Division of decimals
- 2. Dividing a Decimal by a Whole Number • Place the decimal point in the quotient directly above the decimal point in the dividend. • Divide as you normally would (DMSCB)
- 5. Dividing a Decimal by a Decimal • Move the decimal point in the divisor to the right, until you get to the end of the digits. • Count how many places you moved that decimal. • Move the decimal point in the dividend the same number of places to the right that you moved the decimal point in the divisor.
- 6. Example 0.3 6.72 one space 03 67.2 New problem
- 8. Example 2 3.2 2.24 32 22.4 . 32 x 5 160 32 x 8 256 32 x 7 224 7 22 4 0
- 9. Example 3 0.38 13.3 The decimal must be moved 2 spaces to the right. When we move this one 2 spaces, we find that we need to add a space. What will we fill it with? Answer: Fill it in with a 0. 13.3 becomes 1330 SO, our problem becomes 038 into 1330. 038 is the same as 38.
- 10. 38 1330 38 x 5 190 38 x 4 152 38 x 3 114 3 114 190 5 190 0
- 11. Example 4 2.48 1.3392 248 133.92
- 12. 248 133.92 . 248 x 5 1240 248 x 6 1488 5 124 0 99 2 248 x 4 992 4 9 92 0
- 13. Terminating and Repeating Decimals • A terminating decimal is a decimal that stops, or terminates. • Examples: 1.25 or 0.892 • A repeating decimal is a decimal that has a repeating digit or a repeating group of digits. • Examples: 1.3333… or .121212121… • Repeating decimals usually have a bar across the repeating portion. 2.3
- 15. 56 .0 .8 4 8 2 0 0 3 18 2 0 0 3 18 2 This is a repeating decimal. .83