Subtract 667 - 89: Vertical Format Solution Guide

Video Solution

Solution Steps

00:00 Solve

00:03 Each time consider subtracting 2 digits, and then we'll place

00:06 7 is less than 9

00:10 So we'll subtract 1 from the tens and add this amount to the ones

00:14 Meaning now instead of 7 we'll have 17

00:20 Subtract the ones from the ones plus ten

00:23 Place in the ones

00:27 5 is less than 8

00:31 So we'll subtract 1 from the hundreds and add this amount to the tens

00:37 Meaning now instead of 5 we'll have 15

00:40 Subtract the tens from the tens plus ten

00:44 Place in the tens

00:48 Place 0 in the missing digits

00:51 Subtract hundreds from hundreds, and place in hundreds

00:54 And this is the solution to the problem

Step-by-Step Solution

To solve $667 - 89$ , we perform vertical subtraction by aligning the numbers by place value:

Step 1: Start with the units column. Subtract $9$ from $7$ . Since $7 < 9$ , we need to borrow from the tens column. Change $6$ in the tens column to $5$ and add $10$ to the units column, making it $17$ . Now, subtract: $17 - 9 = 8$ .
Step 2: Move to the tens column, where we borrowed from $6$ , changing it to $5$ . Now subtract $8$ from $5$ . Since $5 < 8$ , we need to borrow from the hundreds column. Change $6$ in the hundreds column to $5$ and add $10$ to the tens column, making it $15$ . Now, subtract: $15 - 8 = 7$ .
Step 3: Finally, in the hundreds column: Subtract $0$ from $5$ , leaving $5$ .

Therefore, the solution to $667 - 89$ is $\mathbf{578}$ .

Given the multiple-choice options, the correct choice is option 2: $578$ .