about the product and dividend.

For the second question about fact families with a dividend under 100 containing only odd numbers, we can use a multiplication table to help us. By looking at a multiplication table for numbers under 100, we can identify the fact families where both the multiplier and multiplicand are odd numbers. Counting the number of these fact families will give us the answer to the question.

Regarding the third question about fact families with dividends under 100 that contain exactly three different digits, we need to find the fact families that satisfy this condition. To do this, we iterate through the possible dividends under 100 and check if the product has three different digits. Counting the number of such fact families will give us the answer. We can also provide an example multiplication fact from one of these families.

Lastly, concerning the question about Maria's figures made using six tiles, we cannot determine if they have the same area, different areas, or unable to tell without more specific information about the figures and the configuration of the tiles. The number of tiles alone is not sufficient to determine the area of each figure.