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Answer :
We start by forming two fact families. A fact family shows how the same three numbers can be related through multiplication and division.
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Step 1. Consider the numbers [tex]$6$[/tex], [tex]$60$[/tex], and [tex]$360$[/tex]. We can arrange them as follows:
1. Multiplication:
[tex]$$6 \times 60 = 360$$[/tex]
2. Division:
[tex]$$360 \div 6 = 60$$[/tex]
[tex]$$360 \div 60 = 6$$[/tex]
This shows all the relationships between [tex]$6$[/tex], [tex]$60$[/tex], and [tex]$360$[/tex].
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Step 2. Now, consider the numbers [tex]$360$[/tex], [tex]$90$[/tex], and [tex]$4$[/tex]. We can form this fact family as:
1. Multiplication:
[tex]$$90 \times 4 = 360$$[/tex]
2. Division:
[tex]$$360 \div 90 = 4$$[/tex]
[tex]$$360 \div 4 = 90$$[/tex]
These computations show how the three numbers [tex]$90$[/tex], [tex]$4$[/tex], and [tex]$360$[/tex] are all connected.
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Thus, the fact families are:
1. For numbers [tex]$6$[/tex], [tex]$60$[/tex], and [tex]$360$[/tex]:
[tex]$$6 \times 60 = 360, \quad 360 \div 6 = 60, \quad 360 \div 60 = 6.$$[/tex]
2. For numbers [tex]$360$[/tex], [tex]$90$[/tex], and [tex]$4$[/tex]:
[tex]$$90 \times 4 = 360, \quad 360 \div 90 = 4, \quad 360 \div 4 = 90.$$[/tex]
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Step 1. Consider the numbers [tex]$6$[/tex], [tex]$60$[/tex], and [tex]$360$[/tex]. We can arrange them as follows:
1. Multiplication:
[tex]$$6 \times 60 = 360$$[/tex]
2. Division:
[tex]$$360 \div 6 = 60$$[/tex]
[tex]$$360 \div 60 = 6$$[/tex]
This shows all the relationships between [tex]$6$[/tex], [tex]$60$[/tex], and [tex]$360$[/tex].
------------------------------------------------------------------
Step 2. Now, consider the numbers [tex]$360$[/tex], [tex]$90$[/tex], and [tex]$4$[/tex]. We can form this fact family as:
1. Multiplication:
[tex]$$90 \times 4 = 360$$[/tex]
2. Division:
[tex]$$360 \div 90 = 4$$[/tex]
[tex]$$360 \div 4 = 90$$[/tex]
These computations show how the three numbers [tex]$90$[/tex], [tex]$4$[/tex], and [tex]$360$[/tex] are all connected.
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Thus, the fact families are:
1. For numbers [tex]$6$[/tex], [tex]$60$[/tex], and [tex]$360$[/tex]:
[tex]$$6 \times 60 = 360, \quad 360 \div 6 = 60, \quad 360 \div 60 = 6.$$[/tex]
2. For numbers [tex]$360$[/tex], [tex]$90$[/tex], and [tex]$4$[/tex]:
[tex]$$90 \times 4 = 360, \quad 360 \div 90 = 4, \quad 360 \div 4 = 90.$$[/tex]
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