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Which is one way to check out the answer to $120 \div 4=30$?
A) $30 \times 120=4$
B) $120 \times 4=30$
C) $30 \div 4=120$
D) $30 \times 4=120
Answer (1)
To check the division 120 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t ÷ 4 = 30 , we use multiplication.
Multiply the quotient (30) by the divisor (4).
Check if the result equals the dividend (120).
The correct equation is 30 × 4 = 120 .
Explanation
Understanding the Relationship Between Division and Multiplication To check the answer to a division problem, we can use multiplication. The division problem is 120 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t ÷ 4 = 30 . This means that if we multiply the quotient (30) by the divisor (4), we should get the dividend (120).
Checking the Options Let's check the options: A) 30 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t × 120 = 4 is incorrect because 30 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t × 120 = 3600 , not 4. B) 120 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t × 4 = 30 is incorrect because 120 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t × 4 = 480 , not 30. C) 30 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t ÷ 4 = 120 is incorrect because 30 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t ÷ 4 = 7.5 , not 120. D) 30 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t × 4 = 120 is correct because 30 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t × 4 does indeed equal 120.
Final Answer Therefore, the correct way to check the answer to 120 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t ÷ 4 = 30 is 30 o b re ak o in d e n t \[ 0.2 c m ] o b re ak o in d e n t × 4 = 120 .
Examples
Imagine you're splitting a bill of $120 between 4 friends. If each person pays $30, you can check if the total is correct by multiplying $30 by 4, which should equal the original bill amount of $120. This principle applies to various scenarios, such as calculating costs, dividing quantities, and verifying financial transactions, ensuring accuracy and fairness in everyday calculations.
