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651. Add 15 and 8.

Adding & and ‡ (or 1019), we get 1. Write and carry 1.

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×43. 4 eights are 32, and 3 are 35 (put down 5). 4 ones are 4

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3 and a decimal multiplied by 2 and a decimal gives about what product?

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657. In multiplying 32 by 2.5, how many decimals are pointed off in the product? In multiplying 3.2 by 2.5, how many are pointed off? How many are pointed off in the product of 9.6 by 1.125?

658. Can you tell the relation the number of decimal places in the product bears to the number in the multiplier and in the multiplicand?

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Changing the decimal fraction in the divisor to a common fraction, we have

42÷216=42÷}} = 42 × 11 = 422.

422.1420 ÷ 21.

660. When we change the divisor 2.1 to 21, we have multiplied it by 10, and the same change must be made in the dividend.

661. In the following examples, make each divisor a whole number by removing the decimal point, and make a corresponding change in the dividend.

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663. Remove the decimal point in the divisor three places to the right, and make a corresponding change in the dividend, adding two ciphers.

To show where the decimal point originally belonged, it may be enclosed in a small circle, instead of being erased.

Ans. 15 100.

0013.) 196300.

66

13

00

When the divisor is thus made a whole number, the decimal point in the quotient will be placed under (or over) the new decimal point in the dividend.

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The sign (+) after the last figure of the quotient indicates that there is a remainder.

665. Divide, carrying out the quotient to 3 places of decimals:

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Cancel the ciphers in the divisor, and remove the decimal point in the dividend a corresponding number of places to the left, prefixing ciphers if necessary.

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