High School

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4.1. Give the place value of the underlined digit: 14,627.

4.2. What part of this shape is shaded? Write it as a decimal.

4.3. Write 1/25 as a decimal and a percentage.

4.4. Write 36% as a fraction and a decimal.

4.5. Compare, using > < or = :
0.07 0.7
0.2 0.199

4.6. Add 14,621 and 7,927.

4.7. Subtract 0.008 from 11,421.

4.8. 1/8 = ( /100) = %.

Answer :

4.1. The place value of the underlined digit in 14,627 is not shown here with an underline. However, assuming you meant the digit '7', its place value is 'ones'.

4.2. Without a specific shape provided, generally, to write the part of a shape that is shaded as a decimal, you would divide the number of shaded parts by the total number of parts. For example, if 3 out of 10 parts are shaded, it would be 0.3.

4.3. To convert [tex]\frac{1}{25}[/tex] to a decimal, divide 1 by 25, which equals 0.04. To express it as a percentage, multiply by 100 to get 4%.

4.4. 36% can be written as a fraction by placing it over 100: [tex]\frac{36}{100}[/tex]. This fraction reduces to [tex]\frac{9}{25}[/tex]. As a decimal, 36% is 0.36.

4.5. Compare using [tex]>, <,[/tex] or [tex]=[/tex]:

  • 0.07 and 0.70: 0.07 < 0.70
  • 0.2 and 0.199: 0.2 > 0.199

4.6. Adding 14,621 and 7,927:
[tex]14,621 + 7,927 = 22,548[/tex]

4.7. Subtracting 0.008 from 11,421:
[tex]11,421 - 0.008 = 11,420.992[/tex]

4.8. [tex]\frac{1}{8}[/tex] as a fraction of 100 is equivalent to [tex]12.5[/tex] because when you convert [tex]\frac{1}{8}[/tex] into a percentage, it is 12.5%.

1/8 = (12.5/100) = 12.5%.

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