Question

vocabulary
choose the correct term from the vocabulary box.
1 the answer to a multiplication problem is the ______.
2 when each group has the same number of objects, these are ______.
3 the ______ states that you can multiply factors in any order, and the product stays the same.
4 the ______ are the numbers being multiplied.
concepts and skills
5 use tools what is the unknown number in the equation?
$6 \times 7 = 7 \times \square$
tell the strategy or tool you will use to solve the problem, explain your choice, and then find the answer.
a 6
b 7
c 13
d 42
6 there are 3 trays on a counter. each tray has 8 plates. write an addition equation and a multiplication equation to find the number of plates on 3 trays.
vocabulary box:
commutative property of multiplication
equal groups
factors
multiply
product

Explanation:

Sub - question 5

Step 1: Recall the Commutative Property of Multiplication

The Commutative Property of Multiplication states that for any two numbers \(a\) and \(b\), \(a\times b=b\times a\). In the equation \(6\times7 = 7\times\square\), we can use this property.

Step 2: Apply the property to find the unknown

Comparing with \(a\times b=b\times a\), here \(a = 6\) and \(b = 7\). So, \(6\times7=7\times6\), which means the unknown number is \(6\). Also, we can calculate both sides: \(6\times7 = 42\) and \(7\times6=42\), \(7\times7 = 49
eq42\), \(7\times13 = 91
eq42\), \(7\times42=294
eq42\). So the correct option is A.

Step 1: Write the addition equation

We have 3 trays, and each tray has 8 plates. To find the total number of plates using addition, we add the number of plates in each tray. So the addition equation is \(8 + 8+8\).

Step 2: Calculate the addition equation

\(8 + 8+8=24\).

Step 3: Write the multiplication equation

Multiplication is a shortcut for repeated addition. If we have 3 groups of 8, the multiplication equation is \(3\times8\) (or \(8\times3\)).

Step 4: Calculate the multiplication equation

\(3\times8 = 24\) (or \(8\times3 = 24\)).

Answer:

A. 6

Sub - question 6