In this video you will learn that ''How to Divide 4 Digit Numbers by 1 Digit Number | SAT Math Tips and Tricks"
Dividing a 4-digit number by a 1-digit number involves using long division, where you divide the first digit of the 4-digit number by the 1-digit number, then repeat the process with the remainder and the next digit of the 4-digit number.
Here's a step-by-step breakdown of how to divide a 4-digit number by a 1-digit number using long division:
1. Set up the problem:
Write the 4-digit number (the dividend) inside the long division symbol and the 1-digit number (the divisor) outside.
Example: If you want to divide 1234 by 2, you would set it up like this:
2. Divide the first digit:
Start by dividing the first digit of the dividend by the divisor.
In our example (1234 ÷ 2), divide 1 by 2. Since 1 is smaller than 2, it cannot be divided, so you consider the first two digits, 12.
How many times does 2 go into 12? It goes in 6 times.
Write the 6 above the 2 in the dividend (1234).
3. Multiply and Subtract:
Multiply the divisor (2) by the quotient digit (6) and write the result (12) below the 12 in the dividend.
Subtract 12 from 12, which equals 0.
4. Bring Down the Next Digit:
Bring down the next digit of the dividend (3) next to the 0.
5. Repeat the Process:
Divide the new number (03) by the divisor (2).
How many times does 2 go into 3? It goes in 1 time.
Write the 1 next to the 6 in the quotient (61).
Multiply the divisor (2) by the quotient digit (1) and write the result (2) below the 3.
Subtract 2 from 3, which equals 1.
Divide the new number (14) by the divisor (2).
How many times does 2 go into 14? It goes in 7 times.
Write the 7 next to the 1 in the quotient (617).
Multiply the divisor (2) by the quotient digit (7) and write the result (14) below the 14.
Subtract 14 from 14, which equals 0.
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