Question

problems 6 - 8: spiral review
fill in each blank with a number that makes the sentence true.
the value of \\(\square \div 6.1\\) is greater than 1.
the value of \\(\square \div 6.1\\) is equal to 1.
the value of \\(\square \div 6.1\\) is less than 1.

Explanation:

Step1: Analyze the first blank (greater than 1)

We know that for a division problem \( \frac{a}{b}>1 \), when \( b > 0 \), we need \( a>b \). Here \( b = 6.1 \), so we can choose a number greater than \( 6.1 \), for example, \( 7 \) (since \( 7\div6.1\approx1.15>1 \)).

Step2: Analyze the second blank (equal to 1)

For \( \frac{a}{b} = 1 \), we need \( a=b \). So when \( b = 6.1 \), \( a = 6.1 \) (because \( 6.1\div6.1 = 1 \)).

Step3: Analyze the third blank (less than 1)

For \( \frac{a}{b}<1 \), when \( b>0 \), we need \( a < b \). Here \( b = 6.1 \), so we can choose a number less than \( 6.1 \), for example, \( 6 \) (since \( 6\div6.1\approx0.98<1 \)).

Answer:

• The first blank can be \( 7 \) (any number greater than \( 6.1 \) is acceptable).
• The second blank is \( 6.1 \).
• The third blank can be \( 6 \) (any number less than \( 6.1 \) is acceptable).