All Common Core: 6th Grade Math Resources
Example Questions
Example Question #65 : The Number System
Solve:
The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:
If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:
The new division problem should look as follows:
*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.
Now we can divide like normal:
Think: how many times can 44 go into 344
44 can go into 344 seven times times so we write a 7 over the 4 in the dividend:
Next, we multiply 7 and 44 and write that product underneath the 344 and subtract:
Now we bring down the 2 from the dividend to make the 36 into a 362.
Think: how many times can 44 go into 362?
44 can go into 362 eight times so we write a 8 above the 2 in the dividend:
Next, we multiply 8 and 44 and write that product underneath the 362 and subtract:
Now we bring down the 5 from the dividend to make the 10 into a 105.
Think: how many times can 44 go into 105?
44 can go into 105 two times so we write a 2 above the 5 in the dividend:
Next, we multiply 2 and 44 and write that product underneath the 105 and subtract:
Now we bring down the 6 from the dividend to make the 17 into a 176.
Think: how many times can 44 go into 176?
44 can go into 176 three times so we write a 3 above the 6 in the dividend:
Next, we multiply 3 and 44 and write that product underneath the 176 and subtract:
Notice our remainder is 44 so our answer is 7.823R44.
Example Question #66 : The Number System
Solve:
The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:
If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:
The new division problem should look as follows:
*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.
Now we can divide like normal:
Think: how many times can 84 go into 159
84 can go into 159 one time times so we write a 1 over the 9 in the dividend:
Next, we multiply 1 and 84 and write that product underneath the 159 and subtract:
Now we bring down the 7 from the dividend to make the 75 into a 757.
Think: how many times can 84 go into 757?
84 can go into 757 nine times so we write a 9 above the 7 in the dividend:
Next, we multiply 9 and 84 and write that product underneath the 757 and subtract:
Now we bring down the 0 from the dividend to make the 1 into a 10.
Think: how many times can 84 go into 10?
84 can go into 10 zero so we write a 0 above the 0 in the dividend:
Next, we multiply 0 and 84 and write that product underneath the 10 and subtract:
Now we bring down the 8 from the dividend to make the 10 into a 108.
Think: how many times can 84 go into 108?
84 can go into 108 one time so we write a 1 above the 8 in the dividend:
Next, we multiply 1 and 84 and write that product underneath the 108 and subtract:
Notice our remainder is 24 so our answer is 1.901R24.
Example Question #63 : The Number System
Solve:
The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:
If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:
The new division problem should look as follows:
*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.
Now we can divide like normal:
Think: how many times can 81 go into 190
81 can go into 190 two times times so we write a 2 over the 0 in the dividend:
Next, we multiply 2 and 81 and write that product underneath the 190 and subtract:
Now we bring down the 4 from the dividend to make the 28 into a 284.
Think: how many times can 81 go into 284?
81 can go into 284 three times so we write a 3 above the 4 in the dividend:
Next, we multiply 3 and 81 and write that product underneath the 284 and subtract:
Now we bring down the 9 from the dividend to make the 41 into a 419.
Think: how many times can 81 go into 419?
81 can go into 419 five times so we write a 5 above the 9 in the dividend:
Next, we multiply 5 and 81 and write that product underneath the 419 and subtract:
Now we bring down the 4 from the dividend to make the 14 into a 144.
Think: how many times can 81 go into 144?
81 can go into 144 one time so we write a 1 above the 4 in the dividend:
Next, we multiply 1 and 81 and write that product underneath the 144 and subtract:
Notice our remainder is 63 so our answer is 2.351R63.
Example Question #64 : The Number System
Solve:
The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:
If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:
The new division problem should look as follows:
*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.
Now we can divide like normal:
Think: how many times can 78 go into 426
78 can go into 426 five times times so we write a 5 over the 6 in the dividend:
Next, we multiply 5 and 78 and write that product underneath the 426 and subtract:
Now we bring down the 3 from the dividend to make the 36 into a 363.
