Multiply 3 and 4 digits by 1 digit with the distributive property CCSS Math: 4.NBT. B.5
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Which two expressions are equivalent to 706 \ times9706 × 9706, times, 9?
Choose 2 answers:
Choose 2 answers:

(700 \ times9) \ times (6 \ times9) (700 × 9) × (6 × 9) left parenthesis, 700, times, 9, right parenthesis, times, left parenthesis, 6, times, 9, right parenthesis

(700 + 6) \ times 9 (700 + 6) × 9left parenthesis, 700, plus, 6, right parenthesis, times, 9

(700 \ times9) + (6 \ times9) (700 × 9) + (6 × 9)

Arrange these numbers from least to greatest 3/5 5/7 2/9

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Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality