680 ÷ 5 = (1 point) using 5th grade box method
To solve 680 ÷ 5 using the 5th grade box method, you would set up a long division problem. Here is an example of how you could set it up:
136
–––––––
5) 680
You would then divide the numbers one digit at a time, starting with the leftmost digit (6).
explain it more
Sure! The box method is a method of long division that helps to visually organize the steps of the division process. To illustrate how to use the box method to solve 680 ÷ 5, follow these steps:
Step 1: Set up the division problem. Write the dividend (680) inside a long division bracket. Write the divisor (5) outside of the bracket on the left side.
5) │ 680
Step 2: Analyze the first digit of the dividend. In this case, the first digit is 6. Ask yourself, how many times does 5 go into 6? The answer is 1.
1
________
5) │ 680
Step 3: Multiply the quotient (1) by the divisor (5), and write the product underneath the dividend.
1
________
5) │ 680
-5
Step 4: Subtract the product from the first set of digits in the dividend (680 - 5).
1
________
5) │ 680
-5
-----
18
Step 5: Bring down the next digit from the dividend (in this case, the second digit is 8), to create a new dividend (18).
1
________
5) │ 680
-5
-----
18
8
Step 6: Analyze the new dividend (18). Ask yourself, how many times does 5 go into 18? The answer is 3.
1
________
5) │ 680
-5
-----
18
-15
3
Step 7: Multiply the new quotient (3) by the divisor (5), and write the product underneath the new dividend (18).
1
________
5) │ 680
-5
-----
18
-15
-----
3
Step 8: Subtract the product from the new dividend (18 - 15).
1
________
5) │ 680
-5
-----
18
-15
-----
3
Step 9: There are no more digits in the dividend to bring down, so the division process ends.
Result: The quotient is 136.
So, 680 ÷ 5 = 136.
explain the last one more better
Certainly! Let me explain Step 8 in more detail.
Step 8: Subtract the product from the new dividend (18 - 15).
In this step, we're subtracting the product of the quotient (3) and the divisor (5) from the new dividend (18). This is done to calculate the remainder and determine if there are any more digits to bring down.
Here's the calculation:
1
________
5) │ 680
-5
-----
18
-15
-----
3
Subtracting 15 from 18, we get a remainder of 3.
Now, since there are no more digits to bring down from the original dividend of 680, the division process ends. The quotient obtained so far is 136 (1 brought down from the initial dividend, and 3 from the subsequent iterations).
Thus, 680 ÷ 5 = 136, with a remainder of 3.
To solve the division problem using the 5th grade box method, follow these steps:
Step 1: Draw a large box with two sections, one on top of the other. The top section represents the dividend (680) and the bottom section represents the divisor (5).
Step 2: Divide the first digit of the dividend (6) by the divisor (5). The result is 1. Write this answer above the box, on the right side of the dividend.
1
_______
5) 680
Step 3: Multiply the result from step 2 (1) by the divisor (5). The product is 5. Write this number below the first digit of the dividend.
1
_______
5) 680
5
Step 4: Subtract the product (5) from the first digit of the dividend (6). The difference is 1. Write this number to the right of the remaining digits in the dividend.
1
_______
5) 680
5
___
1
Step 5: Bring down the next digit of the dividend (8) and write it to the right of the difference obtained in step 4 (1).
1
_______
5) 680
5
___
18
Step 6: Divide the new number (18) by the divisor (5). The result is 3. Write this answer to the right of the previous quotient.
1 3
_______
5) 680
5
___
18
Step 7: Multiply the new quotient (3) by the divisor (5). The product is 15. Write this number below the 18.
1 3
_______
5) 680
5
___
18
15
Step 8: Subtract the product (15) from the numbers written below. The difference is 3. Write it to the right of the remaining digit in the dividend.
1 3
_______
5) 680
5
___
18
15
___
38
Step 9: Bring down any remaining digits of the dividend, which is 0 in this case.
1 3
_______
5) 680
5
___
18
15
___
38
0
Step 10: Since there are no more digits in the dividend, we have obtained the final quotient, which is 136.
1 3 6
_______
5) 680
5
___
18
15
___
38
0
So, 680 ÷ 5 = 136 using the 5th grade box method.