Number Sense

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TACHS Math › Number Sense

Questions 1 - 10
1

Solve:

Explanation

The lines on either side of the negative integer represent that we need to find its absolute value. The absolute value of a number is its real distance from zero on a number line; therefore, we need to calculate how many spaces the number is tot he left of zero on a number line. This number is a distance from zero and will not be negative. All absolute values are positive.

Therefore, the absolute value—or distance from zero—is the following:

2

Solve:

Explanation

The lines on either side of the negative integer represent that we need to find its absolute value. The absolute value of a number is its real distance from zero on a number line; therefore, we need to calculate how many spaces the number is tot he left of zero on a number line. This number is a distance from zero and will not be negative. All absolute values are positive.

Therefore, the absolute value—or distance from zero—is the following:

3

What is the least common multiple of and ?

Explanation

Start by listing out multiples of :

Next, list out multiples of :

Now, find the smallest number that is found in both lists. In this case, the least common multiple must be .

4

What is the least common multiple of and ?

Explanation

Start by listing out multiples of :

Next, list out multiples of :

Now, find the smallest number that is found in both lists. In this case, the least common multiple must be .

5

What is the greatest common factor of and ?

Explanation

Start by listing out the factors of .

Next, list out the factors of .

Now, find the largest factor that the two numbers share. In this case, the greatest common factor is .

6

What is the greatest common factor of and ?

Explanation

Start by listing out the factors of .

Next, list out the factors of .

Now, find the largest factor that the two numbers share. In this case, the greatest common factor is .

7

Which of the following is equivalent to ?

Explanation

Recall that when a number is raised to an exponent, that means we will need to multiply the number the number of times that is equal to the exponent.

Thus, with , this means we will need to multiply by itself four times:

8

Which of the following is equivalent to ?

Explanation

Recall that when a number is raised to an exponent, that means we will need to multiply the number the number of times that is equal to the exponent.

Thus, with , this means we will need to multiply by itself four times:

9

Examine the decimal

What is the place value of the position occupied by the "6"?

Ten Thousandths

Tenths

Thousandths

Hundredths

Explanation

After the decimal point, the place values of the digits are, in order:

...

The "6" is in the fourth place after the decimal point, so its place value is one ten-thousandth.

10

Examine the decimal

What is the place value of the position occupied by the "6"?

Ten Thousandths

Tenths

Thousandths

Hundredths

Explanation

After the decimal point, the place values of the digits are, in order:

...

The "6" is in the fourth place after the decimal point, so its place value is one ten-thousandth.

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