By Marvin L. Bittinger

This most up-to-date variation keeps the Bittinger culture of objective-based, guided studying, whereas additionally integrating well timed updates to the confirmed pedagogy. This variation has a better emphasis on guided studying and supporting scholars get the main out of all the assets to be had, together with new cellular studying assets, even if in a standard lecture, hybrid, lab-based, or on-line course.

summary: This most modern version maintains the Bittinger culture of objective-based, guided studying, whereas additionally integrating well timed updates to the confirmed pedagogy. This variation has a better emphasis on guided studying and assisting scholars get the main out of all the assets on hand, together with new cellular studying assets, no matter if in a standard lecture, hybrid, lab-based, or on-line path

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**Sample text**

Whole Numbers 26/03/14 3:51 AM Sometimes rounding involves changing more than one digit in a number. example 7â•… Round 78,595 to the nearest ten. a) Locate the digit in the tens place, 9. 7 8,5 9 5 ) Consider the next digit to the right, 5. b 7 8,5 9 5 c) Since that digit, 5, is 5 or higher, round 9 tens to 10 tens. We think of 10 tens as 1 hundred + 0 tens and increase the hundreds digit by 1, to get 6 hundreds + 0 tens. We then write 6 in the hundreds place and 0 in the tens place. d) Change the digit to the right of the tens digit to zero.

48 * 63 * 2 3 7. 7 4 6 8. 245 * 837 * 6 2 example 3â•…Multiply:â•‡306 * 274. Note that 306 = 3 hundreds + 6 ones. 2 *3 16 822 8 3,8 7 0 4 0 4 4 6 â•…â•… Multiplying by 6 4 â•…â•…Multiplying by 3 hundreds. ) 0 4 â•…â•…Adding Do Exercises 9–12. Multiply. 9. 4 7 2 10. 408 * 704 * 3 0 6 11. indd 43 43 26/03/14 3:51 AM example 4â•…Multiply:â•‡360 * 274. Note that 360 = 3 hundreds + 6 tens. Multiply. 13. 4 7 2 14. 2 34 4 * 8 30 * 7 40 0 15. 100 * 562 16. a) Find 23 # 47. b) Find 47 # 23. c) Compare your answers to parts (a) and (b).

That is, we multiply 51 by 2, then we multiply 51 by 30, and finally we add. We can write our work in columns. indd 42 Whole Numbers 26/03/14 3:51 AM 5 * 3 10 153 1 2 2 â•…â•… Multiplying by 2 0 â•…â•… Multiplying by 30. ) You may have learned that such a 0 need not be written. You may omit it if you wish. If you do omit it, remember, when multiplying by tens, to start writing the answer in the tens place. * 1 1 5 16 5 multiply whole numbers on a calculaâ†œ and â†œ= keys. tor, we use the * Exercisesâ•… Use a calculator to find each product.