compare the values of the underlined digits. fill in more or less to complete the sentence. the value of the…

compare the values of the underlined digits. fill in more or less to complete the sentence. the value of the 7 in 5,762,419 is ten times \n________ than the value of the 7 in 7,634,215.\nmultiply.\n27,961×9 = \n5,426\n× 3\nfind the product of 1,984 and 7.\nmatthew is painting his house. he used 1\\frac{3}{12} liters of blue paint for his bedroom, and 1\\frac{1}{12} liters of green paint for his kitchen. how many liters of paint did matthew use in all?\nshow your work.\nanswer: ________ liters\ntell how many faces, edges, and vertices each figure has.

compare the values of the underlined digits. fill in more or less to complete the sentence. the value of the 7 in 5,762,419 is ten times \n________ than the value of the 7 in 7,634,215.\nmultiply.\n27,961×9 = \n5,426\n× 3\nfind the product of 1,984 and 7.\nmatthew is painting his house. he used 1\\frac{3}{12} liters of blue paint for his bedroom, and 1\\frac{1}{12} liters of green paint for his kitchen. how many liters of paint did matthew use in all?\nshow your work.\nanswer: ________ liters\ntell how many faces, edges, and vertices each figure has.

Answer

Explanation:

Step1: Compare digit - value

In 5,762,419, the 7 is in the hundred - thousands place, so its value is 700,000. In 7,634,215, the 7 is in the millions place, so its value is 7,000,000. 700,000 is ten times less than 7,000,000.

Step2: Multiply 27,961×9

$27961\times9=(20000 + 7000+900 + 60+1)\times9=20000\times9+7000\times9 + 900\times9+60\times9+1\times9=180000+63000+8100 + 540+9=251649$

Step3: Multiply 5,426×3

$5426\times3=(5000 + 400+20 + 6)\times3=5000\times3+400\times3+20\times3+6\times3=15000+1200+60 + 18=16278$

Step4: Multiply 1,984×7

$1984\times7=(1000 + 900+80 + 4)\times7=1000\times7+900\times7+80\times7+4\times7=7000+6300+560+28=13888$

Step5: Add paint amounts

$1\frac{3}{12}+1\frac{2}{12}=\frac{1\times12 + 3}{12}+\frac{1\times12+2}{12}=\frac{15}{12}+\frac{14}{12}=\frac{15 + 14}{12}=\frac{29}{12}=2\frac{5}{12}$

Step6: Count 3 - D figure properties (rectangular prism)

A rectangular prism has 6 faces, 12 edges, and 8 vertices.

Step7: Count 3 - D figure properties (hexagonal prism)

A hexagonal prism has 8 faces, 18 edges, and 12 vertices.

Answer:

  1. less
  2. 251649
  3. 16278
  4. 13888
  5. $2\frac{5}{12}$
  6. Faces: 6, Edges: 12, Vertices: 8
  7. Faces: 8, Edges: 18, Vertices: 12