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A) If the apples were arranged in groups of 4, what expression will Sushma write to represent the total number of apples? b) If the apples were arranged in groups of 7, what will she write? c) If ther

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3 parts
a

7×4+1\mathbf{7 \times 4 + 1}

b

4×7+1\mathbf{4 \times 7 + 1}

c

4×8+5\mathbf{4 \times 8 + 5}

4×8 and 5\mathbf{4 \times 8 \text{ and } 5}

Step-by-step solution

10 steps

Part a· 3 steps

If the apples were arranged in groups of 4, what expression will Sushma write to represent the total number of apples?

  1. Determine the total number of apples.

    From the problem description, the students collected a total of 29 apples.

  2. Divide the total apples by the new group size.

    We need to arrange 29 apples into groups of 4.

    29÷429 \div 4

    This gives 7 groups with a remainder of 1.

  3. Write the expression in the form (number of groups ×\times group size) + remainder.

    The expression Sushma will write is 7×4+17 \times 4 + 1.
    The total number of apples is 7×4+1=28+1=297 \times 4 + 1 = 28 + 1 = 29.
    The expression is 7×4+1\boxed{\mathbf{7 \times 4 + 1}}.

Part b

4×7+1\mathbf{4 \times 7 + 1}

If the apples were arranged in groups of 7, what will she write?

  1. Determine the total number of apples.

    The total number of apples is 29.

  2. Divide the total apples by the new group size.

    We need to arrange 29 apples into groups of 7.

    29÷729 \div 7

    This gives 4 groups with a remainder of 1.

  3. Write the expression in the form (number of groups ×\times group size) + remainder.

    The expression Sushma will write is 4×7+14 \times 7 + 1.
    The total number of apples is 4×7+1=28+1=294 \times 7 + 1 = 28 + 1 = 29.
    The expression is 4×7+1\boxed{\mathbf{4 \times 7 + 1}}.

Part c

4×8+5\mathbf{4 \times 8 + 5}

If there were 37 bananas, and the teacher asked them to group in bunches of 8, an expression to show how they would be arranged. Identify the terms clearly.

  1. Determine the total number of bananas and the group size.

    Total bananas = 37.
    Group size (bunches) = 8.

  2. Divide the total bananas by the group size.

    37÷837 \div 8

    This gives 4 bunches with a remainder of 5.

  3. Write the expression in the form (number of groups ×\times group size) + remainder.

    The expression is 4×8+54 \times 8 + 5.

  4. Identify the terms in the expression.

    The terms are the parts of the expression separated by addition or subtraction.
    The terms are 4×84 \times 8 and 5.
    The expression is 4×8+5\boxed{\mathbf{4 \times 8 + 5}}.
    The terms are 4×8 and 5\boxed{\mathbf{4 \times 8 \text{ and } 5}}.

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