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Answer :
We are given the three numbers: [tex]$6$[/tex], [tex]$60$[/tex], and [tex]$360$[/tex]. A fact family shows the relationship between these numbers using both multiplication and division.
1. First, notice that when you multiply [tex]$6$[/tex] by [tex]$60$[/tex], you get:
[tex]$$
6 \times 60 = 360.
$$[/tex]
2. Because multiplication is commutative, we also have:
[tex]$$
60 \times 6 = 360.
$$[/tex]
3. Now, you can use division as the inverse operation of multiplication. If you know that
[tex]$$
6 \times 60 = 360,
$$[/tex]
then dividing [tex]$360$[/tex] by [tex]$6$[/tex] gives:
[tex]$$
360 \div 6 = 60,
$$[/tex]
and dividing [tex]$360$[/tex] by [tex]$60$[/tex] gives:
[tex]$$
360 \div 60 = 6.
$$[/tex]
Thus, the fact family is:
- Multiplication facts:
[tex]$$
6 \times 60 = 360 \quad \text{and} \quad 60 \times 6 = 360
$$[/tex]
- Division facts:
[tex]$$
360 \div 6 = 60 \quad \text{and} \quad 360 \div 60 = 6.
$$[/tex]
These operations show the consistent relationship among the numbers [tex]$6$[/tex], [tex]$60$[/tex], and [tex]$360$[/tex].
1. First, notice that when you multiply [tex]$6$[/tex] by [tex]$60$[/tex], you get:
[tex]$$
6 \times 60 = 360.
$$[/tex]
2. Because multiplication is commutative, we also have:
[tex]$$
60 \times 6 = 360.
$$[/tex]
3. Now, you can use division as the inverse operation of multiplication. If you know that
[tex]$$
6 \times 60 = 360,
$$[/tex]
then dividing [tex]$360$[/tex] by [tex]$6$[/tex] gives:
[tex]$$
360 \div 6 = 60,
$$[/tex]
and dividing [tex]$360$[/tex] by [tex]$60$[/tex] gives:
[tex]$$
360 \div 60 = 6.
$$[/tex]
Thus, the fact family is:
- Multiplication facts:
[tex]$$
6 \times 60 = 360 \quad \text{and} \quad 60 \times 6 = 360
$$[/tex]
- Division facts:
[tex]$$
360 \div 6 = 60 \quad \text{and} \quad 360 \div 60 = 6.
$$[/tex]
These operations show the consistent relationship among the numbers [tex]$6$[/tex], [tex]$60$[/tex], and [tex]$360$[/tex].
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