5 Fill in the missing number. The sequence is −19; −15; −11; ... 2.1 Replace the box with ;

Question

5 Fill in the missing number. The sequence is −19; −15; −11; ... 2.1 Replace the box with >; < or =. −2 [] 0 2.2 Arrange these numbers in ascending order. 48; −50; −12; 0; 5; −63

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Here are the solutions to the questions:

1.5 Fill in the missing number.
The sequence is $-19; -15; -11; \dots$

Find the common difference between consecutive terms.
The difference between $-15$ and $-19$ is $-15 - (-19) = -15 + 19 = 4$ .
The difference between $-11$ and $-15$ is $-11 - (-15) = -11 + 15 = 4$ .
The common difference is 4.
Add the common difference to the last given term to find the missing number.
The missing number is $-11 + 4 = -7$ .

The correct option is B.
$\boxed{\text{B) } -7}$
2.1 Replace the $\boxed{\phantom{x}}$ with $>; <$ or $=$ to make the statement below true.
$-2 \boxed{\phantom{x}} 0$
Compare the two numbers.
On a number line, $-2$ is to the left of 0. Numbers to the left are smaller.
Choose the correct inequality symbol.
Therefore, $-2$ is less than 0.
$\boxed{-2 < 0}$
2.2 Arrange these numbers in ascending order.
The numbers are $48; -50; -12; 0; 5; -63$ .
Identify and order the negative numbers from smallest (most negative) to largest.
The negative numbers are $-50, -12, -63$ .
In ascending order: $-63, -50, -12$ .
Place zero.
0 comes after all negative numbers.
Identify and order the positive numbers from smallest to largest.
The positive numbers are $48, 5$.
In ascending order: $5, 48$.
Combine all numbers in ascending order.
$\boxed{-63, -50, -12, 0, 5, 48}$
2.3 Calculate:

2.3.1 -34 + (-16)
Simplify the expression.
Adding a negative number is the same as subtracting its positive counterpart.
$-34 + (-16) = -34 - 16$
Perform the subtraction.
$-34 - 16 = -50$ $\boxed{-50}$
2.3.2 18 + (-12)
Simplify the expression.
Adding a negative number is the same as subtracting its positive counterpart.
$18 + (-12) = 18 - 12$
Perform the subtraction.
$18 - 12 = 6$ $\boxed{6}$

5 Fill in the missing number. The sequence is -19; -15; -11; ... 2.1 Replace the box with >; < or =. -2 [] 0 2.2 Arrange these numbers in ascending order. 48; -50; -12; 0; 5; -63

Answer

Step-by-step solution

Find the common difference between consecutive terms.

Add the common difference to the last given term to find the missing number.

Compare the two numbers.

Choose the correct inequality symbol.

Identify and order the negative numbers from smallest (most negative) to largest.

Place zero.

Identify and order the positive numbers from smallest to largest.

Combine all numbers in ascending order.

Simplify the expression.

Perform the subtraction.

Simplify the expression.

Perform the subtraction.

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