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Study the groups. Write the smallest number? What is the difference between 150 and 105? What number is A?

Mathematics

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15. Study the groups. Write the smallest number?

  1. Calculate the value of the first group.

    The first group has 3 tens (rods), 2 tens (rows of blocks), and 4 ones (individual blocks).

    3×10+2×10+4×1=30+20+4=543 \times 10 + 2 \times 10 + 4 \times 1 = 30 + 20 + 4 = 54

    The first number is 54.

  2. Calculate the value of the second group.

    The second group has 5 tens (rods), 2 tens (rows of blocks), and 6 ones (individual blocks).

    5×10+2×10+6×1=50+20+6=765 \times 10 + 2 \times 10 + 6 \times 1 = 50 + 20 + 6 = 76

    The second number is 76.

  3. Compare the two numbers and identify the smallest.

    Comparing 54 and 76, the smallest number is 54.

    The final answer is 54\boxed{\text{54}}

    16. What is the difference between 150 and 105?

  4. Understand "difference".

    The difference between two numbers is found by subtracting the smaller number from the larger number.

  5. Perform the subtraction.

    150−105=45150 - 105 = 45

    The final answer is 45\boxed{\text{45}}

    17. What number is A?

  6. Analyze the number line to find the pattern.

    The numbers given are 200, 195, A, 175, 170, ..., 150.
    Observe the interval between consecutive known numbers:
    200−195=5200 - 195 = 5
    175−170=5175 - 170 = 5
    The number line is decreasing by 5 for each step.

  7. Determine the value of A.

    To find A, subtract 5 from 195.

    A=195−5A = 195 - 5 A=190A = 190

    The final answer is 190\boxed{\text{190}}

    18. Look at Luvo's birthday cake. If his father is 30 years older than him. How old is his father?

    To determine the father's age, Luvo's current age is needed. This information is not provided in the question.

    The final answer is Luvo’s age is needed to solve this problem.\boxed{\text{Luvo's age is needed to solve this problem.}}

    19. Cathy reads 200 pages of a book. Mike reads 148 pages of the same book. How many more pages did Cathy read than Mike?

  8. Identify the number of pages read by Cathy and Mike.

    Cathy read 200 pages.
    Mike read 148 pages.

  9. Calculate the difference in pages read.

    To find how many more pages Cathy read, subtract Mike's pages from Cathy's pages.

    200−148=52200 - 148 = 52

    The final answer is 52 pages\boxed{\text{52 pages}}

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