Think: how many times can 78 go into 363?
78 can go into 363 four times so we write a 4 above the 3 in the dividend:
Next, we multiply 4 and 78 and write that product underneath the 363 and subtract:
Now we bring down the 2 from the dividend to make the 51 into a 512.
Think: how many times can 78 go into 512?
78 can go into 512 six times so we write a 6 above the 2 in the dividend:
Next, we multiply 6 and 78 and write that product underneath the 512 and subtract:
Now we bring down the 3 from the dividend to make the 44 into a 443.
Think: how many times can 78 go into 443?
78 can go into 443 five times so we write a 5 above the 3 in the dividend:
Next, we multiply 5 and 78 and write that product underneath the 443 and subtract:
Notice our remainder is 53 so our answer is 5.465R53.
Example Question #21 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3
Solve:
The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:
If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:
The new division problem should look as follows:
*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.
Now we can divide like normal:
Think: how many times can 81 go into 336
81 can go into 336 four times times so we write a 4 over the 6 in the dividend:
Next, we multiply 4 and 81 and write that product underneath the 336 and subtract:
Now we bring down the 3 from the dividend to make the 12 into a 123.
Think: how many times can 81 go into 123?
81 can go into 123 one time so we write a 1 above the 3 in the dividend:
Next, we multiply 1 and 81 and write that product underneath the 123 and subtract:
Now we bring down the 1 from the dividend to make the 42 into a 421.
Think: how many times can 81 go into 421?
81 can go into 421 five times so we write a 5 above the 1 in the dividend:
Next, we multiply 5 and 81 and write that product underneath the 421 and subtract:
Now we bring down the 5 from the dividend to make the 16 into a 165.
Think: how many times can 81 go into 165?
81 can go into 165 two times so we write a 2 above the 5 in the dividend:
Next, we multiply 2 and 81 and write that product underneath the 165 and subtract:
Notice our remainder is 3 so our answer is 4.152R3.
Example Question #22 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3
Solve:
The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:
If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:
The new division problem should look as follows:
*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.
Now we can divide like normal:
Think: how many times can 84 go into 205
84 can go into 205 two times times so we write a 2 over the 5 in the dividend:
Next, we multiply 2 and 84 and write that product underneath the 205 and subtract:
Now we bring down the 6 from the dividend to make the 37 into a 376.
Think: how many times can 84 go into 376?
84 can go into 376 four times so we write a 4 above the 6 in the dividend:
Next, we multiply 4 and 84 and write that product underneath the 376 and subtract:
Now we bring down the 1 from the dividend to make the 40 into a 401.
Think: how many times can 84 go into 401?
84 can go into 401 four times so we write a 4 above the 1 in the dividend:
Next, we multiply 4 and 84 and write that product underneath the 401 and subtract:
Now we bring down the 2 from the dividend to make the 65 into a 652.
Think: how many times can 84 go into 652?
84 can go into 652 seven times so we write a 7 above the 2 in the dividend:
Next, we multiply 7 and 84 and write that product underneath the 652 and subtract:
Notice our remainder is 64 so our answer is 2.447R64.
Example Question #23 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3
Solve:
The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:
If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:
The new division problem should look as follows:
*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.
Now we can divide like normal:
Think: how many times can 40 go into 104
40 can go into 104 two times times so we write a 2 over the 4 in the dividend:
Next, we multiply 2 and 40 and write that product underneath the 104 and subtract:
Now we bring down the 8 from the dividend to make the 24 into a 248.
Think: how many times can 40 go into 248?
40 can go into 248 six times so we write a 6 above the 8 in the dividend:
Next, we multiply 6 and 40 and write that product underneath the 248 and subtract:
Now we bring down the 7 from the dividend to make the 8 into a 87.
Think: how many times can 40 go into 87?
