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Write in expanded form: (a) 32.42 (b) 95.6. Add: (a) 4.9 + 32.96 (b) 94.36 + 10.95

Mathematics

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Here are the solutions to the problems in your image:

1. Place Value of the underlined digit

  • a) In 42‾1.264\underline{2}1.26, the underlined digit '2' is in the tens place. The place value is Tens\boxed{\text{Tens}}.
  • b) In 16.4‾216.\underline{4}2, the underlined digit '4' is in the tenths place. The place value is Tenths\boxed{\text{Tenths}}.
  • c) In 43.92‾43.9\underline{2}, the underlined digit '2' is in the hundredths place. The place value is Hundredths\boxed{\text{Hundredths}}.

2. Write in expanded form

  • a) For 32.42: 32.42=3×10+2×1+4×110+2×110032.42 = 3 \times 10 + 2 \times 1 + 4 \times \frac{1}{10} + 2 \times \frac{1}{100} The expanded form is 30+2+0.4+0.02\boxed{30 + 2 + 0.4 + 0.02}.
  • b) For 95.67: 95.67=9×10+5×1+6×110+7×110095.67 = 9 \times 10 + 5 \times 1 + 6 \times \frac{1}{10} + 7 \times \frac{1}{100} The expanded form is 90+5+0.6+0.07\boxed{90 + 5 + 0.6 + 0.07}.

3. Perform the addition

  • a) For 4.97+2.964.97 + 2.96:
  1. Align the decimal points and add the numbers.

    $$
    \begin{array}{r}
      4.97 \\
    + 2.96 \\
    \hline
      7.93 \\
    \end{array}
    $$
    The sum is $\boxed{7.93}$.
    
    • b) For 94.36+10.9594.36 + 10.95:
  2. Align the decimal points and add the numbers.

    $$
    \begin{array}{r}
      94.36 \\
    + 10.95 \\
    \hline
     105.31 \\
    \end{array}
    $$
    The sum is $\boxed{105.31}$.
    
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