Mastering Multiplication and Division of Rational Numbers

This video tutorial covers the basics of multiplying and dividing mixed numbers, fractions, and decimals. It explains how to handle decimal place values, multiply and simplify fractions, and divide numbers to find complete decorations. The tutorial also addresses working with mixed numbers and decimals, and concludes with subtraction techniques and final calculations.

If you have 6 pencils and each one costs 0.153, how do you calculate the total cost?

• Divide 6 by 0.153 and move the decimal three places to the left.

• Multiply 6 by 0.153 and move the decimal two places to the right.

• Add 6 to 0.153 and move the decimal three places to the right.

• Multiply 6 by 0.153 and move the decimal three places to the left.

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CCSS.6.NS.B.3

What is the result of multiplying 1.2 by 87?

• 104.4

• 104.04

• 1044

• 10.44

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CCSS.4.NBT.B.6

How many times does 3 go into 28?

• 8 times

• 9 times

• 7 times

• 10 times

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CCSS.4.NBT.B.6

What is the reciprocal of 3/7?

• 7/3

• 3/7

• 1/7

• 1/3

How do you simplify 91/42?

• Subtract 7 from both numerator and denominator

• Add 7 to both numerator and denominator

• Multiply both numerator and denominator by 7

• Divide both numerator and denominator by 7

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CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

What is the result of multiplying 3 and 3/4 by 1/2?

• 1 and 1/2

• 1 and 7/8

• 2 and 1/4

• 1 and 3/4

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

How do you subtract 3/8 from 2 and 1/4?

• Subtract the whole numbers and then the fractions

• Subtract the fractions directly

• Convert to decimals and subtract

• Convert to improper fractions and find a common denominator

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CCSS.6.NS.B.3

What is the result of adding 2.5 and 1.4?

• 3.9

• 3.8

• 4.0

• 3.7

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CCSS.5.NBT.B.7

How do you handle the decimal places when multiplying 8 by 3.5?

• Move the decimal two places to the left

• Move the decimal one place to the right

• Move the decimal one place to the left

• Move the decimal two places to the right

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CCSS.5.NBT.B.7

What is the result of subtracting 1.78 from 2?

• 0.32

• 0.12

• 0.42

• 0.22

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CCSS.5.NBT.B.7