Question

Fill in the boxes to make the number sentences true:
a. 7 x ___= 63
b. 63 ÷ __ = 9

Answer 1

For the math number sentences, the box in 7 x ___ = 63 should contain the number 9, and the box in 63 ÷ __ = 9 should contain the number 7. These answers are verified by the mathematical operations of division and multiplication respectively.

Step-by-step explanation:

To answer the student's question, we need to fill in the boxes for each of the number sentences so that they are true:

• a. 7 x ___ = 63
• b. 63 ÷ __ = 9

For question (a), to find the missing number, we can divide 63 by 7. So,

1. Divide 63 by 7.
2. We get 63 ÷ 7 = 9.
3. Therefore, the box should contain the number 9 to make the sentence true (7 x 9 = 63).

For question (b), we need to determine what number 63 is divided by to get 9. We can use reverse operations:

1. Multiply 9 by the unknown number to get 63.
2. 9 times what number equals 63?
3. Multiplying 9 by 7 gives us 63.
4. So, the box should contain the number 7 to make the sentence true (63 ÷ 7 = 9).

Remembering to check the answer to see if it is reasonable is always an important step in mathematical problem-solving.