MT1 Review Rational Numbers

MT1 Review Rational Numbers

I can solve rational number problems involving the four operations.

Numbers and their Opposites

• Same absolute value

• Combine to make 0

• Additive Inverses

Fractions to Decimals

• Denominator has to knock on the door to get into the house

• Numerator goes in the house

• Carry the decimal to the roof

• Make the divisor a whole number, whatever you do to the divisor you must do to the dividend.

• Terminating decimals end in 0

• Repeating decimals repeat a pattern

Multiple Choice

Rachel measured a bookshelf that is  $\frac{11}{4}$  meters long. What decimal is equivalent to this measurement? 

• 0.36

• 2.75

• 2.4

• 2

Multiple Choice

Which number is the smallest?

• -¼
• -⅔
• -⅕
• -⅛

Multiple Choice

Which number is the greatest? 

• ¾
• ½
• ⅓
• ⅘

Multiple Choice

Convert to a decimal:

 $\frac{8}{25}$ 

• .22

• .34

• .32

• .5

Adding Rational Numbers

Same sign: Add and keep the sign

Different sign: Subtract and keep the sign of the term with the greater absolute value

Multiple Select

Which questions will have a negative sum?

• 4 + 3

• (-4) +7

• (-6) + (-5)

• 10 + (-9)

• -1,249 + 1,250

Multiple Choice

(-5) + 25

• 15

• 20

• -15

• -20

Multiple Choice

17 + (-17)

• 34

• 0

• -34

Multiple Choice

(-1)+(-5)

• 6

• 0

• 11

• -6

Subtracting Rational Numbers

Instead of subtracting, use the additive inverse. Keep, change, change. DISTANCE is subtracting.

Multiple Select

Which of the following were changed correctly?

• 5 - 17 --> 5 + (-17)

• 6 - (-4) --> 6 + (-4)

• 10 - 5 --> 10 + (-5)

• (-6) - (-7) --> 6 + 7

• (-8) - 11 --> (-8) + (-11)

Multiple Choice

(-6) - 5

• -11

• -1

• 1

• 11

Multiple Choice

10 - 13

• 23

• -23

• 3

• -3

Multiple Choice

(-5) - (-5)

• 10

• 0

• -10

Multiplying Rational Numbers

• Change any mixed numbers to improper fractions

• Multiply numerators together

• Multiply denominators together

• Same signs positive

• Different signs negative

Multiple Select

Which of the following will be positive products?

• $-3.5\ \times\ -5.3$

• $\frac{5}{6}\times-\frac{8}{9}$

• $-\frac{10}{4}\times5$

• $-1.2\ \times\ -4.5$

• $\frac{7}{10}\times\frac{1}{10}$

Dividing Rational Numbers

• Make any mixed numbers into improper fractions

• Change the division symbol to a multiplication symbol

• Flip the second fraction to its reciprocal

• Same signs positive

• Different signs negative

• Whole/Part

• Time is always the denominator

Multiple Select

Which of the following were changed accurately?

• $-\frac{3}{4}\div\frac{1}{2}->\ -\frac{4}{3}\times\frac{1}{2}$

• $2.4\ \div\ 5.2\ ->\ 2.4\ \div\ 5.2$

• $2\ \frac{9}{10}\div\frac{6}{7}->\ \frac{29}{10}\times\frac{7}{6}$

• $\frac{1}{3}\div-\frac{3}{5}-->\ \frac{1}{3}\times-\frac{5}{3}$

• $-2.8\ \div\ 4.0\ ->\ -2.8\ \times0.4$