40 can go into 87 two times so we write a 2 above the 7 in the dividend:
Next, we multiply 2 and 40 and write that product underneath the 87 and subtract:
Now we bring down the 5 from the dividend to make the 7 into a 75.
Think: how many times can 40 go into 75?
40 can go into 75 one time so we write a 1 above the 5 in the dividend:
Next, we multiply 1 and 40 and write that product underneath the 75 and subtract:
Notice our remainder is 35 so our answer is 2.621R35.
Example Question #24 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3
Solve:
The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:
If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:
The new division problem should look as follows:
*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.
Now we can divide like normal:
Think: how many times can 78 go into 415
78 can go into 415 five times times so we write a 5 over the 5 in the dividend:
Next, we multiply 5 and 78 and write that product underneath the 415 and subtract:
Now we bring down the 7 from the dividend to make the 25 into a 257.
Think: how many times can 78 go into 257?
78 can go into 257 three times so we write a 3 above the 7 in the dividend:
Next, we multiply 3 and 78 and write that product underneath the 257 and subtract:
Now we bring down the 9 from the dividend to make the 23 into a 239.
Think: how many times can 78 go into 239?
78 can go into 239 three times so we write a 3 above the 9 in the dividend:
Next, we multiply 3 and 78 and write that product underneath the 239 and subtract:
Now we bring down the 2 from the dividend to make the 5 into a 52.
Think: how many times can 78 go into 52?
78 can go into 52 zero so we write a 0 above the 2 in the dividend:
Next, we multiply 0 and 78 and write that product underneath the 52 and subtract:
Notice our remainder is 52 so our answer is 5.330R52.
Example Question #25 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3
Solve:
The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:
If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:
The new division problem should look as follows:
*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.
Now we can divide like normal:
Think: how many times can 89 go into 289
89 can go into 289 three times times so we write a 3 over the 9 in the dividend:
Next, we multiply 3 and 89 and write that product underneath the 289 and subtract:
Now we bring down the 5 from the dividend to make the 22 into a 225.
Think: how many times can 89 go into 225?
89 can go into 225 two times so we write a 2 above the 5 in the dividend:
Next, we multiply 2 and 89 and write that product underneath the 225 and subtract:
Now we bring down the 3 from the dividend to make the 47 into a 473.
Think: how many times can 89 go into 473?
89 can go into 473 five times so we write a 5 above the 3 in the dividend:
Next, we multiply 5 and 89 and write that product underneath the 473 and subtract:
Now we bring down the 1 from the dividend to make the 28 into a 281.
Think: how many times can 89 go into 281?
89 can go into 281 three times so we write a 3 above the 1 in the dividend:
Next, we multiply 3 and 89 and write that product underneath the 281 and subtract:
Notice our remainder is 14 so our answer is 3.253R14.
Example Question #26 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3
Solve:
The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:
If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:
The new division problem should look as follows:
*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.
Now we can divide like normal:
Think: how many times can 79 go into 333
79 can go into 333 four times times so we write a 4 over the 3 in the dividend:
Next, we multiply 4 and 79 and write that product underneath the 333 and subtract:
Now we bring down the 5 from the dividend to make the 17 into a 175.
Think: how many times can 79 go into 175?
79 can go into 175 two times so we write a 2 above the 5 in the dividend:
Next, we multiply 2 and 79 and write that product underneath the 175 and subtract:
Now we bring down the 3 from the dividend to make the 17 into a 173.
Think: how many times can 79 go into 173?
79 can go into 173 two times so we write a 2 above the 3 in the dividend:
Next, we multiply 2 and 79 and write that product underneath the 173 and subtract:
Now we bring down the 3 from the dividend to make the 15 into a 153.
Think: how many times can 79 go into 153?
79 can go into 153 one time so we write a 1 above the 3 in the dividend:
Next, we multiply 1 and 79 and write that product underneath the 153 and subtract:
Notice our remainder is 74 so our answer is 4.221R74.