In the equation □ - 7 = 13, what does the symbol □ represent when solved?

The symbol □ represents 20, which is the total number of cookies.

If 4 × □ = 700, how much does each glass hold?

Each glass holds 175 ml, as □ is calculated by 700 ÷ 4.

Fill in the blank: If 50 - □ = 5, then □ equals ___.

45 cents, as it represents the cost of the apple.

True or False: If 3a + o = 200 and a = 50 cents, then o must also equal 50 cents.

True, because if a = 50 cents, then 4a = 200 leads to o being 50 cents.

Riddle: I am the result of adding plums and kiwis, and my total is 15. What am I?

You are the sum of plums and kiwis, represented by the equation p + k = 15.

What operations are primarily used in solving missing number problems?

Inverse Operations

Solving Missing Number Problems

• Inverse operations such as addition and subtraction are essential for finding missing values in equations.

• Multiplication and division can also be used to isolate variables and identify unknowns in mathematical problems.

• Understanding these operations enhances problem-solving skills and aids in grasping fundamental mathematical concepts.

Fill in the blank: The relationship between double, half, and sum can be expressed in equations like p + k = ___.

15, which represents the total number of plums and kiwis.

If you know that the change from an apple is 5 cents and you had 50 cents, how much did the apple cost?

The apple cost 45 cents, as calculated by 50 - 5.

What is the significance of the order of operations in mathematical calculations?

Fill in the blank: In the equation 23 - 8 × 3, the result is ___ because multiplication is performed before subtraction.

-1

True or False: In the expression 19 - 10 + 11, the operations should be performed from left to right.

True

Riddle: I am a sequence that tells you how to solve me; I prioritize multiplication and division over addition and subtraction. What am I?

The order of operations

In the equation 36 - 18 ÷ 6, what is the final result after applying the order of operations?

33

Using the equations flower + leaf = 30 and flower - leaf = 18, what are the values of flower and leaf?

Flower = 24, leaf = 6

Fill in the blank: When adding the equations flower + leaf = 30 and flower - leaf = 18, the result of 2 × flower = ___ allows us to find the value of flower.

48

What is the mathematical outcome of the expression 20 - 3 × 3?

11

True or False: The calculation 5 × 3 - 6 results in 15.

False, the correct result is 9.

Riddle: I can be added, subtracted, multiplied, or divided but I always follow a strict order. What am I in mathematics?

The order of operations

What is the result of 5 × 3 - 6?

The result is 9 because 5 × 3 equals 15, and subtracting 6 gives 9.

Fill in the blank: The product of 365 and 24 can be calculated using the ___ method or the expanded method.

Column

True or False: 497 ÷ 7 equals 71 with no remainder.

False. 497 ÷ 7 equals 71 with a remainder of 0.

What is the compact method for calculating 365 × 24?

Riddle: I am used to determine how many times a number fits into another. What am I?

Division

What is the result of 36 - 18 ÷ 6?

The result is 33 because first, you divide 18 by 6 to get 3, and then subtract that from 36.

Fill in the blank: When using the expanded method for multiplication, you break down numbers into ___ of tens and units.

Components