What's one way to check the answer to [tex]5 \times 6=30[/tex]?
A) [tex]30 \times 6=5[/tex]
B) [tex]30 \times 5=6[/tex]
C) [tex]30 \div 6=5[/tex]
D) [tex]5 \div 6=30[/tex]
Answer (2)
To check the multiplication 5 × 6 = 30 , we use the inverse operation, division.
If 5 × 6 = 30 , then 30 ÷ 6 should equal 5 .
Option C, 30 ÷ 6 = 5 , is the correct way to check the answer.
Options A, B, and D are incorrect.
The correct option is C .
Explanation
Understanding the Problem We are given the equation 5 × 6 = 30 and asked to find a way to check if the answer is correct. The options provided are: A) 30 × 6 = 5 B) 30 × 5 = 6 C) 30 ÷ 6 = 5 D) 5 ÷ 6 = 30
Using Inverse Operation To check the multiplication 5 × 6 = 30 , we can use the inverse operation, which is division. If a × b = c , then c ÷ a = b and c ÷ b = a .
Checking Each Option Let's examine each option:
Option A: 30 × 6 = 5 is incorrect because it uses multiplication instead of division to check the original multiplication.
Option B: 30 × 5 = 6 is incorrect for the same reason as option A.
Option C: 30 ÷ 6 = 5 is correct because it uses division to check the original multiplication. 30 ÷ 6 does indeed equal 5 .
Option D: 5 ÷ 6 = 30 is incorrect because it does not follow the correct relationship between multiplication and division.
Final Answer Therefore, the correct way to check the answer to 5 × 6 = 30 is 30 ÷ 6 = 5 .
Examples
In everyday life, checking multiplication with division is useful in various scenarios. For example, if you buy 5 items that each cost $6, the total cost is $30. To verify this, you can divide the total cost ($30) by the number of items (5) to see if the cost per item is indeed $6. This simple check ensures that you haven't been overcharged or made a mistake in your calculation. Understanding the inverse relationship between multiplication and division helps in verifying calculations in shopping, budgeting, and other practical situations.
The best way to check the multiplication 5 × 6 = 30 is through division. The correct choice is option C: 30 ÷ 6 = 5 , confirming that 5 times 6 equals 30. Therefore, using inverse operations helps to verify calculations accurately.
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