Raven is asked to check the answer to the multiplication problem below. Which number sentence could she use to check her answer?
[tex]$23 \times 452=10,396$[/tex]
A. [tex]$23+452=475$[/tex]
B. [tex]$452-23=429$[/tex]
C. [tex]$10,396 \times 23=452$[/tex]
D. [tex]$10,396 \div 23=452$[/tex]
Answer (2)
To check the multiplication 23 × 452 = 10 , 396 , use the inverse operation, division.
Divide the product (10,396) by one factor (23) to see if it equals the other factor (452).
The correct number sentence is 10 , 396 ÷ 23 = 452 .
Therefore, the answer is D .
Explanation
Understanding the Problem Raven needs to check the multiplication problem 23 × 452 = 10 , 396 . To do this, she can use the inverse operation, which is division. We need to find the number sentence that correctly uses division to check the multiplication.
Checking with Division The multiplication problem can be checked by dividing the product (10,396) by one of the factors (23 or 452) to see if it equals the other factor. So, we can check if 10 , 396 ÷ 23 = 452 or 10 , 396 ÷ 452 = 23 .
Analyzing the Options Let's examine the given options:
A) 23 + 452 = 475 (Addition, not related to checking multiplication)
B) 452 − 23 = 429 (Subtraction, not related to checking multiplication)
C) 10 , 396 × 23 = 452 (Multiplication, but in the wrong way)
D) 10 , 396 ÷ 23 = 452 (Division, which is the correct inverse operation)
Selecting the Correct Option Option D, 10 , 396 ÷ 23 = 452 , is the correct number sentence to check the multiplication problem.
Examples
In real life, checking multiplication with division is like verifying your grocery bill. If you bought 23 items each costing $452, the total should be $10,396. To check, you can divide the total ($10,396) by the number of items (23) to ensure each item indeed cost $452. This ensures you haven't been overcharged, applying the same math principle to everyday finances.
To check the multiplication 23 × 452 = 10 , 396 , Raven should use the division 10 , 396 ÷ 23 = 452 . This confirms the accuracy of the multiplication. Thus, the correct option is D.
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