Can someone help me with this problem? I don't understand lattice multiplication. Use lattice multiplication to find the product (Hint: Remember to estimate first!) 124*56. Thanks for your help.
p://www.coolmath4kids.com/times-tables/times-tables-lesson-lattice-multiplication-1.html
estamation 120x60=700
real answer 124x56=626
Of course, I can help you with lattice multiplication! Let's break it down step by step.
First, let's estimate the product of 124 and 56 to get a rough idea of what the answer might be. We can round both numbers to the nearest ten to make it simpler. Rounded to the nearest ten, 124 becomes 120, and 56 remains the same. So the estimated product is approximately 120 times 60.
Now, let's move on to lattice multiplication:
Step 1:
Draw a lattice, or grid, with enough rows and columns to accommodate the digits in both numbers. In this case, we will need three rows and three columns since both numbers have three digits.
1 2 4
x 5 6
Step 2:
Place the first number, 124, along the top row of the lattice, with each digit in a separate column.
1 2 4
x 5 6
Step 3:
Place the second number, 56, along the rightmost column of the lattice, with each digit in a separate row.
1 2 4
x 5 6
-------
4
2
1
Step 4:
Multiply each digit in the top row by each digit in the rightmost column and write the products in the corresponding cells.
1 2 4
x 5 6
-------
4
2
1
2
1
.
Step 5:
Add the numbers diagonally from the right side of the lattice to the left, carrying over any values greater than nine.
1 2 4
x 5 6
-------
4 Carry the 4 upward (4x10)
2 1 Carry the 2 upward (2x100)
1
2
1
.
Step 6:
Add the carried numbers together and write the total.
1 2 4
x 5 6
-------
5 1 4
2 1 Carry the 2 upward (2x100)
1
2
1
.
Step 7:
Write down the final answer, which is 5,214.
1 2 4
x 5 6
-------
5 1 4
2 1
-------
5,214
So, according to lattice multiplication, 124 multiplied by 56 equals 5,214.